Question

Oxygen and hydrogen are at the same temperature $T$ . The ratio of the mean kinetic energy of oxygen molecules to that of the hydrogen molecules will be

• A. $16 : 1$
• B. $1: 1$
• C. $4 : 1$
• D. $1 : 4$

Answer 1

Answer: (B)

$1: 1$

Answer 2

The mean kinetic energy for gas molecules
$E=\frac{3}{2}KT$
$\Rightarrow E \propto T$
So, $\frac{E_{1}}{E_{2}}=\frac{T_{1}}{T_{2}} \ldots\left(i\right)$
According to question both the gases are at the same temperature $T$
So, $\frac{E_{1}}{E_{2}}=\frac{T}{T}=\frac{1}{1}$
$\Rightarrow E_{1} : E_{2}$
$=1:1$