$8\mathrm{.}13$ Show that the entropy generated by the compressor $4^{\text{'}}-1^{\text{'}}$ in ADVANCED GAS TURBINE POWER PLANTS

Figure $8\mathrm{.}24$ External and internal irreversibilities of a gas turbine power plant.$\frac{T_0}{(m^{})}{S}_{\text{g}\text{e}\text{n}\text{,}\text{c}\text{o}\text{m}\text{p}\text{r}\text{e}\text{s}\text{s}\text{o}\text{r}}^{}=T_0(s_{1^{\text{'}}}-s_{4^{\text{'}}})$

$=T_0{c}_{P}ln\{1+(\frac{1}{{}_c}-1)[1-(\frac{P_L-P_L}{P_H}{)}^{\frac{R}{c_P}}]\}$Fig$.8\mathrm{.}24$ is given by eq$.(8\mathrm{.}87).$