Question

If the kinetic energy in $J$, of $C{H}_4$ (molar mass $=16gmo{l}^{-1})$ at $T\left(K\right)$ is $X$, the kinetic energy in $J$, of $O_2$ (molar mass $=32gmo{l}^{-1})$ at the same temperature is :

• A. $X$
• B. $2X$
• C. $X^2$
• D. $\frac{X}{2}$

Answer 1

The correct option is A $X$

Kinetic energy for $n$ moles of the gas :

$KE=\frac{3}{2}nRT$

$KE\propto nT$

Here, both $C{H}_4$ and $O_2$ have the same number of moles, so they have the same kinetic energy at the same $T$.

$KE$ of $C{H}_4=X$

$KE$ of $O_2=X$

Therefore, the option is A.