For the supercharged engine whose data is given below, compute:

a$)$ P$-$V and T$-$S diagrams

b$)$ P$,$V$,$T parameters in the corresponding states

c$)$ Work and heat exchanges and the variation of all caloric parameters $($U$,$ H$,$ S$,$ etc$)$ on each evolutions and on the entire cycle.

d$)$ Theoretical power and thermodynamic efficiency.

e$)$ Theoretical power and thermodynamic efficiency if the air is cooled at the outlet from the compressor to the temperature of the ambiant environment.

f$)$ Theoretical power and thermodynamic efficiency of the same engine if it were turbocharged instead of supercharged with mechanical compressor.

$V_S=17\mathrm{.}8$ liters, $lon=11\mathrm{.}8,=1\mathrm{.}16,=1\mathrm{.}26,p_a=\frac{1\mathrm{.}02}{b}ar,t_a=2C,{}_c=3\mathrm{.}54,n_r=1500ro\frac{t}{m}in.$

For grades above $9$:$i=6$ cil., $k_{\text{m}\text{o}\text{t}\text{o}\text{r}}=1\mathrm{.}33,k_{\text{a}\text{e}\text{r}}=1\mathrm{.}4,M=28K\frac{g}{K}$mol.

For grades below $9$: $i=6$ cil., $k=1\mathrm{.}4,M=28K\frac{g}{K}$mol.