Question

Two vessels A and B having equal volume contain equal masses of hydrogen in A and helium in B at $300\text{K}$. Then, mark the correct statement.

• A. The pressure exerted by hydrogen is half that of exerted by helium.
• B. The pressure exerted by hydrogen is equal to that of exerted by helium.
• C. The pressure exerted by helium is thrice that of exerted by hydrogen.
• D. The pressure exerted by hydrogen is twice that of exerted by helium.

Answer 1

The correct option is D The pressure exerted by hydrogen is twice that of exerted by helium.

Using ideal gas equation
$PV=nRT$
$P_{H_2}=\frac{m}{M_{H_2}}\frac{RT}{V},P_{He}=\frac{m}{M_{He}}\frac{RT}{V}$
$\therefore \frac{P_{H_2}}{P_{He}}=\frac{M_{He}}{H_{H_2}}=\frac{4\times {10}^{-3}}{2\times {10}^{-3}}=2$
Hence, the correct answer is option (d).