Problem p$)$: Assume an Otto cycle with a compression ratio of $r=9.$ The intake air is at $101$kPa,$23C,$ and the chamber volume is $600c{m}^3$ before the compression stroke. The temperature at the end of an adiabatic expansion is $T_4=547C.$ Specific heat capacity at a constant air pressure at atmospheric pressure and room temperature: $c_p=1\mathrm{.}01k\frac{J}{k}gK.$ Specific heat capacity at constant air volume at atmospheric pressure and room temperature: $c_v=0\mathrm{.}718$

Calculate:

a$)$ the mass of intake air

b$)$ the temperature $T_3$

c$)$ the pressure $p_3$

d$)$ the amount of heat added by burning of fuel$-$air mixture

e$)$ the thermal efficiency of this cycle

f$)$ the MEP