you are given a heat engine that is equally capable of converting a heat flow or

Question

you are given a heat engine that is equally capable of converting a heat flow or radiative heat into work. in both cases, it is only 30% efficient (but you can assume that it operates reversibly). ultimately, you want the heat engine to produce work at a rate of 1000 kJ/hr.

a, if your input is a heat flow at 150 C, what is the rate at which heat needs to be added to produce the desired work and at what temperature willl the engine dump excess heat?

b, if your input is a radiative heat source at 150 C, what is the rate at which heat needs to be added to produce the desired work and at what temperature will the engine dump exceess heat?

Explanation / Answer

FOR BOTH CASES

Efficiency = 1- T1/T2

T2 = 150+273 = 423

1-T1/423 = 0.3

T1 = 296.1 K = 23.1 C

Efficiency = Work done /heat added = 0.3

1000 KJ/hr/Heat added = 0.3

heat Added = 3333.3 KJ/hr

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