What is the efficiency of a Carnot engine operating between 500 K and 300 K? (20

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Question: What is the efficiency of a Carnot engine operating between 500 K and 300 K? (2022)

Options:

Correct Answer: 0.6

Solution:

Efficiency = 1 - (T2/T1) = 1 - (300/500) = 0.4 or 40%.

What is the efficiency of a Carnot engine operating between 500 K and 300 K? (2022)

What is the efficiency of a Carnot engine operating between 500 K and 300 K? (2022)

Step 1: Identify the temperatures of the Carnot engine. T1 is the hot temperature (500 K) and T2 is the cold temperature (300 K).
Step 2: Use the formula for efficiency of a Carnot engine: Efficiency = 1 - (T2/T1).
Step 3: Substitute the values into the formula: Efficiency = 1 - (300/500).
Step 4: Calculate the fraction: 300/500 = 0.6.
Step 5: Subtract this value from 1: Efficiency = 1 - 0.6.
Step 6: Calculate the final efficiency: Efficiency = 0.4.
Step 7: Convert the efficiency to a percentage: 0.4 = 40%.

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