Cycle Description: A Carnot vapor cycle operates in steady state and uses water as the working fluid, which has a mass flow rate of $5,000,000l\frac{b_m}{h}.$ Water flows through the boiler and condenser isobarically. The heat transfer processes are reversible, i$.$e$.,$ the temperature differences between the thermal reservoirs and the water are infinitesimal in the boiler and in the condenser. The pump and turbine are adiabatic and reversible. Since each individual process of the cycle is reversible, the entire cycle is reversible. Changes in kinetic energy and potential energy are negligible in all devices.

For each process, determine the requested information. Be sure to include the correct sign. Round your answers to three significant figures.

Process $1-2$: $(15$ points$)$ At state $1,$ steam enters the turbine as saturated vapor at a pressure of $1000$ psia. At state $2,$ water exits the turbine with a quality of $71\mathrm{.}7952\%$ and a pressure of $5$ psia.

$Bt\frac{u}{l}{b}_m$

Specific enthalpy of the water at the turbine inlet

$2.Bt\frac{u}{l}{b}_m$ Specific enthalpy of the water at the turbine outlet

$3.$ Btu$/$h Rate of heat transfer into the water

$4.$ Btu$/$h

$5.f\frac{t^3}{l}{b}_m$ Mechanical power produced by the water

Specific volume of the water at the turbine outlet