A novel heat engine is being considered for producing work from the thermal ener

Question

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, 35C wastewater leaves the plant at and is discharged into the ocean at 1000 gallons per minutes.If the average annual ocean temperature is 10 C 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 heat capacity of water at constant pressure is constant at 4200 J/KgK.

Explanation / Answer

Relevant equations

delta T = Tf - Ti
Q = mc delta T
Carnot n=1-(Tc/Th)
W= total heat times Carnot n
1000 Gallons per minute = 63.09 Kg per sec
Maximum power produced=P=W/t=1,000 gpm [8.32 lbs/gallon][kg/2,205 lbs][minute/60 seconds][4200][25]= 6603.17 joule


T1 = 10 +273 = 283K
T2 = 35 +273 = 308K
Delta T = 25 K
Carnot = 1- 283K/308K = 0.08 = 8%

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