A $4$ stroke $2\mathrm{.}4$ L gasoline engine runs at $2500$ RPM has an efficiency of $60\%.$ The state before compression is $40$ kPa, $280$ K and after combustion it is at $2200$ K$.$

Find:

a$)$ The highest T and P in the cycle.

b$)$ The specific heat transfer added

c$)$ The cycle MEP and the total power produced.

d$)$Suppose we reconsider the above and instead of the standard ideal cycle we assume the expansion is a polytropic process with n $=1\mathrm{.}5.$ What are the exhaust temperature and the expansion specific work?