MHT CET · Physics · Thermodynamics
For an ideal gas, in an isobaric process, the ratio of heat supplied 'Q' to the work done ' \(w\) ' by the system is ( \(\gamma=\) ratio of specific heat at constant pressure to that at constant volume)
- A \(\frac{1}{\gamma}\)
- B \(\frac{1}{\gamma-1}\)
- C \(\frac{\gamma}{\gamma-1}\)
- D \(\frac{\gamma-1}{\gamma}\)
Answer & Solution
Correct Answer
(C) \(\frac{\gamma}{\gamma-1}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} \frac{Q}{W} & =\frac{n C_p \Delta T}{n R \Delta T}=\frac{C_p}{R} \\ \therefore \quad C_p & =\frac{R \gamma}{\gamma-1} \\ \therefore \quad \frac{Q}{W} & =\frac{\gamma}{\gamma-1}\end{aligned}\)
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