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
$1: 4$
$4: 1$
$1: 16$
$16: 1$
Solution
$\mathrm{P}_1 \mathrm{~V}_1=\frac{\mathrm{m}_1}{\mathrm{M}_1} \mathrm{RT}_1 \ldots$...(i)
$\mathrm{P}_2 \mathrm{~V}_2=\frac{\mathrm{m}_2}{\mathrm{M}_2} \mathrm{RT}_2 \ldots$ (ii)
Dividing (i) by (ii)
$\frac{\mathrm{T}_1}{\mathrm{~T}_2}=\frac{\mathrm{M}_1}{\mathrm{M}_2}=\frac{32}{2}=\frac{16}{1}$