The efficiency of a heat engine that operates between temperatures of 1500 K in the fire chamber and 600 K in the exhaust chamber is
Correct answer: C. 60 %
- A. 25 %
- B. 50 %
- C. 60 %
- D. 65 %
Explanation
Efficiency (η) = 1 - (T_cold / T_hot)Where: * T_hot = Temperature of the fire chamber (hot reservoir) = 1500 K * T_cold = Temperature of the exhaust chamber (cold reservoir) = 600 KLet's calculate the efficiency:η = 1 - (600 K / 1500 K)η = 1 - (6/15)η = 1 - (2/5)η = 1 - 0.4η = 0.6To express this as a percentage, multiply by 100%:Efficiency = 0.6 * 100% = 60%
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About First Law of Thermodynamics
The first law relates heat supplied, work done and the change in internal energy through energy conservation. Problems use sign conventions and apply the law to isothermal, adiabatic, isobaric and isochoric processes. Internal energy is a state function, while heat and work depend on the path followed.
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