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

Practice Questions

Q1
What is the efficiency of a Carnot engine operating between a hot reservoir at 600 K and a cold reservoir at 300 K?
  1. 0.5
  2. 0.33
  3. 0.25
  4. 0.75

Questions & Step-by-Step Solutions

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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