$*$Please show ALL the work and use the correct given data$*$

Analyze and solve the following exercise: An ideal Otto cycle, as shown in the diagram, has a compression ratio of $9$ and a cylinder volume of $2$ liters. At the beginning of the compression process the air is at $101\mathrm{.}33$ kPa and $20\mathrm{.}15$C$,$ and $1002$ kJ$/$kg of heat is transferred at constant volume to the air during the heat addition process.

Take into account the variation of the specific heats of the air with temperature $($use table A$-17)$ and also consider that the air at the different points must be adjusted with the compressibility factor Z: Z$1=0\mathrm{.}93,$ Z$2=0\mathrm{.}89,$ Z$3=0\mathrm{.}87,$ Z$4=0\mathrm{.}85.$ where using the ideal gas equation, determine:

a$)$ the maximum temperature and pressure that occur during the cycle, b$)$ the net work output,

c$)$ the thermal efficiency

d$)$ the mean effective pressure in the cycle.

e$)$ Also, determine the power produced in the cycle, in kW$,$ for an engine speed of $4250($rev$/$min$).$ Assume that this cycle is operated on a $4-$cylinder engine with a total displacement volume of V Liters.

Also, consider that the engine power in kW is calculated with the four$-$stroke engine ratio: w net $/(2*60),$ where w net $=$ mass$*$ W net is the work per cycle Wnet $=$ q in $-$ q out $=($kJ$/$Kg$)$

Answer table Points of the cycle T $($ K $)$ U $($k$/$kg$)$ V$\_($r$)$ P $($kPa$)1234$ Heat input kJ Heat output kJ Net work kJ$//$kg Net work per cycle k$/$ciclo Air mass kg Power kW$=$k$//$s Efficiency $\%$ Cold air efficiency $\%$