Q. To double the volume of a given mass of an ideal gas at $27℃$ keeping the pressure constant, one must raise the temperature in degree centigrade to
A) $54^{o}$
B) $270^{o}$
C) $327^{o}$
D) $600^{o}$
Explanation
(c) $V \propto T \Rightarrow \frac{V_{1}}{V_{2}} = \frac{T_{1}}{T_{2}} \Rightarrow \frac{V}{2V} = \frac{(273 + 27)}{T_{2}} = \frac{300}{T_{2}}$
$\Rightarrow T_{2} = 600K = 327℃$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.