For an ideal gas, in an isobaric process, the ratio of heat supplied 'Q' to the work done ' $w$ ' by the…

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)
  1. $\frac{1}{\gamma}$
  2. $\frac{1}{\gamma-1}$
  3. $\frac{\gamma}{\gamma-1}$
  4. $\frac{\gamma-1}{\gamma}$

Solution

$\begin{aligned} \frac{Q}{W} & =\frac{n C_p \Delta T}{n R \Delta T}=\frac{C_p}{R} \\ \therefore \quad C_p & =\frac{R \gamma}{\gamma-1} \\ \therefore \quad \frac{Q}{W} & =\frac{\gamma}{\gamma-1}\end{aligned}$

Asked in: MHT CET 2024 (09 May Shift 1)

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