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NCERT Solutions for Class 10 Science

Chapter 1: Chemical Reactions and Equations

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Complete NCERT Solution PDF for Chapter 1: Chemical Reactions and Equations

NCERT Solutions For Class 10 Science Chapter 1 Chemical Reactions and Equations helps students understand how substances undergo changes during chemical reactions and how these reactions are represented scientifically. The page provides detailed NCERT Solutions that explain important concepts such as chemical equations, balancing equations, types of reactions, and observations during chemical changes. NCERT Solutions For Class 10 Science make it easier for students to understand concepts like combination reactions, decomposition reactions, displacement reactions, and oxidation-reduction reactions. The chapter builds a strong foundation for learning advanced chemical processes and reactions. These solutions help students solve textbook questions, revise important concepts, and prepare effectively for board examinations. Students can access the chapter PDF for quick revision and practice. The step-by-step explanations improve conceptual clarity and help students understand chemical changes in a better way.

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Intext Questions (Page 6)

1 Why should a magnesium ribbon be cleaned before burning in air?

Solution

Concept : Magnesium is quite reactive. Even at room temperature it combines slowly with the oxygen of air, forming a thin, white layer of magnesium oxide on its surface.

Step 1 – Surface reaction at room temperature
$$\mathrm{2Mg\,(s) + O_2\,(g) \rightarrow 2MgO\,(s)}$$

The oxide film $$\mathrm{MgO}$$ is insoluble and sticks tightly to the metal.

Step 2 – Effect of the oxide film during burning

  • The adherent layer blocks contact between atmospheric oxygen and the underlying magnesium.
  • Because of this barrier the ribbon either fails to ignite or burns very feebly.

Step 3 – Purpose of cleaning
Rubbing with sand-paper removes the oxide coating, exposing a shiny, fresh metallic surface that can react freely with oxygen. The cleaned ribbon therefore ignites at once and burns with an intense white flame.

Conclusion
A magnesium ribbon must be cleaned before burning so that the oxide layer is removed and rapid combustion can occur.

Answer

Cleaning scrapes off the thin coating of $$\mathrm{MgO}$$ that forms naturally on magnesium; removing this barrier exposes fresh metal, allowing the ribbon to catch fire and burn vigorously in air.

2 Write the balanced equation for the following chemical reactions.

(i) Hydrogen + Chlorine $$\rightarrow$$ Hydrogen chloride

Solution

Word equation
Hydrogen + Chlorine → Hydrogen chloride

Write the skeletal (unbalanced) equation using formulae
$$\mathrm{H_2 + Cl_2 \rightarrow HCl}$$

Check and balance atoms one element at a time

  • Hydrogen (H): Reactant side has 2; product side has 1.
  • Chlorine (Cl): Reactant side has 2; product side has 1.

The simplest way to make both H and Cl even on the product side is to put coefficient 2 in front of $$\mathrm{HCl}$$:

$$\mathrm{H_2 + Cl_2 \rightarrow 2HCl}$$

Verify the balance

ElementReactantsProducts
H22
Cl22

All elements have equal counts on both sides, so the equation is balanced.

Answer

$$\mathrm{H_2 + Cl_2 \rightarrow 2HCl}$$

(ii) Barium chloride + Aluminium sulphate $$\rightarrow$$ Barium sulphate + Aluminium chloride

Solution

Word equation
Barium chloride + Aluminium sulphate → Barium sulphate + Aluminium chloride

Skeletal (unbalanced) equation
$$\mathrm{BaCl_2 + Al_2(SO_4)_3 \rightarrow BaSO_4 + AlCl_3}$$

Balance sulfate (SO4) ions first
There are 3 sulfate ions on the reactant side. Put coefficient 3 before $$\mathrm{BaSO_4}$$ so that the product side also has 3 sulfate ions.

$$\mathrm{BaCl_2 + Al_2(SO_4)_3 \rightarrow 3BaSO_4 + AlCl_3}$$

Balance barium (Ba)
The product side now has 3 Ba atoms (in 3 BaSO4), so place coefficient 3 before $$\mathrm{BaCl_2}$$.

$$\mathrm{3BaCl_2 + Al_2(SO_4)_3 \rightarrow 3BaSO_4 + AlCl_3}$$

Balance aluminium (Al)
Reactant side has 2 Al atoms (from $$\mathrm{Al_2(SO_4)_3}$$). Put coefficient 2 before $$\mathrm{AlCl_3}$$.

$$\mathrm{3BaCl_2 + Al_2(SO_4)_3 \rightarrow 3BaSO_4 + 2AlCl_3}$$

Check chlorine (Cl)
Reactants: 3 BaCl2 gives $$3\times 2 = 6$$ Cl atoms.
Products: 2 AlCl3 gives $$2\times 3 = 6$$ Cl atoms.

Final check

ElementReactantsProducts
Ba33
Al22
S33
O1212
Cl66

All atoms balance, so the equation is correct.

Answer

$$\mathrm{3BaCl_2 + Al_2(SO_4)_3 \rightarrow 3BaSO_4 + 2AlCl_3}$$

(iii) Sodium + Water $$\rightarrow$$ Sodium hydroxide + Hydrogen

Solution

Word equation
Sodium + Water → Sodium hydroxide + Hydrogen

Skeletal (unbalanced) equation
$$\mathrm{Na + H_2O \rightarrow NaOH + H_2}$$

Balance hydrogen (H)

  • Reactant side: 2 H (in $$\mathrm{H_2O}$$)
  • Product side: 1 H (in $$\mathrm{NaOH}$$) + 2 H (in $$\mathrm{H_2}$$) = 3 H

Because hydrogen appears in two products, start by balancing sodium (Na) and oxygen (O) first.

Balance sodium (Na) and oxygen (O)
The only oxygen is in $$\mathrm{NaOH}$$, so make the coefficient of $$\mathrm{NaOH}$$ equal to that of $$\mathrm{H_2O}$$ to keep O atoms equal on both sides. Put 2 in front of both $$\mathrm{H_2O}$$ and $$\mathrm{NaOH}$$:

$$\mathrm{Na + 2H_2O \rightarrow 2NaOH + H_2}$$

Now balance sodium (Na) by placing 2 in front of Na on the reactant side:

$$\mathrm{2Na + 2H_2O \rightarrow 2NaOH + H_2}$$

Verification

ElementReactantsProducts
Na22
O22
H4 (in 2H2O)4 (2 in 2NaOH + 2 in H2)

All atoms are balanced.

Answer

$$\mathrm{2Na + 2H_2O \rightarrow 2NaOH + H_2}$$

3 Write a balanced chemical equation with state symbols for the following reactions.

(i) Solutions of barium chloride and sodium sulphate in water react to give insoluble barium sulphate and the solution of sodium chloride.

Solution

Step 1 — Write the word equation.
Barium chloride solution + Sodium sulphate solution → Barium sulphate (insoluble) + Sodium chloride solution

Step 2 — Translate each substance into a chemical formula.
$$\mathrm{BaCl_2},\;\mathrm{Na_2SO_4},\;\mathrm{BaSO_4},\;\mathrm{NaCl}$$

Step 3 — Write the skeletal (un-balanced) equation.
$$\mathrm{BaCl_2 + Na_2SO_4 \rightarrow BaSO_4 + NaCl}$$

Step 4 — Balance the atoms.

  • Cl: left = 2 (in $$\mathrm{BaCl_2}$$); right = 1 (in $$\mathrm{NaCl}$$).
      Put coefficient 2 in front of $$\mathrm{NaCl}$$.
  • Na: left = 2 (in $$\mathrm{Na_2SO_4}$$); right = 2 (now in $$2\,\mathrm{NaCl}$$) ✔️
  • Ba, S, O are already equal.

Balanced equation (still without states):
$$\mathrm{BaCl_2 + Na_2SO_4 \rightarrow BaSO_4 + 2\,NaCl}$$

Step 5 — Insert state symbols.
$$\mathrm{BaCl_2(aq) + Na_2SO_4(aq) \rightarrow BaSO_4(s) + 2\,NaCl(aq)}$$

Answer

$$\mathrm{BaCl_2(aq) + Na_2SO_4(aq) \rightarrow BaSO_4(s) + 2\,NaCl(aq)}$$

(ii) Sodium hydroxide solution (in water) reacts with hydrochloric acid solution (in water) to produce sodium chloride solution and water.

Solution

Step 1 — Write the word equation.
Sodium hydroxide solution + Hydrochloric acid solution → Sodium chloride solution + Water

Step 2 — Translate into chemical formulae.
$$\mathrm{NaOH},\;\mathrm{HCl},\;\mathrm{NaCl},\;\mathrm{H_2O}$$

Step 3 — Write the skeletal equation.
$$\mathrm{NaOH + HCl \rightarrow NaCl + H_2O}$$

Step 4 — Check balancing.
Na: 1 = 1, H: (1+1)=2 = 2, Cl: 1 = 1, O: 1 = 1 ✔️ (already balanced)

Step 5 — Insert state symbols.
$$\mathrm{NaOH(aq) + HCl(aq) \rightarrow NaCl(aq) + H_2O(l)}$$

Answer

$$\mathrm{NaOH(aq) + HCl(aq) \rightarrow NaCl(aq) + H_2O(l)}$$

Intext Questions (Page 10)

1 A solution of a substance 'X' is used for whitewashing.

(i) Name the substance 'X' and write its formula.

