Question

A vessel has 6 kg 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. 2g
• B. 3g
• C. 4g
• D. 1g

Answer 1

Answer: (D)

For ideal gas equation $pV=\frac{m}{M}RT$ $pV=\frac{6}{M}R(500)$ ?(i) Let x gram of hydrogen leaks out $\frac{p}{2}V=\frac{(6-x)}{M}R(500)$ ...(ii) Dividing Eq. (ii) by Eq. (i), we have $\frac{1}{2}=\frac{6-x}{6}-\frac{300}{500}$ $\frac{1}{2}=\frac{6-x}{6}$ $6-x=5$ $x=1g$