For Questions 14 & 15, consider the following: A steam engine has a boiler where

Question

For Questions 14 & 15, consider the following: A steam engine has a boiler where energy from the boiler changes water to steam to drive the piston. The boiler operates at a temperature of 500 K. The temperature of the exhaust is that of the outside air, 300 K. Assume this steam engine is an ideal, Carnot engine. 14.) What is the steam engine's efficiency? A.) 2096 B.) 40% C.) 60% D.) 80% E.) 100% 15.) If 3500 J of energy is supplied by the boiler, how much energy is exhausted to the outside? A.) 700J B.) 1400J C.) 2100J D.) 2800J E.) 3500J

Explanation / Answer

Given , Th = 500 K , Tc = 300 K

Part A)Now efficiency of heat engine :

Efficiency (%) = ((Th - Tc)/Th)* 100

Efficiency (%) = ((500 - 300)/500) * 100

Efficiency (%) = 40%

Thus , answer) option B)

Part B) Given , Qh = 3500 J , efficiency = 0.4

Efficiency = (Qh - Qc)/Qh

0.4 = (3500 - Qc)/3500

1400 = 3500 - Qc

Qc = 2100 J

Thus, answer) option C)

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