Q. A gas at $27℃$ 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) $100℃$
B) $173℃$
C) $273℃$
D) $- 173℃$
Explanation
(d) $\frac{P_{1}V_{1}}{T_{1}} = \frac{P_{2}V_{2}}{T_{2}} \Rightarrow T_{2} = \frac{P_{2}V_{2}}{P_{1}V_{1}} \times T_{1}$
$= T_{2} = \frac{1}{30} \times \frac{10}{1} \times 300 = 100K = - 173℃$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.