A $4\mathrm{.}8-$liter, spark$-$ignition, four$-$stroke cycle, V$8$ industrial engine operates $24$ hours per day for five days at $2000$ RPM using gasoline with A$/$F $=14\mathrm{.}6.$ The engine has a volumetric efficiency of $92\%,$ a brake fuel conversion efficiency of $30\%,$ and a bore $/$ stroke relationship as B $=1\mathrm{.}06$S$.$ Assuming the intake temperature and pressure are $300$K and $100$ kPa, respectively, calculate:

a$.$ Stroke length $($cm$).$

b$.$ Average piston speed $($m$/$s$).$

c$.$ Number of times each spark plug has fired.

d$.$ Mass flow rate of air into engine.

e$.$ Mass flow rate of fuel into the engine.

f$.$ Brake power of the engine.

g$.$ Brake torque of the engine.