First slide

Different type of processes

Question

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 32V, the efficiency of the engine is :

Easy

A

0.25
B

0.5
C

0.75
D

0.99

Solution

$T_{1} V_{1}^{γ - 1} = T_{2} V_{2}^{γ - 1} \Rightarrow \frac{T_{2}}{T_{1}} = \frac{1}{4} So, η = 1 - \frac{T_{2}}{T_{1}} = 0.75$

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