$5-15.$ A steady$-$state heat engine operates on the Rankine cycle.

The steam entering the turbine is $1k\frac{g}{s}$ of steam at $P=3\mathrm{.}5$MPa and $T=350C.$

The ACTUAL stream exiting the turbine is a mixture of $95\%$ vapor and $5\%$ liquid at $P=50$kPa.

The stream entering the pump is saturated liquid at $P=50$kPa.

A$.$ Determine the efficiency of the turbine.

B$.$ Estimate the work required by the pump.

C$.$ Estimate the overall efficiency of the heat engine,

D$.$ What is the efficiency of a Carnot heat engine that operates between a high temperature of $350C$ and a low temperature that is the same as the temperature of the condenser in this problem?