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What is the efficiency of a Carnot engine with source temperature 1000 K and sink temperature 250 K.
1. 25%
2. 50%
3. 75%
4. 40%

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Correct Answer - Option 3 : 75%

Concept:

  • Carnot engine: A theoretical thermodynamic cycle proposed by Leonard Carnot. This engine gives the maximum possible efficiency that a heat engine can have during the conversion process of heat into work or vice-versa, working between two reservoirs.
    • So practically and theoretically there can not be any engine with more efficiency than Carnot engine.

The efficiency of the Carnot's Heat engine is given by:

 \(η=1-\frac{T_L}{T_H}\)

Where TH is the hot reservoir temperature and TL is the cold reservoir temperature.

Calculation:

Given:

TH = 1000 K, TL = 250 K

\(\eta =1- \frac{250}{1000}=75\%\)

  • The efficiency of this type of engine does not depend on the nature of the working substance and is only dependent on the temperature of the hot and cold reservoirs.

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