Join WhatsApp Icon JEE WhatsApp Group
Question 34

Class XII students were asked to prepare one litre of buffer solution of pH $$8.26$$ by their chemistry teacher. The amount of ammonium chloride to be dissolved by the student in $$0.2M$$ ammonia solution to make one litre of the buffer is (Given $$pK_b(NH_3) = 4.74$$; Molar mass of $$NH_3 = 17 \text{ g mol}^{-1}$$. Molar mass of $$NH_4Cl = 53.5 \text{ g mol}^{-1}$$)

We have a buffer solution of pH = 8.26 prepared from ammonia of concentration 0.2 M, given that $$pK_b(NH_3) = 4.74$$ and the molar mass of $$NH_4Cl$$ is $$53.5\text{ g/mol}$$.

Since $$pOH = 14 - pH$$, we find $$pOH = 14 - 8.26 = 5.74$$.

Applying the Henderson‐Hasselbalch equation for a basic buffer, $$pOH = pK_b + \log\frac{[\text{salt}]}{[\text{base}]}$$, gives $$5.74 = 4.74 + \log\frac{[NH_4Cl]}{0.2}$$.

Solving for the ratio yields $$\log\frac{[NH_4Cl]}{0.2} = 1$$, so $$\frac{[NH_4Cl]}{0.2} = 10$$ and therefore $$[NH_4Cl] = 2\text{ M}$$.

Since the required volume is 1 L, the mass of $$NH_4Cl$$ needed is $$\text{Mass} = [NH_4Cl] \times V \times M = 2 \times 1 \times 53.5 = 107\text{ g}$$.

Therefore, the amount of ammonium chloride required is $$107\text{ g}$$. The correct answer is Option C.

Get AI Help

Video Solution

video

Create a FREE account and get:

  • Free JEE Mains Previous Papers PDF
  • Take JEE Mains paper tests

JEE Quant Questions | JEE Quantitative Ability

JEE DILR Questions | LRDI Questions For JEE

JEE Verbal Ability Questions | VARC Questions For JEE

Free JEE Topicwise Questions

JEE Rotational MotionJEE Units & MeasurementsJEE Atomic StructureJEE GravitationJEE Periodic Table & PeriodicityJEE StatisticsJEE Inverse Trigonometric FunctionsJEE Magnetism & Magnetic MaterialsJEE Sequences & SeriesJEE MatricesJEE Alternating CurrentsJEE Carboxylic AcidsJEE Permutations & CombinationsJEE Work, Energy & PowerJEE Electromagnetic InductionJEE Electronic DevicesJEE d and f-Block ElementsJEE Chemical KineticsJEE Heat TransferJEE Three Dimensional GeometryJEE Magnetic Effects of CurrentJEE Hydrocarbons - AromaticJEE Electromagnetic WavesJEE Aldehydes & KetonesJEE Hydrocarbons - AlkanesJEE Applications of DerivativesJEE EquilibriumJEE Indefinite IntegrationJEE Chemical ThermodynamicsJEE ElectrochemistryJEE ProbabilityJEE BiomoleculesJEE Continuity & DifferentiabilityJEE Kinetic Theory of GasesJEE Vector AlgebraJEE Hydrocarbons - AlkynesJEE Differential EquationsJEE Current & ResistanceJEE Straight LinesJEE WavesJEE Redox ReactionsJEE Hydrocarbons - AlkenesJEE DeterminantsJEE SolutionsJEE Ray OpticsJEE Dual Nature of Matter & RadiationJEE Chemical Bonding & Molecular StructureJEE Complex NumbersJEE Sets, Relations & FunctionsJEE Electric Charges & FieldsJEE Laws of MotionJEE Fluid MechanicsJEE Basic Concepts in ChemistryJEE Trigonometric FunctionsJEE LimitsJEE Laws of ThermodynamicsJEE Kinematics - 2D MotionJEE p-Block Elements (Groups 13-18)JEE Simple Harmonic MotionJEE Electric Potential & CapacitanceJEE Coordination CompoundsJEE JEE 2D GeometryJEE CirclesJEE Definite IntegrationJEE EMF & Circuit AnalysisJEE Surface TensionJEE Atoms & NucleiJEE Laboratory Experiments - XIJEE Number SystemJEE Basic Principles of Organic ChemistryJEE Wave OpticsJEE Quadratic EquationsJEE Alcohols, Phenols & EthersJEE Organic Compounds with HalogensJEE DifferentiationJEE Conic SectionsJEE Nitrogen-Containing CompoundsJEE ElasticityJEE Practical Organic ChemistryJEE Kinematics - 1D MotionJEE Purification & CharacterisationJEE Binomial Theorem
Ask AI