A diatomic ideal gas is used in a Car engine as the working substance. If during the adiabatic expansion part of the cycle, 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 =1- T₂ T₁ for adiabatic process TV ^ r⁻¹ = constant For diatomic gas = 7 5 aligned & T ₁ ~V ₁^ -1 = T ₂ ~V ₂^ -1 & ~T ₁= T ₂ ( V ₂ ~V ₁ )^ -1 & ~T ₁= T ₂(32)^ 7 5 -1 &= T ₂ (2^5 )^ 2 / 5 &= T ₂ 4 & ~T ₁=4 ~T ₂ . & = (1- 1 4 )= 3 4 =0.75 aligned