A power plant generating 900 MW of work takes in steam at 300 and discards heat
ID: 1838783 • Letter: A
Question
A power plant generating 900 MW of work takes in steam at 300 and discards heat to a river at 18 . Which of the following are TRUE? Choose ALL answers that apply.
A.
The maximum efficiency of the power plant is 49.2%.
B.
The heat discarded to the river is 929.2 MW.
C.
The heat discarded to the river cannot be calculated without further information.
D.
The difference between QH and QC for the actual plant is 900 MW.
E.
The ratio of QH/QC for the actual plant is given by TH/TC.
F.
The maximum efficiency is unknown and cannot be calculated without further information.
A.
The maximum efficiency of the power plant is 49.2%.
B.
The heat discarded to the river is 929.2 MW.
C.
The heat discarded to the river cannot be calculated without further information.
D.
The difference between QH and QC for the actual plant is 900 MW.
E.
The ratio of QH/QC for the actual plant is given by TH/TC.
F.
The maximum efficiency is unknown and cannot be calculated without further information.
Explanation / Answer
Power plant generates 900 MW of work which is difference between QH and QC.
So option D is correct
The maximum efiiciency of power plant is equal to the efficiency of Carnot engine which is equal to
efficiency = 1 - (TC/TH) = 1 - (18/300) = 0.94
The ratio of QH/QC is equal to TH/TC only for carnot engine not for actual power plant.
The heat discarded to the river canot be calculated without the further information one needs QH
So option C is correct.
So in all the above option only option C and option D is correct.
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