Chapter 19, Problem 57P

(a) Show that the heal flowing into the diesel engine of Problem 56 during the cycle (not the net heal flow) is given by $Q_{\text{in}}=\frac{p_1{V}_1{r}^{\text{γ-1}}(\alpha -1)\text{γ}}{\text{γ}-1}$. (b) Use this quantity, along with the result of Problem 56, to show that the diesel engine’s efficiency can be written as $e_{\text{diesel}}=1-\frac{r^{\text{1-γ}}({\alpha }^{\text{γ}}-1)}{(\alpha -1)\text{γ}}$.