$1.$ Consider a Rankine cycle using water as the working fluid. The cycle operates between $0\mathrm{.}0025$ and $4$ MPa $.$ The water enters the pump as a saturated liquid and enters the turbine at $1074\mathrm{.}2$ K $.$ The pump has an efficiency of $0\mathrm{.}65,$ and the turbine has an efficiency of $0\mathrm{.}85.$

Find the efficiency of the cycle. Compare this to the Carnot efficiency of a cycle operating between the same two temperatures.