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Question: At constant pressure, the ratio of increase in volume of an ideal gas per degree raise in kelvin tem...

At constant pressure, the ratio of increase in volume of an ideal gas per degree raise in kelvin temperature to it's original volume is (T = absolute temperature of the gas)

A

T2

B

T

C

1T\frac{1}{T}

D

1T2\frac{1}{T^{2}}

Answer

1T\frac{1}{T}

Explanation

Solution

At constant pressure V∝T⇒ΔVV=ΔTTV \propto T \Rightarrow \frac{\Delta V}{V} = \frac{\Delta T}{T}

Hence ratio of increase in volume per degree raise in kelvin temperature to it's original volume

=(ΔV/ΔT)V=1T= \frac{(\Delta V/\Delta T)}{V} = \frac{1}{T}