A vessel contains mixture of hydrogen and oxygen gases in the ratio of their masses equal to \(1: 5\). The…
A vessel contains mixture of hydrogen and oxygen gases in the ratio of their masses equal to \(1: 5\). The ratio of mean kinetic energies of the two gasses is
\(1: 1\)
\(1: 16\)
\(16: 5\)
\(5: 16\)
Solution
Given, \(M_{\mathrm{H}_2}: M_{\mathrm{O}_2}=1: 5\)
Mean kinetic energy per molecule,
\(\begin{aligned}
& \bar{E}=\frac{3}{2} K_B T \\
& \bar{E} \propto T
\end{aligned}\)
Hence, mean kinetic energy of gases, depends on the temperature only.
Since, temperature of both gases is same. Hence, ratio of their mean kinetic energy will be \(1: 1\).