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In a heat engine, if the input heat is 1000 J and the work done is 300 J, what i

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Question: In a heat engine, if the input heat is 1000 J and the work done is 300 J, what is the efficiency of the engine?

Options:

  1. 30%
  2. 70%
  3. 50%
  4. 10%

Correct Answer: 30%

Solution:

Efficiency is calculated as η = (Work output / Heat input) * 100%. Here, η = (300 J / 1000 J) * 100% = 30%.

In a heat engine, if the input heat is 1000 J and the work done is 300 J, what i

Practice Questions

Q1
In a heat engine, if the input heat is 1000 J and the work done is 300 J, what is the efficiency of the engine?
  1. 30%
  2. 70%
  3. 50%
  4. 10%

Questions & Step-by-Step Solutions

In a heat engine, if the input heat is 1000 J and the work done is 300 J, what is the efficiency of the engine?
  • Step 1: Identify the input heat, which is given as 1000 J.
  • Step 2: Identify the work done by the engine, which is given as 300 J.
  • Step 3: Use the formula for efficiency, which is η = (Work output / Heat input) * 100%.
  • Step 4: Substitute the values into the formula: η = (300 J / 1000 J) * 100%.
  • Step 5: Calculate the fraction: 300 J / 1000 J = 0.3.
  • Step 6: Multiply by 100% to find the efficiency: 0.3 * 100% = 30%.
  • Step 7: Conclude that the efficiency of the engine is 30%.
  • Efficiency of Heat Engines – Efficiency is the ratio of useful work output to the heat input, expressed as a percentage.
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