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  4. At room temperature a diatomic gas is found to have an r.m.s. speed of 1930 ms-1. The gas is :

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Q. At room temperature a diatomic gas is found to have an r.m.s. speed of $1930\, ms^{-1}$. The gas is :

JEE MainJEE Main 2014Kinetic Theory

Solution:

$\because C=\sqrt{\frac{3RT}{M}}$
$\left(1930\right)^{2}=\frac{3\times8.314\times300}{M}$
$M=\frac{3\times8.314\times300}{1930\times1930} \approx2\times10^{-3}\,kg$
The gas is $H_{2}.$