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JEE Main 201412 AprilOnline

Exam: JEE Main
Year: 2014
Date: 12 April
Mode: Online
Subject: Physics
Chapter: Kinetic Theory of Gases

JEE Main 2014 · 12 April · Online · Physics · Kinetic Theory of Gases

At room temperature a diatomic gas is found to have an r.m.s. speed...

At room temperature a diatomic gas is found to have an r.m.s. speed of

1930 \mathrm{~ms}^{-1}

. The gas is:

Options

A $\mathrm{H}_2$
B $\mathrm{Cl}_2$
C $\mathrm{O}_2$
D $\mathrm{F}_2$

Correct answer

A. $\mathrm{H}_2$

Step-by-step solution

\begin{aligned}&\because \quad \mathrm{C}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}}\\ &\left(1930^2\right)=\frac{3 \times 8.314 \times 300}{\mathrm{M}}\\ &\mathrm{M}=\frac{3 \times 8.314 \times 300}{1930 \times 1930} \approx2 \times10^{-3} \mathrm{~kg} \end{aligned}

The gas is

\mathrm{H}_2

.

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