Question$\backslash$#$2$:

In an engine laboratory, a spark ignition engine with a compression ratio of $12$ needs to be simulated. The laboratory temperature and pressure are $\backslash (22^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and $100$ kPa $,$ respectively. The simulation uses air as an ideal gas $($Kair$=1\mathrm{.}4)$ and absorbs $1000$ kJ of heat to run the engine. Determine the followings:

a$)$ What is the desired type of thermodynamic cycle for this simulation? $(10$ Marks$)$

b$)$ The thermal efficiency of the cycle $(10$ Marks$)$

c$)$ Mean effective pressure $(10$ Marks$)$

d$)$ Sketch the P$-$V diagram for this cycle $(10$ Marks$)$