Question

A container $X$ contains 1 mole of $O_2$ gas (molar mass 32) at a temperature $T$ and pressure $P$. Another identical container $Y$ contains one mole of He gas (molar mass 4) at temperature $2T$, then

• A. Pressure in the container Y is $\frac{P}{8}$.
• B. Pressure in container Y is P.
• C. Pressure in the container Y is 2P.
• D. Pressure in container Y is $\frac{P}{2}$.

Answer 1

The correct option is C Pressure in the container Y is 2P.

$P_{O_2}=\frac{nRT}{V}=\frac{RT}{V}\left(i\right)[n=1]$

$P_{\text{He}}=\frac{nRT}{V}=\frac{R\left(2T\right)}{V}\left(ii\right)[n=1]$

By (i) and (ii), $P_{\text{He}}=2P_{O_2}$

$\therefore \left(c\right)$