In an isobaric process, \(\Delta Q = \frac{K\gamma}{\gamma - 1}\) where \(\gamma = \frac{C_P}{C_V}\). What is K ?

\(\Delta W\)

\(\Delta Q = \frac{}{} = \frac{K \frac{C_P}{C_V}}{\frac{C_P}{C_V} - 1} = K \frac{C_P}{C_P - C_V}\)

  \(= K\frac{nC_P \Delta T}{n C_P \Delta T - n C_V \Delta T} = K\frac{\Delta Q}{\Delta Q - \Delta U}\)

  \( = K\frac{\Delta Q}{\Delta W}\)

\(\Rightarrow 1 = \frac{K}{\Delta W}\)

\(\Rightarrow K = \Delta W\)