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What is the efficiency of a Carnot engine operating between temperatures of 500

Practice Questions

Q1
What is the efficiency of a Carnot engine operating between temperatures of 500 K and 300 K?
  1. 0.4
  2. 0.5
  3. 0.6
  4. 0.7

Questions & Step-by-Step Solutions

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