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

Step-by-step solution

During adiabatic expansion, temperature of the gas decreases. aligned & TV ^ -1 = constant .i.e. T 1 ~V ^ -1 & ~T _ H ~V ₁^ -1 = T _ C ~V ₂^ -1 aligned As the gas is diatomic, =1.4 array ll & T _ C ~T _ H = ( V ₁ ~V ₂ )^ -1 = ( 1 32 )^ 1.4-1 = 1 4 & =1- T _ C ~T _ H =1- 1 4 = 3 4 =0.75 array