What is the efficiency of a Carnot engine operating between a hot reservoir at 6

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Question: What is the efficiency of a Carnot engine operating between a hot reservoir at 600 K and a cold reservoir at 300 K?

Options:

Correct Answer: 0.33

Solution:

Efficiency (η) = 1 - (T_c/T_h) = 1 - (300/600) = 0.5 or 50%.

What is the efficiency of a Carnot engine operating between a hot reservoir at 600 K and a cold reservoir at 300 K?

What is the efficiency of a Carnot engine operating between a hot reservoir at 600 K and a cold reservoir at 300 K?

Step 1: Identify the temperatures of the hot and cold reservoirs. The hot reservoir (T_h) is at 600 K and the cold reservoir (T_c) is at 300 K.
Step 2: Use the formula for the efficiency of a Carnot engine: Efficiency (η) = 1 - (T_c / T_h).
Step 3: Substitute the values into the formula: η = 1 - (300 / 600).
Step 4: Calculate the fraction: 300 / 600 = 0.5.
Step 5: Subtract the fraction from 1: η = 1 - 0.5.
Step 6: Calculate the final result: η = 0.5 or 50%.

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