Solution

Step 1 – Recognise the context.
The question refers to Activity 1.7 of the NCERT text, in which a lump of a white solid is dropped into water. The solid hisses, the water becomes hot and a milky suspension is formed; this suspension is brushed on walls as a white-wash.

Step 2 – Identify the dry substance ‘X’ that is taken in water.
The white solid that is mixed with water to make the white-wash is quicklime, i.e. calcium oxide. (Quicklime is what is sold as “chuna” in the market for white-washing.)

Hence the substance ‘X’ = calcium oxide, formula $$\mathrm{CaO}$$.

Answer

Substance ‘X’ is calcium oxide (quicklime), $$\mathrm{CaO}$$. (When mixed with water it is converted into slaked lime, $$\mathrm{Ca(OH)_2}$$, which is the milky liquid actually brushed on the walls.)

(ii) Write the reaction of the substance 'X' named in (i) above with water.

Solution

When quicklime is treated with water, it gets slaked to give calcium hydroxide. The reaction is exothermic and can be written as:

$$\mathrm{CaO + H_2O \longrightarrow Ca(OH)_2 + \text{heat}}$$

The product $$\mathrm{Ca(OH)_2}$$ (slaked lime) taken in water is the actual white-wash that is brushed on the walls.

Answer

$$\mathrm{CaO + H_2O \longrightarrow Ca(OH)_2}$$ (exothermic)

2 Why is the amount of gas collected in one of the test tubes in Activity 1.7 double of the amount collected in the other? Name this gas.

Solution

In Activity 1.7 distilled water is made slightly conducting by adding a few drops of dilute $$\mathrm{H_2SO_4}$$ and is then electrolysed between two inert electrodes.

Step 1 – Write the overall decomposition reaction.

$$\mathrm{2H_2O(l) \xrightarrow[\;\;\text{electricity}\;\;]{} 2H_2(g) + O_2(g)}$$

Step 2 – What happens at each electrode.

  • Cathode (negative electrode) : $$\mathrm{H^+}$$ ions from water gain electrons and are reduced to hydrogen gas:
    $$\mathrm{4H^+ + 4e^- \rightarrow 2H_2(g)}$$
  • Anode (positive electrode) : $$\mathrm{OH^-}$$ ions (or water molecules) lose electrons and are oxidised to oxygen gas. (Note: free $$\mathrm{O^{2-}}$$ ions do not exist in aqueous solution; what is actually discharged at the anode is $$\mathrm{OH^-}$$ / $$\mathrm{H_2O}$$.)
    $$\mathrm{4OH^- \rightarrow O_2(g) + 2H_2O(l) + 4e^-}$$

Step 3 – Stoichiometry.
The balanced overall equation produces 2 mol of $$\mathrm{H_2}$$ for every 1 mol of $$\mathrm{O_2}$$, i.e. mole ratio $$\mathrm{H_2:O_2}=2:1$$.

Step 4 – Mole–volume relationship.
By Avogadro’s law, equal moles of any gases at the same temperature and pressure occupy equal volumes. Therefore a $$2:1$$ mole ratio translates directly to a $$2:1$$ volume ratio.

Step 5 – Observation in the apparatus.
The test tube placed over the cathode collects twice the volume of gas as the test tube over the anode. The gas with the larger volume is hydrogen; the one with the smaller volume is oxygen.

Answer

Electrolysis of water gives $$\mathrm{H_2}$$ at the cathode and $$\mathrm{O_2}$$ at the anode in the mole (and hence volume) ratio $$2:1$$, so one test tube collects twice as much gas as the other. The gas present in the larger amount (over the cathode) is hydrogen.

Intext Questions (Page 13)

1 Why does the colour of copper sulphate solution change when an iron nail is dipped in it?

Solution

When an iron nail is immersed in an aqueous solution of copper(II) sulphate, a displacement reaction takes place because iron lies above copper in the reactivity series.

Step 1 – Write the chemical equation
$$\mathrm{Fe(s) + CuSO_4(aq) \rightarrow FeSO_4(aq) + Cu(s)}$$

Step 2 – Compare the positions in the reactivity series

  • Iron, $$\mathrm{Fe}$$, is more reactive than copper, $$\mathrm{Cu}$$.
  • A more reactive metal can displace a less reactive metal from its salt solution.

Step 3 – Explain the observed colour change

  • Before the reaction: the solution contains $$\mathrm{Cu^{2+}}$$ ions, producing the characteristic blue colour of $$\mathrm{CuSO_4}$$.
  • During the reaction: iron atoms lose two electrons and go into solution as $$\mathrm{Fe^{2+}}$$ ions;
    $$\mathrm{Fe \rightarrow Fe^{2+} + 2e^-}$$
  • Simultaneously, the released electrons reduce the $$\mathrm{Cu^{2+}}$$ ions to copper metal, which deposits as a reddish-brown layer on the nail;
    $$\mathrm{Cu^{2+} + 2e^- \rightarrow Cu}$$
  • After the reaction: the solution now mainly contains $$\mathrm{Fe^{2+}}$$ ions. An aqueous solution of $$\mathrm{FeSO_4}$$ is pale green, so the blue colour gradually fades and changes to light green.

Hence, the colour change occurs because blue $$\mathrm{Cu^{2+}}$$ ions are replaced by pale-green $$\mathrm{Fe^{2+}}$$ ions as iron displaces copper from copper sulphate.

Answer

Iron displaces copper from the solution: $$\mathrm{Fe + CuSO_4 \rightarrow FeSO_4 + Cu}$$; blue $$\mathrm{Cu^{2+}}$$ ions are replaced by pale-green $$\mathrm{Fe^{2+}}$$ ions, so the solution’s colour changes.

2 Give an example of a double displacement reaction other than the one given in Activity 1.10.

Solution

Step 1 – Recall the definition
A double-displacement (or metathesis) reaction is one in which two ionic compounds exchange their positive and negative ions to form two new compounds.

Step 2 – Choose suitable reactants
Take aqueous solutions of barium chloride and sodium sulphate. Their ions are:

  • $$\mathrm{BaCl_2(aq)}: \;Ba^{2+},\;Cl^-$$
  • $$\mathrm{Na_2SO_4(aq)}: \;Na^+,\;SO_4^{2-}$$

Step 3 – Write the skeletal equation
$$\mathrm{BaCl_2 + Na_2SO_4 \rightarrow BaSO_4 + NaCl}$$

Step 4 – Exchange the ions
The cation $$\mathrm{Ba^{2+}}$$ pairs with the anion $$\mathrm{SO_4^{2-}}$$ to give $$\mathrm{BaSO_4}$$, while $$\mathrm{Na^+}$$ pairs with $$\mathrm{Cl^-}$$ to give $$\mathrm{NaCl}$$.

Step 5 – Balance the equation

  1. Count atoms in the skeletal form:
    Ba:1  Cl:2  Na:2  S:1  O:4
  2. Product side currently has Ba:1  Cl:1  Na:1  S:1  O:4
  3. To equalise Na and Cl, put coefficient 2 in front of $$\mathrm{NaCl}$$:
    $$\mathrm{BaCl_2 + Na_2SO_4 \rightarrow BaSO_4 + 2\,NaCl}$$
  4. Now each element has identical counts on both sides, so the equation is balanced.

Step 6 – State the physical changes
$$\mathrm{BaSO_4}$$ is insoluble in water and appears as a white precipitate, confirming that a reaction has occurred.

Final balanced double-displacement reaction
$$\mathrm{BaCl_2(aq) + Na_2SO_4(aq) \rightarrow BaSO_4(s)\downarrow + 2\,NaCl(aq)}$$

Answer

Example: $$\mathrm{BaCl_2(aq) + Na_2SO_4(aq) \rightarrow BaSO_4(s) \downarrow + 2\,NaCl(aq)}$$

3 Identify the substances that are oxidised and the substances that are reduced in the following reactions.

(i) $$\mathrm{4Na(s) + O_2(g) \rightarrow 2Na_2O(s)}$$

Solution

The reaction is

$$\mathrm{4Na(s) + O_2(g) \rightarrow 2Na_2O(s)}$$

  1. Assign oxidation states.

    • In elemental form, $$\mathrm{Na}$$ and $$\mathrm{O_2}$$ have oxidation state 0.
    • In $$\mathrm{Na_2O}$$, oxygen carries its usual value $$-2$$. Let the oxidation state of Na be $$x$$.
    Using charge–balance:
    $$2x + (-2) = 0 \;\Rightarrow\; x = +1$$

  2. Compare the changes.

    SubstanceInitial O.S.Final O.S.Change
    $$\mathrm{Na}$$0+1Increase (oxidation)
    $$\mathrm{O}$$ (in $$\mathrm{O_2}$$)0−2Decrease (reduction)
  3. Conclusion.

