Verizon 9:43 PM Exit uestion i 3 pts An inventor has an idea for a power plant t

Question

Verizon 9:43 PM Exit uestion i 3 pts An inventor has an idea for a power plant that is powered by burning poop. When poop is burned, it produces methane, which can burn at a temperature of 1549°F. He plans on locating the power plant in Erie, PA, to take advantage of the cold lake and the large amount of poop. He plans on rejecting heat to the deepest part of the lake, which has an average temperature of approximately 42°F year round. He claims his plant is 74.7% efficient. Do you believe him? To check your work, enter your calculated efficiency as a decimal in the box below

Explanation / Answer

According to the inventor, source temperature TH = 1549oF = 1115.928 K          T(K) = (T(°F) + 459.67)× 5/9

                                      sink temperature TC = 42oF = 278.706 K

Carnot efficiency can be calculated as ?c = (1 ? TC/TH)×100 %

                                                            = (1 - 278.706/1115.928)x100 = 75 %

Yes I believe the inventor.

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