A combustion engine can be modeled according to the ideal diesel cycle. The cylinder volume is $1200$ cm$3$ at the beginning of the compression process, $75$ cm$3$ at the end of the compression process, and $150$ cm$3$ at the end of the heat$-$addition process. The air is at $17\backslash$deg C and $100$ kPa at the beginning of the compression. Determine $($a$)$ the pressure at the beginning of the heat$-$rejection process and $($b$)$ the net work per cycle. Assume cp $=0\mathrm{.}5203$kJ$/$kg$.$K; cv $=0\mathrm{.}3122$ kJ$/$kg$.$K; R $=0\mathrm{.}2081$ kJ$/$kg$.$K; k $=1\mathrm{.}667($do not use thermodynamic tables$)$