An ideal gas with r(Gama) = 1.5 occupies a volume of 2.0 L. The gas expands isothermally to a volume of 3.0 L. Alternatively, the gas reaches the same final state by first adiabatically expanding to the final volume then heating isochorically to the final temperature. For which path is the heat transferred to the gas greatest and by what percent of the lesser amount is it greater?

Question

An ideal gas with  r(Gama) = 1.5 occupies a volume of 2.0 L. The gas expands isothermally to a volume of 3.0 L. Alternatively, the gas reaches the same final state by first adiabatically expanding to the final volume then heating isochorically to the final temperature. For which path is the heat transferred to the gas greatest and by what percent of the lesser amount is it greater?