Q. The volume of a gas at $20℃$ is $200\ ml.$ If the temperature is reduced to $- 20℃$ at constant pressure, its volume will be
A) $172.6\ ml$
B) $17.26\ ml$
C) $192.7\ ml$
D) $19.27\ ml$
Explanation
(a) $V \propto T \Rightarrow \frac{V_{1}}{V_{2}} = \frac{T_{1}}{T_{2}} \Rightarrow \frac{200}{V_{2}} = \frac{(273 + 20)}{(273 - 20)} = \frac{293}{253}$
$\Rightarrow V_{2} = \frac{200 \times 253}{293} = 172.6ml$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.