PYQ Vault

Carnot efficiency when the source or sink temperature is changed

This type of question, asked 6 times: 2021 Paper 15, 2021 Paper 22, 14 Jun 2022, 28 Jul 2022, 25 Jan 2023, 1 Feb 2023. All 6 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 15

    15
    The efficiency of heat engine is 16\frac{1}{6}. When the temperature of sink is reduced by 62∘C62^{\circ}C, then efficiency doubles. What is the temperature of the source?
  2. Question 2

    2021 Paper 22

    4
    A reversible engine has an efficiency of 14\frac{1}{4}. If the temperature of the sink is reduced by 58∘C58^{\circ}C, its efficiency becomes double. Calculate the temperature of the sink:

    Tap an option to check your answer.

  3. Question 3

    14 Jun 2022

    17
    A Carnot engine whose heat sinks at 27∘C27^{\circ}C, has an efficiency of 25%25\%. By how many degrees should the temperature of the source be changed to increase the efficiency by 100%100\% of the original efficiency?

    Tap an option to check your answer.

  4. Question 4

    28 Jul 2022

    7
    A Carnot engine has efficiency of 50%50\%. If the temperature of sink is reduced by 40∘C40^{\circ}C, its efficiency increases by 30%30\%. The temperature of the source will be:

    Tap an option to check your answer.

  5. Question 5

    25 Jan 2023

    19
    A Carnot engine with efficiency 50%50\% takes heat from a source at 600 K600\text{ }K. In order to increase the efficiency to 70%70\%, keeping the temperature of sink same, the new temperature of the source will be:

    Tap an option to check your answer.

  6. Question 6

    1 Feb 2023

    98
    A Carnot engine operating between two reservoirs has efficiency 13\frac{1}{3}. When the temperature of cold reservoir raised by xx, its efficiency decreases to 16\frac{1}{6}. The value of xx, if the temperature of hot reservoir is 99∘C99^{\circ}C, will be:

    Tap an option to check your answer.