TS EAMCET · Physics · Thermodynamics
A Carnot engine uses diatomic gas as a working substance. During the adiabatic expansion part of the cycle, if the volume of the gas becomes 32 times its initial volume, then the efficiency of the engine is
- A \(100 \%\)
- B \(75 \%\)
- C \(50 \%\)
- D \(25 \%\)
Answer & Solution
Correct Answer
(B) \(75 \%\)
Step-by-step Solution
Detailed explanation
\(\gamma = 1 + \frac{2}{f} = 1 + \frac{2}{5} = \frac{7}{5}\) \(\frac{T_C}{T_H} = \left(\frac{V_1}{V_2}\right)^{\gamma-1} = \left(\frac{V_1}{32V_1}\right)^{\frac{7}{5}-1} = \left(\frac{1}{32}\right)^{\frac{2}{5}}\)…
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