Open Question
A Carnot heat engine operates between reservoirs at 182℃ and 0℃. If the engine extracts 25 J of energy from the hot reservoir per cycle, how many cycles will it take to lift a 10 kg mass a height of 10 m?
23. The Second Law of Thermodynamics
The Carnot Cycle
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What is the Carnot efficiency of a heat engine operating between a hot reservoir at 300°C and a cold reservoir at 10°C?
A
47%
B
62%
C
75%
D
87%
E
97%
F
51%
Verified step by step guidance1
Convert the temperatures from Celsius to Kelvin. The temperature in Kelvin is given by the formula: . For the hot reservoir, and for the cold reservoir, .
Calculate the temperatures in Kelvin. For the hot reservoir, K and for the cold reservoir, K.
Use the formula for Carnot efficiency, which is given by: , where is the temperature of the cold reservoir and is the temperature of the hot reservoir.
Substitute the values into the Carnot efficiency formula: .
Simplify the expression to find the efficiency percentage. This will give you the Carnot efficiency of the heat engine operating between the given temperatures.
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