Dr. Terror uses a heat engine like the one shown at the right. It has the follow

Question

Dr. Terror uses a heat engine like the one shown at the right. It has the following operational parameters: - T_H = 1.43 times 10^3 K - T_L= 356 K - Q_H = 3.82 times 10^3 J - elementof = 12.9 % (the efficiency of the engine) Answer the three questions below, using three significant digits. Part A: What is the work output (W) of the engine? W = Number __________ J Part B: How much heat is exhausted (Q_L) to the low-temperature reservoir? Q_L = Number ______ J Part C: What is the theoretical maximum efficiency (elementof_max) that could be attained in this context?

Explanation / Answer

Given

   TH = 1.43*10^3 k

   TL = 356 k

   QH = 3.82*10^3 J

   e = 12.9 % = 0.129

we know that the efficiency of carnot engie is e = W/QH = TH-TL/TH = QH - QL /QH

PartA

   work output W = e*QH = 0.129*3.82*10^3 J = 492.78 J

Part B

   e= QH - QL /QH

  
   0.129 = (3.82*10^3-x)/(3.82*10^3 )

   QL = 3327.21 J

PartC
Theoritical efficiency is

   e = TH-TL/TL

   e = (1430-356)/(1430) = 75.10 %

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