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 ……………… .

A diatomic ideal gas is used in a carnot engine as the working substan

1.	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 ……………… .
Answer» 0.25 0.5 0.75 0.99 Solution :`TV^(gamma-1)="constant"` `RARR""(T_(2))/(T_(1))=((V_(1))/(V_(2)))^(gamma-1)=((1)/(32))^((7)/(5)-1)` `(T_(2))/(T_(1))=((1)/(2^(5)))^((2)/(5))=(1)/(4)` `"EFFICIENCY"eta=1-(T_(2))/(T_(1))=1-(1)/(4)=0.75`