A $3\mathrm{.}0-$liter SI engine has the following parameters:

$P1=100$kPa,$T1=27C,r=9\mathrm{.}5,AF=15,c=96\%$

fuel$-$gasoline

a$)$ Draw a P$-$v$,$ and T$-$s diagram for the appropriate model cycle and label TDC$,$

$BDC,$ and $Vd.$

b$)$ Find all T$\text{'}$s$,$ and P$\text{'}$s for each point in the cycle.

c$)$ Determine the heat addition during combustion $(K\frac{J}{k}g)$

d$)$ Determine the net specific work done $(K\frac{J}{k}g)$

e$)$ Determine the indicated thermal efficiency of the cycle.

f$)$ Determine the MEP.

g$)$ Assume the engine above is a V$6$ operating at $2400$ rpm with a mechanical

efficiency of $84\%$ determine the brake power $(kW)$