A $4-$Stroke $4-$cylinder $2\mathrm{.}5$ L SI engine has the following specifications:

$\frac{S}{B}$ ratio $=1\mathrm{.}025,r=8\mathrm{.}6,AF=15,$ fuel Isooctane with a heating value of $44,300$

$K\frac{J}{k}g,$

$c=100\%,P1=100$kPa,$T1=27C,$ and $4\%$ of the exhaust residual is left over from

the previous combustion cycle.

Calculate:

a$)$ displaced volume $m^3$

b$)$ V$1m^3$

c$)$ Clearance volume $(m^3)$

d$)$ Total mass of mixture $kg$

d$)$ Mass of air$[$kg$]$

e$)$ Mass of fuel $(kg)$

f$)$ Mass of exhaust $($ kg $)$

g$)$ Heat addition during combustion $($KJ$)$