Q. At constant pressure, the ratio of increase in volume of an ideal gas per degree rise in kelvin temperature to it’s original volume is ($T =$ absolute temperature of the gas)
A) $T^{2}$
B) $T$
C) $1/T$
D) $1/T^{2}$
Explanation
(c) At constant pressure $V \propto T \Rightarrow \frac{\mathrm{\Delta}V}{V} = \frac{\mathrm{\Delta}T}{T}$
Hence ratio of increase in volume per degree rise in kelvin temperature to it’s original volume $= \frac{(\mathrm{\Delta}V/\mathrm{\Delta}T)}{V} = \frac{1}{T}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.