    • $$\mathrm{Na}$$ is oxidised (O.S. rises 0 → +1).
    • $$\mathrm{O_2}$$ is reduced (O.S. falls 0 → –2).

Answer

Oxidised : $$\mathrm{Na}$$ Reduced : $$\mathrm{O_2}$$

(ii) $$\mathrm{CuO(s) + H_2(g) \rightarrow Cu(s) + H_2O(l)}$$

Solution

The reaction is

$$\mathrm{CuO(s) + H_2(g) \rightarrow Cu(s) + H_2O(l)}$$

  1. Assign oxidation states.

    • In $$\mathrm{CuO}$$, let Cu have oxidation state $$x$$; oxygen is −2.
    $$x + ( -2 ) = 0 \;\Rightarrow\; x = +2$$
    • $$\mathrm{H_2}$$ and $$\mathrm{Cu}$$ (elements) have O.S. 0.
    • In $$\mathrm{H_2O}$$, hydrogen is +1 and oxygen −2.

  2. Compare the changes.

    SubstanceInitial O.S.Final O.S.Change
    $$\mathrm{Cu}$$ (in CuO)+20Decrease (reduction)
    $$\mathrm{H}$$ (in H2)0+1Increase (oxidation)
  3. Conclusion.

    • $$\mathrm{H_2}$$ is oxidised (O.S. rises 0 → +1).
    • $$\mathrm{CuO}$$ is reduced (Cu O.S. falls +2 → 0).

Answer

Oxidised : $$\mathrm{H_2}$$ Reduced : $$\mathrm{CuO}$$

Exercises

1

Which of the statements about the reaction below are incorrect?

$$\mathrm{2PbO(s) + C(s) \rightarrow 2Pb(s) + CO_2(g)}$$

(a) Lead is getting reduced.
(b) Carbon dioxide is getting oxidised.
(c) Carbon is getting oxidised.
(d) Lead oxide is getting reduced.

(i) (a) and (b)
(ii) (a) and (c)
(iii) (a), (b) and (c)
(iv) all

Solution

Step 1 – Write the balanced equation
$$\mathrm{2PbO(s)+C(s)\;\longrightarrow\;2Pb(s)+CO_2(g)}$$

Step 2 – Recall the definitions

  • Oxidation: gain of oxygen / loss of electrons.
  • Reduction: loss of oxygen / gain of electrons.

Step 3 – Identify the species that gain or lose oxygen

  • $$\mathrm{C}$$ gains two atoms of oxygen to give $$\mathrm{CO_2}$$  →  carbon is oxidised.
  • $$\mathrm{PbO}$$ loses one atom of oxygen to give $$\mathrm{Pb}$$  →  lead oxide is reduced.

Step 4 – Test each statement

LabelStatementTrue / FalseReason
(a)Lead is getting reduced.FalseThe species that is reduced is lead oxide; the metallic lead appears only as a product.
(b)Carbon dioxide is getting oxidised.False$$\mathrm{CO_2}$$ is formed after oxidation of carbon; it undergoes no further change.
(c)Carbon is getting oxidised.TrueCarbon gains oxygen to form $$\mathrm{CO_2}$$.
(d)Lead oxide is getting reduced.True$$\mathrm{PbO}$$ loses oxygen to form $$\mathrm{Pb}$$.

Step 5 – Pick the option that lists all incorrect statements
Incorrect statements: (a) and (b).
Option (i) matches this set.

Answer

(i)  (a) and (b)

2

$$\mathrm{Fe_2O_3 + 2Al \rightarrow Al_2O_3 + 2Fe}$$

The above reaction is an example of a

(a) combination reaction.
(b) double displacement reaction.
(c) decomposition reaction.
(d) displacement reaction.

Solution

First, let us recall the characteristic features of the four reaction types mentioned in the options:

  • Combination reaction: Two or more reactants combine to give a single product, e.g. $$ ext{A} + ext{B} \rightarrow ext{AB}$$.
  • Decomposition reaction: A single compound breaks down into two or more simpler substances, e.g. $$\text{AB} \rightarrow \text{A} + \text{B}$$.
  • Double-displacement (double-decomposition) reaction: Ions are exchanged between two compounds to form two new compounds, e.g. $$\text{AB} + \text{CD} \rightarrow \text{AD} + \text{CB}$$.
  • Displacement (single-displacement) reaction: A more reactive element displaces a less reactive element from its compound, e.g. $$\text{A} + \text{BC} \rightarrow \text{AC} + \text{B}$$.

The given chemical equation is

$$\mathrm{Fe_2O_3 + 2Al \rightarrow Al_2O_3 + 2Fe}$$

Let us analyse it step by step.

  1. The reactants are $$\mathrm{Fe_2O_3}$$ (iron(III) oxide) and $$\mathrm{Al}$$ (aluminium—an element).
  2. The products are $$\mathrm{Al_2O_3}$$ (aluminium oxide) and $$\mathrm{Fe}$$ (iron—an element).
  3. Notice that aluminium, which is a more reactive metal than iron (check the reactivity series), takes the place of iron in the oxide. In other words, aluminium removes oxygen from iron(III) oxide, producing aluminium oxide and leaving elemental iron behind.
  4. This exactly matches the general pattern of a single displacement reaction: $$\text{A} + \text{BC} \rightarrow \text{AC} + \text{B}$$, where
    • $$\text{A}$$ corresponds to $$\mathrm{Al}$$,
    • $$\text{BC}$$ corresponds to $$\mathrm{Fe_2O_3}$$, and
    • the products $$\text{AC}$$ and $$\text{B}$$ correspond to $$\mathrm{Al_2O_3}$$ and $$\mathrm{Fe}$$, respectively.
  5. Because only one element (iron) is displaced from its compound by another (aluminium), it is not a double-displacement reaction. Also, two reactants are giving two products, so it cannot be a combination or decomposition reaction.

Therefore, the given reaction is a displacement reaction.

Answer

(d) displacement reaction

3

What happens when dilute hydrochloric acid is added to iron fillings? Tick the correct answer.

(a) Hydrogen gas and iron chloride are produced.
(b) Chlorine gas and iron hydroxide are produced.
(c) No reaction takes place.
(d) Iron salt and water are produced.

Solution

Metals that are placed above hydrogen in the reactivity series displace hydrogen from dilute acids to form a salt and liberate hydrogen gas.

Iron lies above hydrogen, so it will react with dilute hydrochloric acid.

Write the skeletal equation first:

$$\mathrm{Fe + HCl \rightarrow FeCl_2 + H_2}$$

To balance the chlorine and hydrogen atoms, place the coefficient 2 before $$\mathrm{HCl}:$$

$$\mathrm{Fe + 2\,HCl \rightarrow FeCl_2 + H_2\uparrow}$$

The balanced equation shows that the reaction produces iron(II) chloride $$\mathrm{(FeCl_2)}$$ and hydrogen gas $$\mathrm{(H_2)}.$

Hence, the correct option is (a).

Answer

(a) Hydrogen gas and iron chloride are produced.

4 What is a balanced chemical equation? Why should chemical equations be balanced?

Solution

Step 1 ‒ Meaning of a balanced chemical equation

An equation is said to be balanced when the number of atoms of each element present in the reactants side equals the number of atoms of the same element present in the products side.

Example (unbalanced): $$\mathrm{H_2 + O_2 \;\to\; H_2O}$$

  • Reactant side: $$\mathrm{H}=2$$ atoms, $$\mathrm{O}=2$$ atoms
  • Product side: $$\mathrm{H}=2$$ atoms, $$\mathrm{O}=1$$ atom

Because oxygen is not equal on the two sides, the equation is not balanced.

After balancing: $$\mathrm{2H_2 + O_2 \;\to\; 2H_2O}$$

  • Reactant side: $$\mathrm{H}=4$$; $$\mathrm{O}=2$$
  • Product side: $$\mathrm{H}=4$$; $$\mathrm{O}=2$$

Now every element shows the same count on both sides, so the equation is balanced.


Step 2 ‒ Why must equations be balanced?

  1. Law of conservation of mass. Atoms (and hence mass) can neither be created nor destroyed in an ordinary chemical reaction. Therefore the total mass—and, atom by atom, the total number of each element—must remain unchanged: $$\displaystyle \text{mass}_{\text{reactants}} = \text{mass}_{\text{products}}$$ Balancing an equation enforces this natural law.
  2. Correct stoichiometric information. The numerical coefficients obtained while balancing indicate the exact, smallest whole-number mole ratio in which reactants combine and products form. Without balancing, quantitative calculations (e.g. determining how much reactant is needed or how much product will form) would be impossible or wrong.

