Question

A gas at 27C temperature and 30 atmospheric pressure is allowed to expand to the atmospheric pressure. If the volume becomes 10 times its initial volume, then the final temperature becomes

• A. 100C
• B. 173C
• C. 273C
• D. – 173C

Answer 1

Answer: (D)

– 173C

Answer 2

$\frac{P_{1}V_{1}}{T_{1}} = \frac{P_{2}V_{2}}{T_{2}} \Rightarrow T_{2} = \frac{P_{2}V_{2}}{P_{1}V_{1}} \times T_{1}$

$\Rightarrow T_{2} = \frac{1}{30} \times \frac{10}{1} \times 300 = 100K = - 173{^\circ}C$