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Homework Statement
A novel heat engine is being considered for producing work from the thermal energy contained in the wastewater discharge from a large food processing plant. On an average day, 35 degree celcius wastewater leaves the plant at and is discharged into the ocean at 1,000 gallons PER minute. if the average annual ocean temperature is 10 degree celcius at that location, what is the maximum power that could be produced by this heat engine? What would be the thermal cycle efficiency of your maximum power engine? You can assume that the heat capacity of water at constant pressure is contant at 4,200 J/Kg K.
Homework Equations
delta T = Tf - Ti
Q = mc delta T
Carnot n=1-(Tc/Th)
W= total heat times Carnot n
P=W/t
The Attempt at a Solution
1000 Gallons per minute = 63.09 Kg per sec
T1 = 10 +273 = 283K
T2 = 35 +273 = 308K
Delta T = 25 K
Carnot η = 1- 283K/308K = 0.08 = 8%
How can I calculate the maximum power with the rate flow and without the time? I think i am missing an equation.
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