Hence every chemical equation must be balanced before it can be used reliably in theory or practice.

Answer

A balanced chemical equation contains equal numbers of atoms of each element on the reactant and the product sides. Equations are balanced so that they obey the law of conservation of mass and provide the correct stoichiometric ratios for quantitative calculations.

5 Translate the following statements into chemical equations and then balance them.

(a) Hydrogen gas combines with nitrogen to form ammonia.

Solution

Step 1 – Write the skeletal equation
Hydrogen gas (H2) combines with nitrogen gas (N2) to form ammonia (NH3):
$$\mathrm{H_2 + N_2 \rightarrow NH_3}$$

Step 2 – List atom count (unbalanced)

LeftRight
N21
H23

Step 3 – Balance nitrogen
Place coefficient 2 before NH3: $$\mathrm{H_2 + N_2 \rightarrow 2NH_3}$$

Step 4 – Re-count & balance hydrogen
Right side now has $$2 \times 3 = 6$$ H-atoms.
Put coefficient 3 before H2: $$\mathrm{3H_2 + N_2 \rightarrow 2NH_3}$$

Step 5 – Verify

LeftRight
N22
H66

Atoms balance, so the equation is correctly balanced.

Answer

$$\mathrm{3H_2 + N_2 \rightarrow 2NH_3}$$

(b) Hydrogen sulphide gas burns in air to give water and sulpur dioxide.

Solution

Step 1 – Skeletal equation
Hydrogen sulphide burns in oxygen to give water and sulphur dioxide:
$$\mathrm{H_2S + O_2 \rightarrow H_2O + SO_2}$$

Step 2 – Atom count (unbalanced)

LeftRight
S11
H22
O23

Step 3 – Balance oxygen via LCM method
To make oxygen atoms even, try coefficient 2 in front of each product:
$$\mathrm{H_2S + O_2 \rightarrow 2H_2O + 2SO_2}$$
Now O (right) = $$2\times1 + 2\times2 = 6$$; O (left) = 2.

Put coefficient 3 before O2: $$\mathrm{H_2S + 3O_2 \rightarrow 2H_2O + 2SO_2}$$
Now O balanced (6 each).

Step 4 – Balance remaining atoms
Right: H = 4, left: H = 2 → multiply H2S by 2:
$$\mathrm{2H_2S + 3O_2 \rightarrow 2H_2O + 2SO_2}$$

Step 5 – Check

LeftRight
S22
H44
O66

The equation is balanced.

Answer

$$\mathrm{2H_2S + 3O_2 \rightarrow 2H_2O + 2SO_2}$$

(c) Barium chloride reacts with aluminium sulphate to give aluminium chloride and a precipitate of barium sulphate.

Solution

Step 1 – Skeletal equation
$$\mathrm{BaCl_2 + Al_2(SO_4)_3 \rightarrow AlCl_3 + BaSO_4}$$

Step 2 – Atom/ion count

LeftRight
Ba11
Al21
Cl23
SO42−31

Step 3 – Balance aluminium
Put coefficient 2 before AlCl3: $$\mathrm{BaCl_2 + Al_2(SO_4)_3 \rightarrow 2AlCl_3 + BaSO_4}$$

Step 4 – Balance chloride
Right Cl = $$2 \times 3 = 6$$. Left has 2; so coefficient 3 before BaCl2:
$$\mathrm{3BaCl_2 + Al_2(SO_4)_3 \rightarrow 2AlCl_3 + BaSO_4}$$
Now left Cl = 3 × 2 = 6 (balanced).

Step 5 – Balance barium and sulphate
Left Ba = 3, Right Ba = 1. Also, SO4 groups: Left 3, Right 1.
Place coefficient 3 before BaSO4: $$\mathrm{3BaCl_2 + Al_2(SO_4)_3 \rightarrow 2AlCl_3 + 3BaSO_4}$$

Step 6 – Verification

LeftRight
Ba33
Al22
Cl66
SO433

The equation is balanced.

Answer

$$\mathrm{3BaCl_2 + Al_2(SO_4)_3 \rightarrow 2AlCl_3 + 3BaSO_4}$$

(d) Potassium metal reacts with water to give potassium hydroxide and hydrogen gas.

Solution

Step 1 – Skeletal equation
$$\mathrm{K + H_2O \rightarrow KOH + H_2}$$

Step 2 – Atom count (unbalanced)

LeftRight
K11
O11
H23

Step 3 – Balance hydrogen
To make H even, put coefficient 2 before both H2O and KOH:
$$\mathrm{K + 2H_2O \rightarrow 2KOH + H_2}$$
Now atom counts: K left 1 vs right 2; fix next.

Step 4 – Balance potassium
Place coefficient 2 before K on left:
$$\mathrm{2K + 2H_2O \rightarrow 2KOH + H_2}$$

Step 5 – Check

LeftRight
K22
O22
H44

The equation is balanced.

Answer

$$\mathrm{2K + 2H_2O \rightarrow 2KOH + H_2}$$

6 Balance the following chemical equations.

(a) $$\mathrm{HNO_3 + Ca(OH)_2 \rightarrow Ca(NO_3)_2 + H_2O}$$

Solution

Step 1 – Write the skeletal equation.

$$\mathrm{HNO_3 + Ca(OH)_2 \rightarrow Ca(NO_3)_2 + H_2O}$$

Step 2 – Make an initial atom count.

Left:  H = 1 (in $$\mathrm{HNO_3}$$) + 2 (in $$\mathrm{Ca(OH)_2}$$) = 3;  O = 3 + 2 = 5.
Right:  H = 2 (in $$\mathrm{H_2O}$$);  O = 6 (in $$\mathrm{Ca(NO_3)_2}$$) + 1 (in $$\mathrm{H_2O}$$) = 7.

ElementLeftRight
Ca11
N12
O57
H32

Step 3 – Balance nitrogen.
Place coefficient 2 before $$\mathrm{HNO_3}$$.

$$\mathrm{2\,HNO_3 + Ca(OH)_2 \rightarrow Ca(NO_3)_2 + H_2O}$$

Step 4 – Re-count.

Left:  H = 2 + 2 = 4;  O = 6 + 2 = 8.
Right:  H = 2;  O = 6 + 1 = 7.

ElementLeftRight
Ca11
N22
O87
H42

Step 5 – Balance hydrogen (and, simultaneously, the remaining oxygen).
Put coefficient 2 before $$\mathrm{H_2O}$$. This adds two more H atoms and one more O atom to the right, fixing both columns at once.

$$\mathrm{2\,HNO_3 + Ca(OH)_2 \rightarrow Ca(NO_3)_2 + 2\,H_2O}$$

Step 6 – Final check.

ElementLeftRight
Ca11
N22
O88
H44

All elements match on both sides, so the equation is balanced.

Answer

$$\mathrm{2\,HNO_3 + Ca(OH)_2 \rightarrow Ca(NO_3)_2 + 2\,H_2O}$$

(b) $$\mathrm{NaOH + H_2SO_4 \rightarrow Na_2SO_4 + H_2O}$$

Solution

Step 1 – Write the skeletal equation.

$$\mathrm{NaOH + H_2SO_4 \rightarrow Na_2SO_4 + H_2O}$$

Step 2 – Atom count.

ElementLeftRight
Na12
S11
O55
H32

Step 3 – Balance sodium.
Put 2 before $$\mathrm{NaOH}$$.

$$\mathrm{2\,NaOH + H_2SO_4 \rightarrow Na_2SO_4 + H_2O}$$

Step 4 – Re-count.

ElementLeftRight
Na22
S11
O65
H42

Step 5 – Balance hydrogen and oxygen together.
Place 2 before $$\mathrm{H_2O}$$.

$$\mathrm{2\,NaOH + H_2SO_4 \rightarrow Na_2SO_4 + 2\,H_2O}$$

Step 6 – Final check. All elements now match on both sides (Na 2, S 1, O 6, H 4).

Answer

$$\mathrm{2\,NaOH + H_2SO_4 \rightarrow Na_2SO_4 + 2\,H_2O}$$

(c) $$\mathrm{NaCl + AgNO_3 \rightarrow AgCl + NaNO_3}$$

Solution

Step 1 – Write the skeletal equation.

$$\mathrm{NaCl + AgNO_3 \rightarrow AgCl + NaNO_3}$$

Step 2 – Atom count.

Element / IonLeftRight
Na11
Ag11
Cl11
N11
O33

All atoms are already equal on both sides, so no further changes are required.

Answer

$$\mathrm{NaCl + AgNO_3 \rightarrow AgCl + NaNO_3}$$

(d) $$\mathrm{BaCl_2 + H_2SO_4 \rightarrow BaSO_4 + HCl}$$

Solution

Step 1 – Write the skeletal equation.

$$\mathrm{BaCl_2 + H_2SO_4 \rightarrow BaSO_4 + HCl}$$

Step 2 – Atom count.

