A sample of oxygen gas and a sample of hydrogen gas both have the same mass, same volume and the same…
A sample of oxygen gas and a sample of hydrogen gas both have the same mass, same volume and the same pressure. The ratio of their absolute temperature is (Molecular wt. of $\mathrm{O}_2 \& \mathrm{H}_2$ is 32 and 2 respectively)
$1: 4$
$1: 8$
$16: 1$
$12: 1$
Solution
$\begin{aligned}
& \mathrm{P}_1 \mathrm{~V}_1=\frac{\mathrm{m}_1}{\mathrm{M}_1} \mathrm{RT}_1 \\
& \mathrm{P}_2 \mathrm{~V}_2=\frac{\mathrm{m}_2}{\mathrm{M}_2} \mathrm{RT}_2
\end{aligned}$
Dividing (i) by (ii)
$\frac{\mathrm{T}_1}{\mathrm{~T}_2}=\frac{\mathrm{M}_1}{\mathrm{M}_2}=\frac{32}{2}=\frac{16}{1}$