A solution of H 2SO 4 is 31.4\% H 2SO 4 by mass and has a density of 1.25\ g\ mL -1 . The molarity of the H 2SO 4 solution is \ \ \ \ \ M (nearest integer). [Given: molar mass of H 2SO 4 = 98\ g\ mol -1 ]

Chemistry · Some Basic Concepts of Chemistry (Mole Concept) + Stoichiometry

JEE Main 2024 — 29 January, Shift 1 — Question 77

A solution of $\mathrm{H_2SO_4}$ is $31.4\%$ $\mathrm{H_2SO_4}$ by mass and has a density of $1.25\ \mathrm{g\ mL^{-1}}$ . The molarity of the $\mathrm{H_2SO_4}$ solution is $\_\_\_\_\_$ $M$ (nearest integer).

[Given: molar mass of $\mathrm{H_2SO_4} = 98\ \mathrm{g\ mol^{-1}}$ ]

Answer: 4

Numerical answer — enter this value.

Step-by-step solution

Assume $100\ g$ solution.

Mass of $\mathrm{H_2SO_4}$ $= \mathrm{31.4\ g}$

Moles of $\mathrm{H_2SO_4}$ $= \mathrm{\frac{31.4}{98} = 0.32\ mol}$

Volume of solution $= \mathrm{\frac{100}{1.25} = 80\ mL = 0.08\ L}$

Molarity, $\mathrm{M}=\frac{\mathrm{n}_{\text {solute }}}{\mathrm{V}}$

$\mathrm{M = \frac{0.32}{0.08} = 4}$

Answer key and solution verified before publishing.

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Exam: JEE Main 2024
Paper: 29 January, Shift 1
Subject: Chemistry
Chapter: Some Basic Concepts of Chemistry (Mole Concept) + Stoichiometry
Topic: Concentration Terms and Their Interconversion