ElementLeftRight
Ba11
S11
O44
Cl21
H21

Step 3 – Balance chlorine and hydrogen together.
Put 2 before $$\mathrm{HCl}$$.

$$\mathrm{BaCl_2 + H_2SO_4 \rightarrow BaSO_4 + 2\,HCl}$$

Step 4 – Final check. Ba 1, S 1, O 4, Cl 2 and H 2 on each side — the equation is balanced.

Answer

$$\mathrm{BaCl_2 + H_2SO_4 \rightarrow BaSO_4 + 2\,HCl}$$

7 Write the balanced chemical equations for the following reactions.

(a) Calcium hydroxide + Carbon dioxide $$\rightarrow$$ Calcium carbonate + Water

Solution

Step 1 — Write the skeletal (un-balanced) equation.
Calcium hydroxide + Carbon dioxide → Calcium carbonate + Water
$$\mathrm{Ca(OH)_2 + CO_2 \rightarrow CaCO_3 + H_2O}$$

Step 2 — Count atoms on both sides.

ElementLeftRight
Ca11
C11
O2 (in OH) + 2 (in CO2) = 43 (in CaCO3) + 1 (in H2O) = 4
H22

Step 3 — Check balance.
The number of atoms of every element is already equal on both sides, so no coefficient adjustment is needed.

Balanced equation.
$$\mathrm{Ca(OH)_2 + CO_2 \rightarrow CaCO_3 + H_2O}$$

Answer

$$\mathrm{Ca(OH)_2 + CO_2 \rightarrow CaCO_3 + H_2O}$$

(b) Zinc + Silver nitrate $$\rightarrow$$ Zinc nitrate + Silver

Solution

Step 1 — Write the skeletal equation.
$$\mathrm{Zn + AgNO_3 \rightarrow Zn(NO_3)_2 + Ag}$$

Step 2 — Count atoms.

ElementLeftRight
Zn11
Ag11
NO312

Step 3 — Equalise the polyatomic ion $$\mathrm{NO_3^-}$$.
To make the nitrate groups the same on both sides, place coefficient 2 in front of $$\mathrm{AgNO_3}$$:

$$\mathrm{Zn + 2AgNO_3 \rightarrow Zn(NO_3)_2 + Ag}$$

Step 4 — Update the count for Ag.

ElementLeftRight
Ag21

Put the same coefficient 2 before $$\mathrm{Ag}$$ on the product side:

$$\mathrm{Zn + 2AgNO_3 \rightarrow Zn(NO_3)_2 + 2Ag}$$

Step 5 — Verify balance.

Element / IonLeftRight
Zn11
Ag22
NO322

All atoms (and polyatomic ions) are balanced.

Balanced equation.
$$\mathrm{Zn + 2AgNO_3 \rightarrow Zn(NO_3)_2 + 2Ag}$$

Answer

$$\mathrm{Zn + 2AgNO_3 \rightarrow Zn(NO_3)_2 + 2Ag}$$

(c) Aluminium + Copper chloride $$\rightarrow$$ Aluminium chloride + Copper

Solution

Step 1 — Write the skeletal equation.
$$\mathrm{Al + CuCl_2 \rightarrow AlCl_3 + Cu}$$

Step 2 — Balance chlorine.
The smallest common multiple of 2 (left) and 3 (right) is 6. Make both sides contain 6 Cl atoms.

  • Put coefficient 3 before $$\mathrm{CuCl_2}$$  →  $$3 \times 2 = 6$$ Cl.
  • Put coefficient 2 before $$\mathrm{AlCl_3}$$  →  $$2 \times 3 = 6$$ Cl.

Equation becomes:
$$\mathrm{Al + 3CuCl_2 \rightarrow 2AlCl_3 + Cu}$$

Step 3 — Balance aluminium.
Left: 1 Al, Right: 2 Al → place coefficient 2 before $$\mathrm{Al}$$:

$$\mathrm{2Al + 3CuCl_2 \rightarrow 2AlCl_3 + Cu}$$

Step 4 — Balance copper.
Left: 3 Cu, Right: 1 Cu → place coefficient 3 before $$\mathrm{Cu}$$ on product side:

$$\mathrm{2Al + 3CuCl_2 \rightarrow 2AlCl_3 + 3Cu}$$

Step 5 — Verification.

ElementLeftRight
Al22
Cu33
Cl3 × 2 = 62 × 3 = 6

All atoms are now equal.

Balanced equation.
$$\mathrm{2Al + 3CuCl_2 \rightarrow 2AlCl_3 + 3Cu}$$

Answer

$$\mathrm{2Al + 3CuCl_2 \rightarrow 2AlCl_3 + 3Cu}$$

(d) Barium chloride + Potassium sulphate $$\rightarrow$$ Barium sulphate + Potassium chloride

Solution

Step 1 — Write the skeletal equation.
$$\mathrm{BaCl_2 + K_2SO_4 \rightarrow BaSO_4 + KCl}$$

Step 2 — Count atoms/ions.

SpeciesLeftRight
Ba11
SO411
K21
Cl21

Step 3 — Balance potassium and chlorine together.
The compound $$\mathrm{KCl}$$ contains one K and one Cl; to get 2 of each, place coefficient 2 in front of $$\mathrm{KCl}$$:

$$\mathrm{BaCl_2 + K_2SO_4 \rightarrow BaSO_4 + 2KCl}$$

Step 4 — Verify.

SpeciesLeftRight
Ba11
SO411
K22
Cl22

All species are balanced.

Balanced equation.
$$\mathrm{BaCl_2 + K_2SO_4 \rightarrow BaSO_4 + 2KCl}$$

Answer

$$\mathrm{BaCl_2 + K_2SO_4 \rightarrow BaSO_4 + 2KCl}$$

8 Write the balanced chemical equation for the following and identify the type of reaction in each case.

(a) Potassium bromide(aq) + Barium iodide(aq) $$\rightarrow$$ Potassium iodide(aq) + Barium bromide(s)

Solution

Step 1 – Skeletal equation
$$\mathrm{KBr ext{(aq)} + BaI_2 ext{(aq)} \rightarrow KI ext{(aq)} + BaBr_2 ext{(s)}}$$

Step 2 – Atom count

ElementLeftRight
K11
Br12
Ba11
I21

Step 3 – Balance Br and I
Put coefficient 2 in front of $$\mathrm{KBr}$$ and $$\mathrm{KI}:$$
$$\mathrm{2\,KBr + BaI_2 \rightarrow 2\,KI + BaBr_2}$$

Check

ElementLeftRight
K22
Br22
Ba11
I22

All atoms balance.

Balanced equation
$$\mathrm{2\,KBr ext{(aq)} + BaI_2 ext{(aq)} \rightarrow 2\,KI ext{(aq)} + BaBr_2 ext{(s)}}$$

Type of reaction: Double displacement (precipitation) reaction because the ions exchange partners and insoluble $$\mathrm{BaBr_2}$$ precipitates.

Answer

$$\mathrm{2\,KBr(aq) + BaI_2(aq) \rightarrow 2\,KI(aq) + BaBr_2(s)}$$
Double-displacement (precipitation) reaction.

(b) Zinc carbonate(s) $$\rightarrow$$ Zinc oxide(s) + Carbon dioxide(g)

Solution

Step 1 – Skeletal equation
$$\mathrm{ZnCO_3\text{(s)} \rightarrow ZnO\text{(s)} + CO_2\text{(g)}}$$

Step 2 – Atom count

ElementLeftRight
Zn11
C11
O33 (2 in $$\mathrm{CO_2}$$ +1 in $$\mathrm{ZnO}$$)

Every element already balances, so no coefficients are required.

Balanced equation
$$\mathrm{ZnCO_3\text{(s)} \rightarrow ZnO\text{(s)} + CO_2\text{(g)}}$$

Type of reaction: Thermal decomposition reaction (a single compound breaks into two simpler substances upon heating).

Answer

$$\mathrm{ZnCO_3(s) \rightarrow ZnO(s) + CO_2(g)}$$
Decomposition reaction.

(c) Hydrogen(g) + Chlorine(g) $$\rightarrow$$ Hydrogen chloride(g)

Solution

Step 1 – Skeletal equation
$$\mathrm{H_2\text{(g)} + Cl_2\text{(g)} \rightarrow HCl\text{(g)}}$$

Step 2 – Atom count

ElementLeftRight (unbalanced)
H21
Cl21

Step 3 – Balance by putting 2 in front of $$\mathrm{HCl}$$
$$\mathrm{H_2 + Cl_2 \rightarrow 2\,HCl}$$

Check

ElementLeftRight
H22
Cl22

Balanced equation
$$\mathrm{H_2\text{(g)} + Cl_2\text{(g)} \rightarrow 2\,HCl\text{(g)}}$$

Type of reaction: Combination (synthesis) reaction since two elements combine to form a single compound.

