$(10$ points$)$ Consider a simple Rankine cycle in which the pressure ratio is $80\mathrm{.}00,$ opelathg at a mass flow rate of $1\mathrm{.}4k\frac{g}{s}.$ When the working fluid $($water$)$ contains the greatest energy, it is at $1\mathrm{.}2$ MPa and $600C.$

$($a$)$ If this cycle requires $4761$ kW of heat to operate, then whit is the isentropic efficiency of the pump?

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$($b$)$ If water enters the condenser with a quality c: $1\mathrm{.}0,$ then what is the isentropic efficiency of the turbine?

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