A single$-$cylinder two$-$stroke steam engine has a cylinder diameter of $0\mathrm{.}25$ m and a stroke

of $0\mathrm{.}35$ m $.$ The mean effective pressure is $191\mathrm{.}5$ kPa $.$ Calculate $($a$)$ the work done in the

cycle, $($b$)$ Calculate the power $($in Watts$),$ given the engine speed is $140$ rpm $.$

Hint: The mean effective pressure represents an average pressure during the cycle. This

pressure is constant. This single$-$cylinder engine undergoes one crank revolution per cycle.