Answer

$$\mathrm{H_2(g) + Cl_2(g) \rightarrow 2\,HCl(g)}$$
Combination reaction.

(d) Magnesium(s) + Hydrochloric acid(aq) $$\rightarrow$$ Magnesium chloride(aq) + Hydrogen(g)

Solution

Step 1 – Skeletal equation
$$\mathrm{Mg\text{(s)} + HCl\text{(aq)} \rightarrow MgCl_2\text{(aq)} + H_2\text{(g)}}$$

Step 2 – Atom count (unbalanced)

ElementLeftRight
Mg11
Cl12
H12

Step 3 – Balance Cl and H
Place coefficient 2 in front of $$\mathrm{HCl}:$$
$$\mathrm{Mg + 2\,HCl \rightarrow MgCl_2 + H_2}$$

Check

ElementLeftRight
Mg11
Cl22
H22

Balanced equation
$$\mathrm{Mg\text{(s)} + 2\,HCl\text{(aq)} \rightarrow MgCl_2\text{(aq)} + H_2\text{(g)}}$$

Type of reaction: Single displacement reaction; magnesium displaces hydrogen from hydrochloric acid.

Answer

$$\mathrm{Mg(s) + 2\,HCl(aq) \rightarrow MgCl_2(aq) + H_2(g)}$$
Single-displacement reaction.

9 What does one mean by exothermic and endothermic reactions? Give examples.

Solution

During a chemical reaction the energy stored in the bonds of the reacting substances (reactants) is rearranged to form the products. The accompanying heat change is expressed by the enthalpy change $$\Delta H$$.

1. Exothermic reactions

  • Meaning : Heat is released to the surroundings; therefore $$\Delta H < 0$$.
  • Energy profile : (draw reactants at a higher energy level than products; the vertical drop shows “heat released”).
  • Illustrative equations
    • Combustion of carbon:
      $$\mathrm{C + O_2 \rightarrow CO_2 + 393.5\,kJ}$$
    • Slaking of lime:
      $$\mathrm{CaO + H_2O \rightarrow Ca(OH)_2 + 65.2\,kJ}$$

2. Endothermic reactions

  • Meaning : Heat is absorbed from the surroundings; therefore $$\Delta H > 0$$.
  • Energy profile : (draw reactants lower than products; the vertical rise shows “heat absorbed”).
  • Illustrative equations
    • Formation of nitric oxide:
      $$\mathrm{N_2 + O_2 + 180.5\,kJ \rightarrow 2NO}$$
    • Thermal decomposition of limestone:
      $$\mathrm{CaCO_3 + 178\,kJ \rightarrow CaO + CO_2}$$

Hence : Exothermic reactions liberate heat ($$\Delta H < 0$$) while endothermic reactions absorb heat ($$\Delta H > 0$$).

Answer

Exothermic reaction : heat-releasing ($$\Delta H < 0$$); example – $$\mathrm{C + O_2 \rightarrow CO_2 + energy}$$.
Endothermic reaction : heat-absorbing ($$\Delta H > 0$$); example – $$\mathrm{CaCO_3 \rightarrow CaO + CO_2}$$ (on heating).

10 Why is respiration considered an exothermic reaction? Explain.

Solution

Step 1 – Recall the definition of an exothermic reaction
A chemical reaction in which energy is released to the surroundings, usually in the form of heat, is called an exothermic reaction. In such reactions the enthalpy (heat content) of the products is less than that of the reactants, so $$\Delta H < 0$$.

Step 2 – Write the overall chemical equation for respiration
During respiration the simple sugar glucose, $$\mathrm{C_6H_{12}O_6}$$, reacts with oxygen taken in from the air and is converted to carbon dioxide and water:

$$\mathrm{C_6H_{12}O_6 + 6\,O_2 \;\longrightarrow\; 6\,CO_2 + 6\,H_2O}$$

Step 3 – Show that energy is produced
Measurements in the laboratory give the enthalpy change for this reaction approximately as

$$\Delta H \approx -2800\,\text{kJ\,mol}^{-1}$$

The negative sign means that about $$2800\,\text{kJ}$$ of heat is released when one mole (180 g) of glucose is oxidised. This heat maintains the body temperature of warm-blooded organisms and supplies energy for all life processes such as muscle contraction, protein synthesis, active transport, etc.

Step 4 – Relate the heat release to the definition
Because the oxidation of glucose gives out a large amount of energy to the surroundings and has $$\Delta H<0$$, it satisfies the definition of an exothermic reaction.

Therefore respiration is regarded as an exothermic chemical reaction.

Answer

Respiration releases heat because, when glucose reacts with oxygen, $$\mathrm{C_6H_{12}O_6 + 6\,O_2 \rightarrow 6\,CO_2 + 6\,H_2O}$$, about $$2800\,\text{kJ}$$ of energy per mole of glucose is given out ($$\Delta H<0$$). Hence respiration is an exothermic reaction.

11 Why are decomposition reactions called the opposite of combination reactions? Write equations for these reactions.

Solution

Step 1 ‒ Recall the two reaction types

  • Combination reaction: two (or more) simple substances react to give one single product.
  • Decomposition reaction: one single compound breaks down to give two (or more) simpler substances.

Step 2 ‒ Explain why they are opposites

In a combination reaction the number of chemical species decreases (many → one), whereas in a decomposition reaction the number of chemical species increases (one → many). Thus the direction of chemical change is exactly reversed, so decomposition reactions are called the opposite of combination reactions.

Step 3 ‒ Illustrate with paired equations

Reaction typeWord equationChemical equation (balanced)
CombinationHydrogen + Oxygen → Water$$2\mathrm{H_2}+\mathrm{O_2}\;\longrightarrow\;2\mathrm{H_2O}$$
Decomposition (opposite of the above)Water → Hydrogen + Oxygen$$2\mathrm{H_2O}\;\xrightarrow{\text{electricity}}\;2\mathrm{H_2}+\mathrm{O_2}$$

Because the second equation regenerates exactly the reactants consumed in the first, it shows clearly that decomposition is the reverse — the “opposite” — of combination.

Answer

In a combination reaction many reactants form one product, whereas in a decomposition reaction one reactant splits into many products; hence they are exact opposites.
Example pair: $$2\mathrm{H_2}+\mathrm{O_2}\rightarrow2\mathrm{H_2O}$$ (combination) and $$2\mathrm{H_2O}\xrightarrow{\text{electricity}}2\mathrm{H_2}+\mathrm{O_2}$$ (decomposition).

12 Write one equation each for decomposition reactions where energy is supplied in the form of heat, light or electricity.

Solution

In a decomposition reaction a single compound splits into two or more simpler substances. The energy needed for this splitting may be supplied in different forms, for example heat (thermal decomposition), light (photochemical decomposition) or electricity (electrolytic decomposition). Below we write one balanced chemical equation for each case.

  1. Decomposition by heat (thermal decomposition)
    When calcium carbonate is strongly heated it decomposes into calcium oxide and carbon dioxide:
    $$\mathrm{CaCO_3\,(s)} \xrightarrow{\;\Delta\;} \mathrm{CaO\,(s)} + \mathrm{CO_2\,(g)}$$
  2. Decomposition by light (photolysis)
    White silver chloride turns grey in sunlight because it breaks up into silver metal and chlorine gas:
    $$\mathrm{2AgCl\,(s)} \xrightarrow{\;\text{sunlight}\;} 2\mathrm{Ag\,(s)} + \mathrm{Cl_2\,(g)}$$
  3. Decomposition by electricity (electrolysis)
    Passing electric current through water acidified with a small amount of $$\mathrm{H_2SO_4}$$ splits it into hydrogen and oxygen gases:
    $$\mathrm{2H_2O\,(l)} \xrightarrow{\;\text{electricity}\;} 2\mathrm{H_2\,(g)} + \mathrm{O_2\,(g)}$$

Answer

Heat : $$\mathrm{CaCO_3}\;\rightarrow\;\mathrm{CaO}+\mathrm{CO_2}$$
Light : $$\mathrm{2AgCl}\;\rightarrow\;2\mathrm{Ag}+\mathrm{Cl_2}$$
Electricity : $$\mathrm{2H_2O}\;\rightarrow\;2\mathrm{H_2}+\mathrm{O_2}$$

13 What is the difference between displacement and double displacement reactions? Write equations for these reactions.

Solution

Step 1 – Recall the meaning of a chemical reaction
Whenever two or more substances interact to form new substance(s) with different properties, we say a chemical reaction has taken place. The skeletal chemical equation is then balanced to respect the Law of Conservation of Mass.

Step 2 – Define a displacement reaction
In a displacement reaction a more reactive free element pushes (displaces) another element out of a compound.
General form (one element + one compound): $$\mathrm{A + BC \;\rightarrow\; AC + B}$$ where $$\mathrm{A}$$ is more reactive than $$\mathrm{B}$$.

Worked example 1
Replace copper from copper(II) sulphate solution using iron filings.

