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An engine receives 15152 J/ sec of heat and produces 5kw of power. The efficiency of the engine is
  • a)
    25%
  • b)
    27%
  • c)
    30%
  • d)
    33%
Correct answer is option 'D'. Can you explain this answer?
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To find the efficiency of the engine, we need to use the formula:

Efficiency = (Useful output energy / Input energy) x 100

Given:
Input energy (heat) = 15152 J/s
Useful output energy (power) = 5 kW = 5000 J/s

Now, let's calculate the efficiency of the engine.

Step 1: Convert the power from kilowatts to joules per second:
1 kW = 1000 J/s
So, 5 kW = 5000 J/s

Step 2: Substitute the values in the formula:
Efficiency = (5000 J/s / 15152 J/s) x 100

Step 3: Simplify the expression:
Efficiency = (0.3295) x 100
Efficiency = 32.95%

Therefore, the efficiency of the engine is approximately 33%, which corresponds to option 'D'.

Explanation:
- The efficiency of an engine represents the ratio of useful output energy (power) to the input energy (heat).
- In this case, the engine receives 15152 J/s of heat and produces 5 kW of power.
- To compare the two values, we need to convert the power from kilowatts to joules per second.
- Substituting the values in the efficiency formula, we can calculate the efficiency as a percentage.
- The calculated efficiency is approximately 32.95%, which can be rounded to 33%.
- Therefore, the correct answer is option 'D'.
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