Thermodynamics homework

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homework10-3.docx

1 A power cycle absorbs 100 MW heat from a boiler at 800C and expels waste heat to cooling water. The cooling water is at 25C, and the condenser released the waste heat at 40C. You can assume that the working fluid is water. You can assume that the heat capacity of liquid water is 4.2 kJ/kg K. (You do not need to follow the problem-solving rubric for this problem.)

a. What is the efficiency of a Carnot cycle operating between the boiler and cooling water?

b. What is the temperature, pressure, and enthalpy, and entropy at each point in the cycle? Complete the following table.

Point in the cycle

T (˚C)

P (atm)

H (kJ/kg)

S (kJ/kg K)

phase

Boiler Exit

800

Turbine Exit

Condensor Exit

40

Pump Exit

c. How much net work does the cycle produce? What is the efficiency of this cycle? \

d. What is the total change in entropy associated with this cycle? (Hint: the answer is not zero.)