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NTA JEE Main 25th July 2022 Shift 2 - Chemistry

For the following questions answer them individually

$$K_{a1}$$, $$K_{a2}$$ and $$K_{a3}$$ are the respective ionization constants for the following reactions (a), (b) and (c).
(a) $$H_2C_2O_4 \rightleftharpoons H^+ + HC_2O_4^-$$
(b) $$HC_2O_4^- \rightleftharpoons H^+ + C_2O_4^{2-}$$
(c) $$H_2C_2O_4 \rightleftharpoons 2H^+ + C_2O_4^{2-}$$
The relationship between $$K_{a1}$$, $$K_{a2}$$ and $$K_{a3}$$ is given as

Two solutions A and B are prepared by dissolving $$1 \text{ g}$$ of non-volatile solutes X and Y respectively in $$1 \text{ kg}$$ of water. The ratio of depression in freezing points for A and B is found to be $$1:4$$. The ratio of molar masses of X and Y is

The molar conductivity of a conductivity cell filled with $$10$$ moles of $$20 \text{ mL NaCl}$$ solution is $$\Lambda_{m1}$$ and that of $$20$$ moles of another identical cell having $$80 \text{ mL NaCl}$$ solution is $$\Lambda_{m2}$$. The conductivities exhibited by these two cells are same. The relationship between $$\Lambda_{m2}$$ and $$\Lambda_{m1}$$ is

For micelle formation, which of the following statements are correct?
(A) Micelle formation is an exothermic process.
(B) Micelle formation is an endothermic process.
(C) The entropy change is positive.
(D) The entropy change is negative.

Given below are two statements.
Statement I: Pig iron is obtained by heating cast iron with scrap iron.
Statement II: Pig iron has a relatively lower carbon content than that of cast iron.
In the light of the above statements, choose the correct answer from the options given below.

$$56.0 \text{ L}$$ of nitrogen gas is mixed with excess of hydrogen gas and it is found that $$20 \text{ L}$$ of ammonia gas is produced. The volume of unused nitrogen gas is found to be ______ L.

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A sealed flask with a capacity of $$2 \text{ dm}^3$$ contains $$11 \text{ g}$$ of propane gas. The flask is so weak that it will burst if the pressure becomes $$2 \text{ MPa}$$. The minimum temperature at which the flask will burst is ______ °C. [Nearest integer]
(Given: $$R = 8.3 \text{ J K}^{-1} \text{ mol}^{-1}$$. Atomic masses of C and H are $$12u$$ and $$1u$$ respectively.) (Assume that propane behaves as an ideal gas.)

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While performing a thermodynamics experiment, a student made the following observations:
$$HCl + NaOH \rightarrow NaCl + H_2O \quad \Delta H = -57.3 \text{ kJ mol}^{-1}$$
$$CH_3COOH + NaOH \rightarrow CH_3COONa + H_2O \quad \Delta H = -55.3 \text{ kJ mol}^{-1}$$
The enthalpy of ionization of $$CH_3COOH$$ as calculated by the student is ______ $$\text{kJ mol}^{-1}$$.

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The separation of two coloured substances was done by paper chromatography. The distances travelled by solvent front, substance A and substance B from the base line are $$3.25 \text{ cm}$$, $$2.08 \text{ cm}$$ and $$1.05 \text{ cm}$$ respectively. The ratio of $$R_f$$ values of A to B is ______ (Answer the nearest integer).

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The spin-only magnetic moment value of $$M^{3+}$$ ion (in gaseous state) from the pairs $$Cr^{3+}/Cr^{2+}$$, $$Mn^{3+}/Mn^{2+}$$, $$Fe^{3+}/Fe^{2+}$$ and $$Co^{3+}/Co^{2+}$$ that has negative standard electrode potential, is ______ B.M.

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