What is the efficiency of a Carnot engine operating between 300 K and 600 K? (20

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Question: What is the efficiency of a Carnot engine operating between 300 K and 600 K? (2022)

Options:

Correct Answer: 0.5

Solution:

Efficiency = 1 - (T_c/T_h) = 1 - (300/600) = 0.5.

What is the efficiency of a Carnot engine operating between 300 K and 600 K? (2022)

What is the efficiency of a Carnot engine operating between 300 K and 600 K? (2022)

Step 1: Identify the temperatures of the hot and cold reservoirs. Here, T_h (hot temperature) is 600 K and T_c (cold temperature) is 300 K.
Step 2: Use the formula for the efficiency of a Carnot engine: Efficiency = 1 - (T_c / T_h).
Step 3: Substitute the values into the formula: Efficiency = 1 - (300 / 600).
Step 4: Calculate the fraction: 300 / 600 = 0.5.
Step 5: Subtract the fraction from 1: Efficiency = 1 - 0.5 = 0.5.
Step 6: Convert the efficiency to a percentage if needed: 0.5 = 50%.

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