  • Write the reactants: $$\mathrm{Fe}$$ (iron) and $$\mathrm{CuSO_4}$$ (copper sulphate).
  • Predict products: iron will take the place of copper, giving $$\mathrm{FeSO_4}$$ and free copper.
  • Balanced equation: $$\mathrm{Fe + CuSO_4 \;\rightarrow\; FeSO_4 + Cu}$$.

Worked example 2
Zinc metal put into hydrochloric-acid solution:

  • General idea: zinc is more reactive than hydrogen, so it displaces hydrogen from $$\mathrm{HCl}$$.
  • Balanced equation: $$\mathrm{Zn + 2HCl \;\rightarrow\; ZnCl_2 + H_2 \uparrow}$$.

Step 3 – Define a double-displacement reaction
In a double displacement reaction (also called a double decomposition reaction) two ionic compounds in solution exchange their positive and negative ions with each other.
General form (compound + compound): $$\mathrm{AB + CD \;\rightarrow\; AD + CB}$$.

Worked example 3 – precipitation type

  • Reactants: aqueous sodium sulphate and aqueous barium chloride.
  • Ions exchanged: $$\mathrm{Na^+}$$ exchanges with $$\mathrm{Ba^{2+}}$$, $$\mathrm{SO_4^{2-}}$$ exchanges with $$\mathrm{Cl^-}$$.
  • Balanced equation: $$\mathrm{Na_2SO_4(aq) + BaCl_2(aq) \;\rightarrow\; BaSO_4(s) \downarrow + 2NaCl(aq)}$$ (white precipitate of $$\mathrm{BaSO_4}$$).

Worked example 4 – neutralisation type

  • Reactants: aqueous hydrochloric acid and aqueous sodium hydroxide.
  • Balanced equation: $$\mathrm{HCl(aq) + NaOH(aq) \;\rightarrow\; NaCl(aq) + H_2O(l)}$$.

Step 4 – Tabulate the differences for quick revision

FeatureDisplacement reactionDouble displacement reaction
Number of compounds taking partOne compound + one free elementGenerally two compounds
Species displacedOnly one element is replacedTwo ions are mutually exchanged
General form$$\mathrm{A + BC \rightarrow AC + B}$$$$\mathrm{AB + CD \rightarrow AD + CB}$$
Typical driving forceRelative reactivity of metals/non-metalsFormation of precipitate, gas or weak electrolyte such as water

Step 5 – State the final answer
A displacement reaction involves the replacement of one element by a more reactive element, whereas a double displacement reaction involves mutual exchange of ions between two compounds. Representative balanced equations are:

  • Displacement: $$\mathrm{Fe + CuSO_4 \;\rightarrow\; FeSO_4 + Cu}$$
  • Double displacement: $$\mathrm{Na_2SO_4 + BaCl_2 \;\rightarrow\; BaSO_4 \downarrow + 2NaCl}$$

Answer

Displacement: one element (more reactive) replaces another in a compound, e.g. $$\mathrm{Fe + CuSO_4 \;\rightarrow\; FeSO_4 + Cu}$$.
Double displacement: two compounds exchange ions, e.g. $$\mathrm{Na_2SO_4 + BaCl_2 \;\rightarrow\; BaSO_4 \downarrow + 2NaCl}$$.

14 In the refining of silver, the recovery of silver from silver nitrate solution involved displacement by copper metal. Write down the reaction involved.

Solution

The question asks for the balanced chemical equation that represents the recovery of silver metal (Ag) from an aqueous solution of silver nitrate (AgNO3) when copper metal (Cu) is introduced.

Step 1 ─ Identify the type of reaction
Copper is placed above silver in the reactivity series of metals, so metallic copper can displace silver from its salt solution. This is a single-displacement (substitution) reaction.

Step 2 ─ Write the word equation
Copper + Silver nitrate → Copper(II) nitrate + Silver

Step 3 ─ Convert to chemical formulas
Cu + AgNO3 → Cu(NO3)2 + Ag

Step 4 ─ Balance the equation

  • Count atoms on both sides. Initially: left – 1 Cu, 1 Ag, 1 NO3; right – 1 Cu, 1 Ag, 2 NO3.
  • There are two nitrate ions on the right but only one on the left. Multiply AgNO3 by 2.

$$\mathrm{Cu + 2AgNO_3 \rightarrow Cu(NO_3)_2 + 2Ag}$$

Re-check atom balance: Cu (1 = 1), Ag (2 = 2), NO3 (2 = 2). The equation is now balanced.

Conclusion
The balanced chemical equation for the recovery of silver from silver nitrate solution using copper is:
$$\mathrm{2AgNO_3(aq) + Cu(s) \rightarrow Cu(NO_3)_2(aq) + 2Ag(s)}$$

Answer

$$\mathrm{2AgNO_3(aq) + Cu(s) \rightarrow Cu(NO_3)_2(aq) + 2Ag(s)}$$

15 What do you mean by a precipitation reaction? Explain by giving examples.

Solution

Definition of a precipitation reaction

A precipitation reaction is a type of chemical reaction that occurs in aqueous solution in which two soluble salts (or a salt and an acid/base) react to form one product that is insoluble in water. The insoluble product separates out of the mixture as a solid called a precipitate. The appearance of this solid (often observed as cloudiness or settled solid) is the visual evidence that a precipitation reaction has taken place.

In symbolic form we can write (aq = aqueous, s = solid):
$$\text{Soluble salt}_1\,(\text{aq}) + \text{Soluble salt}_2\,(\text{aq}) \;\longrightarrow\; \text{Insoluble solid (precipitate)}\,(s) + \text{(possible) soluble salt}\,(\text{aq})$$

Why the precipitate forms

When the ions from the two solutions are brought together, they may combine to give a compound whose solubility in water is very low (its solubility product is exceeded). As soon as the ionic product exceeds this low limit, the excess compound comes out of solution as a solid.

Illustrative examples

  1. Reaction of sodium sulphate with barium chloride

    $$\mathrm{Na_2SO_4\,(aq)} + \mathrm{BaCl_2\,(aq)} \;\longrightarrow\; \mathrm{BaSO_4\,(s)} \downarrow + \; 2\,\mathrm{NaCl\,(aq)}$$

    • Both $$\mathrm{Na_2SO_4}$$ and $$\mathrm{BaCl_2}$$ are highly soluble in water.
    • $$\mathrm{BaSO_4}$$ is almost completely insoluble, so it precipitates as a dense white solid.
    • The downward arrow (↓) is used to indicate the precipitate.

  2. Reaction of lead(II) nitrate with potassium iodide

    $$\mathrm{Pb(NO_3)_2\,(aq)} + 2\,\mathrm{KI\,(aq)} \;\longrightarrow\; \mathrm{PbI_2\,(s)} \downarrow + 2\,\mathrm{KNO_3\,(aq)}$$

    • $$\mathrm{PbI_2}$$ is insoluble and separates as a bright yellow precipitate.
    • $$\mathrm{KNO_3}$$ remains in solution because it is soluble.

Key observations that confirm a precipitation reaction

  • Sudden appearance of turbidity (cloudiness) in the reaction mixture.
  • Formation of a coloured or white solid that eventually settles at the bottom of the container.
  • No gas bubbles or large temperature change by themselves; the main evidence is the solid.

This is what is meant by a precipitation reaction, accompanied by two typical examples that Class 10 students commonly perform in the laboratory.

Answer

A precipitation reaction is one in which two aqueous solutions react to form an insoluble solid (precipitate) that separates from the solution.

Examples:
1. $$\mathrm{Na_2SO_4\,(aq)} + \mathrm{BaCl_2\,(aq)} \to \mathrm{BaSO_4\,(s)} \downarrow + 2\,\mathrm{NaCl\,(aq)}$$ (white precipitate of $$\mathrm{BaSO_4}$$)
2. $$\mathrm{Pb(NO_3)_2\,(aq)} + 2\,\mathrm{KI\,(aq)} \to \mathrm{PbI_2\,(s)} \downarrow + 2\,\mathrm{KNO_3\,(aq)}$$ (yellow precipitate of $$\mathrm{PbI_2}$$)

16 Explain the following in terms of gain or loss of oxygen with two examples each.

(a) Oxidation

Solution

Definition in terms of oxygen

Oxidation is the gain of oxygen by an element or compound during a chemical reaction.

Why it is called “gain of oxygen”

  • When an atom or ion combines with oxygen, its oxidation state increases.
  • The substance that gains oxygen is said to be oxidised.

Example 1 – Burning of magnesium ribbon

Reaction:  $$\mathrm{2Mg + O_2 \rightarrow 2MgO}$$

  • Reactant side:  $$\mathrm{Mg}$$ contains no oxygen.
  • Product side:  $$\mathrm{MgO}$$ contains oxygen.
  • Thus each $$\mathrm{Mg}$$ atom gains an oxygen atom → magnesium is oxidised to $$\mathrm{Mg^{2+}}$$ in $$\mathrm{MgO}$$.

