A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increase from V to 32V, the efficiency of the engine is

Explanation

`T_(1)V_(1)^(gamma-1)=T_(2)V_(2)^(gamma-1)rArrT_(1)V_(1)^(1.4-1)=T_(2)(32V_(1))^(1.4-1)`
`rArr(T_(2))/(T_(1))=(1)/(4)rArreta=1-(T_(2))/(T_(1))=1-(1)/(4)=(3)/(4)`