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 increases from V to 32 V . The efficiency of the engine is

Step-by-step solution

The efficiency of cycle is η = 1 - T 2 T 1 For adiabatic process T V γ - 1 = c o n s t a n t For diatomic gas γ = 7 5 T 1 V 1 γ - 1 = T 2 V 2 γ - 1 T 1 = T 2 V 2 V 1 γ - 1 T 1 = T 2 32 7 5 - 1 = T 2 2 5 2 / 5 = T 2 × 4 T 1 = 4 T 2 η = 1 - 1 4 = 3 4 = 0.75