Example 2 – Formation of copper(II) oxide

Reaction:  $$\mathrm{2Cu + O_2 \rightarrow 2CuO}$$

  • Reactant side:  copper metal has no oxygen attached.
  • Product side:  each $$\mathrm{Cu}$$ atom is now bonded to an oxygen atom.
  • The copper therefore gains oxygen and is oxidised to $$\mathrm{Cu^{2+}}$$ in $$\mathrm{CuO}$$.

Hence, in both reactions the substance that gains oxygen (Mg or Cu) undergoes oxidation.

Answer

(a) Oxidation = gain of oxygen.
Examples: $$\mathrm{2Mg + O_2 \rightarrow 2MgO}$$ ; $$\mathrm{2Cu + O_2 \rightarrow 2CuO}$$.

(b) Reduction

Solution

Definition in terms of oxygen

Reduction is the loss of oxygen from an element or compound during a chemical reaction.

Why it is called “loss of oxygen”

  • When a substance releases oxygen atoms, its oxidation state decreases.
  • The substance that loses oxygen is said to be reduced.

Example 1 – Reduction of copper(II) oxide by hydrogen

Reaction:  $$\mathrm{CuO + H_2 \rightarrow Cu + H_2O}$$

  • Reactant side:  $$\mathrm{CuO}$$ contains oxygen.
  • Product side:  metallic $$\mathrm{Cu}$$ is free from oxygen.
  • Hence $$\mathrm{CuO}$$ loses oxygen → copper(II) oxide is reduced.

Example 2 – Reduction of iron(III) oxide in the blast furnace

Reaction:  $$\mathrm{Fe_2O_3 + 3CO \rightarrow 2Fe + 3CO_2}$$

  • Reactant side:  $$\mathrm{Fe_2O_3}$$ possesses oxygen.
  • Product side:  free $$\mathrm{Fe}$$ metal has lost that oxygen.
  • Therefore $$\mathrm{Fe_2O_3}$$ is reduced to $$\mathrm{Fe}$$ by losing oxygen.

Thus, reduction is identified by the removal of oxygen from the reacting species.

Answer

(b) Reduction = loss of oxygen.
Examples: $$\mathrm{CuO + H_2 \rightarrow Cu + H_2O}$$ ; $$\mathrm{Fe_2O_3 + 3CO \rightarrow 2Fe + 3CO_2}$$.

17 A shiny brown coloured element 'X' on heating in air becomes black in colour. Name the element 'X' and the black coloured compound formed.

Solution

When the shiny brown metal is heated in air, it reacts with the oxygen present in the atmosphere and a black layer is deposited on its surface.

Step 1 – Identify the brown metal
Among the common metals of Class 10 syllabus, copper is distinctly brown and lustrous. Hence element $$X$$ is copper.

Step 2 – Write the reaction with oxygen
Copper combines with oxygen on heating to give copper(II) oxide, which is black in colour:

$$\mathrm{2Cu\,(s) + O_2\,(g) \;\xrightarrow{\;heat\;} 2CuO\,(s)}$$

Step 3 – Identify the black solid
The product $$\mathrm{CuO}$$ (copper(II) oxide) is a black solid that coats the surface of the metal.

Therefore,

  • Element $$X$$  :  Copper (Cu)
  • Black compound formed  :  Copper(II) oxide, $$\mathrm{CuO}$$

Answer

Element $$X$$ is copper (Cu) and the black compound formed is copper(II) oxide, $$\mathrm{CuO}$$.

18 Why do we apply paint on iron articles?

Solution

Iron objects lying in the open are exposed to the gases present in air and also to the water vapour always present in the atmosphere.

When iron $$\mathrm{(Fe)}$$ comes in contact with moist air it undergoes a slow chemical reaction called rusting (a type of corrosion):

$$4\mathrm{Fe}+3\mathrm{O_2}+x\mathrm{H_2O}\;\longrightarrow\;2\mathrm{Fe_2O_3}\cdot x\mathrm{H_2O}$$

The reddish–brown flaky substance $$\mathrm{Fe_2O_3}\cdot x\mathrm{H_2O}$$ is called rust. Rusting weakens the article and finally destroys it.

Paint is a non-reactive, water-repelling layer. When we coat an iron article with paint, the paint layer:

  • cuts off direct contact between iron and atmospheric oxygen,
  • prevents water vapour from reaching the metal surface.

Because both $$\mathrm{O_2}$$ and $$\mathrm{H_2O}$$ are necessary for the above rusting reaction, blocking either of them effectively stops the reaction. Thus the painted coating protects iron from corrosion and prolongs the life of the article.

Answer

Paint forms an air- and moisture-proof coat around the metal, so oxygen and water vapour cannot reach the iron; therefore rusting (corrosion) is prevented.

19 Oil and fat containing food items are flushed with nitrogen. Why?

Solution

Food items such as potato chips, biscuits, fried snacks and other preparations rich in oils or fats can spoil when they stand in contact with the oxygen present in air.

Step 1 – Recall what happens to oils/fats in air
Oils and fats are made up of long-chain hydrocarbons that are easily oxidised. In ordinary air, the reaction proceeds slowly:

$$\mathrm{Oil\;/\;fat + O_2 \longrightarrow\; oxidised\; products}$$

These oxidised products are usually aldehydes, ketones and short-chain organic acids that have an unpleasant smell and taste. The slow oxidation that spoils oils and fats is called rancidity.

Step 2 – How can we slow or stop oxidation?
We need to remove or drastically reduce the amount of the reactant oxygen around the food. One practical way is to fill ("flush") the packet with a gas that is

  • chemically inert (does not react with the food), and
  • readily available and inexpensive.

Step 3 – Why nitrogen?
Nitrogen, $$\mathrm{N_2}$$, fulfils both conditions:

  • It is highly unreactive under ordinary conditions because of its strong $$\mathrm{N \equiv N}$$ triple bond.
  • It makes up about 78 % of the atmosphere, so it is easy and cheap to obtain.

When a packet is flushed with nitrogen, the oxygen concentration inside becomes so low that the oxidation of fats slows to a negligible rate, thereby preventing rancidity and extending the shelf life of the food.

Conclusion
Oil- and fat-containing food items are flushed with nitrogen to displace oxygen, thus preventing the oxidation (rancidity) of the fats and keeping the food fresh for a longer time.

Answer

Nitrogen is an inert gas that drives out the oxygen in the packet; without oxygen the oils and fats in the food cannot oxidise and turn rancid, so the food stays fresh longer.

20 Explain the following terms with one example each.

(a) Corrosion

Solution

Definition
Corrosion is the slow, gradual deterioration of a metal when it reacts chemically with substances present in its surroundings, such as moisture, air (oxygen), acids, salts, etc. The metal is converted into its more stable compound (oxide, carbonate, sulphide, etc.), leading to loss of the metallic surface and weakening of the article.

Explanation of the process (rusting as the common case)
The most familiar example is the rusting of iron. In the presence of air and water, iron is oxidised to hydrated iron(III) oxide (rust). A simplified overall equation for rusting is

$$\mathrm{4Fe + 3O_2 + 2H_2O \rightarrow 2Fe_2O_3\cdot H_2O}$$

Because the oxides are porous and flaky, they do not protect the underlying metal, so the attack continues until the whole piece is damaged.

Example to quote
Iron railings, bridges, ships, or tools develop a reddish-brown flaky layer of rust after prolonged exposure to moist air.

Preventive ideas that students usually recall (painting, galvanising, oiling, alloying, etc.) arise from the need to stop contact with oxygen/moisture.

Answer

Corrosion: The slow conversion of a metal into its compounds by attack of air, moisture, acids, etc. Example — rusting of iron, $$\mathrm{4Fe + 3O_2 + 2H_2O \rightarrow 2Fe_2O_3\cdot H_2O}$$.

(b) Rancidity

Solution

Definition
Rancidity is the chemical spoilage of oils or fats when they are oxidised (or sometimes hydrolysed), producing substances with unpleasant odour and taste. The food becomes unfit for consumption.

What happens chemically?
Unsaturated fatty acids present in oils react with oxygen in the air, forming peroxides and smaller volatile aldehydes/ketones that smell bad. A simplified representation is

$$\mathrm{RCH=CHR'\ (in\ oil) + O_2 \rightarrow ROOH\ (peroxide) \rightarrow\ small\ aldehydes/ketones}$$

Example to quote
Groundnut oil or butter left open for a few days in a warm, moist atmosphere turns sour and gives a bad smell; this is rancidity.

Common prevention methods (although not required to define the term): keeping food in airtight containers, flushing packets with nitrogen, refrigeration, adding antioxidants like BHA or vitamin E, etc.

Answer

Rancidity: The spoiling of oily or fatty foods due to oxidation of their fats, giving an unpleasant smell and taste. Example — butter or groundnut oil left exposed to air develops a bad odour because its fats get oxidised.

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