Assertion A: Efficiency of a reversible heat engine will be highest at –273°C temperature of cold reservoir. [2023]

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Solution

Q.
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. [2023]

Assertion A: Efficiency of a reversible heat engine will be highest at –273°C temperature of cold reservoir.

Reason R: The efficiency of Carnot’s engine depends not only on temperature of cold reservoir but it depends on the temperature of hot reservoir too and is given as $η = (1 - \frac{T_{2}}{T_{1}})$ .

In the light of the above statements, choose the correct answer from the options given below:

1 A is true but R is false

2 Both A and R are true but R is NOT the correct explanation of A

3 A is false but R is true

4 Both A and R are true and R is the correct explanation of A

Ans.
(4)

$η = 1 - \frac{T_{cold}}{T_{hot}}$

$T_{cold} = 0 K \Rightarrow η = 1 (max)$

$Both A and R are true and R is the correct explanation of A.$

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