Question

A vessel has 6g of hydrogen at pressure P and temperature 500K. 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 300K?

• A. 2g
• B. 3g
• C. 4g
• D. 1g

Answer 1

Answer: (D)

1g

$PV$ = $\frac{m}{M}RT$
Initally, $PV$ = $\frac{6}{M}R\times 500$
Finally, $\frac{P}{2}V$ = $\frac{(6-x)}{M}R\times 300$ ( if x g gas leaks out)
Hence, $2=\frac{6}{6-x}\times \frac{5}{3}$
$\therefore x=1$gram