If T1 is the source temperature and T2 is the sink temperature, the more effective way to increase the efficiency of a Carnot engine is

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BPSC AE Paper IV General Engineering 19 Dec 2024 Official Paper
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  1. Decrease T2 keeping T1 constant
  2. Decrease T1 keeping T2 constant
  3. Increase T2 keeping T1 constant
  4. Increase T1 keeping T2 constant

Answer (Detailed Solution Below)

Option 1 : Decrease T2 keeping T1 constant
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Detailed Solution

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Explanation:

The efficiency of the Carnot engine is given by:

\(\eta = \frac{{{T_H} - {T_L}}}{{{T_H}}} = 1 - \frac{{{T_L}}}{{{T_H}}}\)

From the above formula, we know that efficiency is varied by:

  • Decreasing the value of Temperature TL
  • Keeping constant the value of TH

RRB JE ME D5

  • The efficiency of the Carnot cycle is the function of the source and sink temperature.
  • Carnot cycle efficiency depends upon the temperature range of operation.
  • The efficiency of the Carnot engine is increased by decreasing the lower temperature and increasing the higher temperature but more effects on the efficiency of the Carnot cycle is by decreasing lower temperatures as compared to an increase in higher temperature.
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