ThermodynamicsHard

Question

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 32V the efficiency of the engine is

Options

A.0.5
B.0.75
C.0.99
D.0.25

Solution

The efficiency of cycle is
   
for adiabatic process
TVγ - 1 = constant
For diatomic gas γ =
T1V1γ - 1 = T2V2γ - 1
T1 = T2
T1 = T2(32)7/5 - 1 = T2 (25)2/5
= T2 × 4
T1 = 4T2.
= 0.75

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