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

Practice Questions

Q1
What is the efficiency of a Carnot engine operating between 300 K and 600 K? (2022)
  1. 0.5
  2. 0.33
  3. 0.25
  4. 0.67

Questions & Step-by-Step Solutions

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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