Question

A vessel has 6 g of hydrogen at pressure P and temperature 500 K. A small hole is made in it so that hydrogen leaks out. How much hydrogen leaks out if the final pressure is P/2 and temperature falls to 300 K –

• A. 2 g
• B. 3 g
• C. 4 g
• D. 1g

Answer 1

Answer: (D)

1g

Answer 2

$PV = \frac{m}{M}RT$

Initially PV = $\frac{6}{M}R \times 500$

$\frac{P}{2}V = \frac{6–x}{M}$ R × 300(if x g gas leaks out)

Hence, 2 = $\frac{6}{6–x} \times \frac{5}{3}$

x = 1 gm