Q$3.$ The engine from problem $1$ is running with a fuel$-$air mixture where the ratio of mass of air to fuel is $15.$ The fuel heating value is $44,000$ kJ$/$kg$,$ and a combustion efficiency of $97\%.$

Calculate:

a$)$ Fuel mass flow rate into the engine

b$)$ Brake thermal efficiency

c$)$ Indicated thermal efficiency

d$)$ Volumetric efficiency

e$)$ Brake specific fuel consumption