Imagine an engine operating between two reservoirs approximately as a Carnot eng

Question

Imagine an engine operating between two reservoirs approximately as a Carnot engine with temperatures of T_k = 850 K and T_S = 300 K. The engine performs W = 1200 J of work per cycle. What is the efficiency of this engine? How much energy is extracted from the high temperature reservoir every cycle? How much energy is delivered as heat to the low temperature reservoir per cycle? What is the change is entropy of the working substance during the heat extraction from the hot reservoir, during the delivery of heat to the cool reservoir, and the total per cycle?

Explanation / Answer

Here ,

Tc = 300 K

Th = 850 K

W = 1200 J

a)

efficiency of the engine = 1 - Tc/Th

efficiency of the engine = 1 - 300/850

efficiency of the engine = 0.647

b)

for every cycle

heat extracted during each cycle = W * Th/(Th - Tc)

heat extracted during each cycle = 1200 * 850/(850 - 300)

heat extracted during each cycle = 1854 J

c)

heat energy delivered to low temperature per cycle = 1854 - 1200

heat energy delivered to low temperature per cycle = 654 J

d)

change in entropy in hot reserviour = 1854/850

change in entropy in hot reserviour = 2.182 J/K

change in entropy in cold reserviour = 654/300

change in entropy in cold reserviour = 2.18 K

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