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Question

For a Carnot engine initially operating between absolute temperatures \(T_1\gt T_2\gt 0\), compare equal small absolute temperature changes from the same initial state. Which change increases efficiency more?

The correct answer is

Decrease T2, keeping T1 constant

Carnot efficiency is \(\eta=1-T_2/T_1\). For the same small positive temperature change \(\delta T\), raising the source gives \(\Delta\eta\approx(T_2/T_1^2)\delta T\), whereas lowering the sink gives \(\Delta\eta=\delta T/T_1\). Because \(T_1\gt T_2\gt 0\), the latter increase is larger.

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Important Questions from Statements of Second Law of Thermodynamics

  1. Which law of thermodynamics assigns a quality to different form of energy, and also indicates the direction of any spontaneous process?

  2. The heat flows from a cold body to a hot body with aid of an external source. The statement is given by

  3. The direction of the natural process is defined by ______.
  4. Identify the correct option with respect to the second law of thermodynamics.

    I) It gives the concept of temperature

    II) It gives the concept of internal energy

    III) it gives the concept of entropy

  5. Which of following is true with respect to PMM2?

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