A mixture of one mole of monoatomic gas and one mole of a diatomic gas (rigid) are kept at room temperature (27 ° C ) . The ratio of specific heat of gases at constant volume respectively is:

Physics · Kinetic Theory of Gases

JEE Main 2024 — 8 April, Shift 1 — Question 34

A mixture of one mole of monoatomic gas and one mole of a diatomic gas (rigid) are kept at room temperature $\left(27^{\circ} \mathrm{C}\right)$ . The ratio of specific heat of gases at constant volume respectively is:

Option A:
$\frac{7}{5}$
Option B:
$\frac{3}{2}$
Option C:
$\frac{3}{5}$
Correct
Option D:
$\frac{5}{3}$

Answer: C

Step-by-step solution

$\frac{\left(\mathrm{C}_{\mathrm{v}}\right)_{\text {mono }}}{\left(\mathrm{C}_{\mathrm{v}}\right)_{\text {dia }}}=\frac{\frac{3}{2} \mathrm{R}}{\frac{5}{2} \mathrm{R}}=\frac{3}{5}$

Answer key and solution verified before publishing.

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Exam: JEE Main 2024
Paper: 8 April, Shift 1
Subject: Physics
Chapter: Kinetic Theory of Gases
Topic: Equipartition Law of Energy and Degrees of Freedom