Consider an ideal Diesel cycle with cold$-$air$-$standard assumptions, and compression ratio of $20,$ and the cutoff ratio of $1\mathrm{.}5.$ The temperature and pressure at the beginning of the compression process are $300$ K and $0\mathrm{.}1$ MPa respectively. Determine $($a$)$ the temperature and pressure at the end of each process of the cycle, $($b$)$ the thermal efficiency of the cycle, $($c$)$ the mean effective pressure of the cycle, and $($d$)$ the entropy change per unit mass for the heat addition and heat rejection processes.

Solve problem $4$ assuming the isentropic efficiency of the compression and expansion process is $75\%$ Part $1$ and then do part $2$