It is desired to increase of the volume of a gas by 20% without changing the pressure. To what temperature, the gas must be heated if the initial temperature of the gas is `27^(@)` ?

Answer

C

Explanation

Suppose volume of gas at `27^(@)C=V cm^(3)`
Increase in volume desired =20% of `V=(20)/(100)xxV=0.2 V :.` Final volume =V+0.2 V=1.2 V
Now, `V_(1)=V cm^(3),T_(1)=300 K, V_(2)=1.2 V,T_(2)`=? At constant P,
`(V_(1))/(T_(1))=(V_(2))/(T_(2)):.(V)/(300)=(1.2 V)/(T_(2))" or T_(2)=360 K=360-273^(@)C=87^(@)C`.