JEE Main & Advanced Physics Kinetic Theory of Gases Question Bank Topic Test - Kinetic Theory Of Gases-2

The volume of a gas at \[20{}^\circ C\] is \[200ml.\] If the temperature is reduced to \[20{}^\circ C\]at constant pressure, its volume will be

A) \[172.6ml\]

B) \[17.26ml\]

C) \[192.7ml\]

D) \[19.27ml\]

Correct Answer: A

Solution :

[a]\[V\propto T\]Þ \[\frac{{{V}_{1}}}{{{V}_{2}}}=\frac{{{T}_{1}}}{{{T}_{2}}}\]Þ\[\frac{200}{{{V}_{2}}}=\frac{(273+20)}{(273-20)}=\frac{293}{253}\]

Þ \[{{V}_{2}}=\frac{200\times 253}{293}=172.6\,ml\]