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AP EAMCET · PHYSICS · Kinetic Theory of Gases

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. A \(1: 1\)
  2. B \(1: 16\)
  3. C \(16: 5\)
  4. D \(5: 16\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1: 1\)

Step-by-step Solution

Detailed explanation

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…