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Carnot engine: heat absorbed, heat rejected or work from the reservoir temperatures

This type of question, asked 7 times: 2021 Paper 7, 2021 Paper 21, 14 Jun 2022, 26 Jun 2022, 27 Jun 2022, 29 Jun 2022, 8 Apr 2023. All 7 questions below, oldest first.

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  1. Question 1

    2021 Paper 7

    14
    A Carnot's engine working between 400 K400\text{ }K and 800 K800\text{ }K has a work output of 1200 J1200\text{ }J per cycle. The amount of heat energy supplied to the engine from the source in each cycle is:

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  2. Question 2

    2021 Paper 21

    21
    A heat engine operates between a cold reservoir at temperature T2=400 KT_{2}= 400\text{ }K and a hot reservoir at temperature T1T_{1}. It takes 300 J300\text{ }J of heat from the hot reservoir and delivers 240 J240\text{ }J of heat to the cold reservoir in a cycle. The minimum temperature of the hot reservoir has to be ____\_\_\_\_ K.
  3. Question 3

    14 Jun 2022

    95
    A Carnot engine take 5000kcal5000kcal of heat from a reservoir at 727∘C727^{\circ}C and gives heat to a sink at 127∘C127^{\circ}C. The work done by the engine is:

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  4. Question 4

    26 Jun 2022

    115
    A heat engine operates with the cold reservoir at temperature 324 K324\text{ }K. The minimum temperature of the hot reservoir, if the heat engine takes 300 J300\text{ }J heat from the hot reservoir and delivers 180 J180\text{ }J heat to the cold reservoir per cycle, is ____\_\_\_\_ K.
  5. Question 5

    27 Jun 2022

    21
    In a carnot engine, the temperature of reservoir is 527∘C527^{\circ}C and that of sink is 200 K200\text{ }K. If the workdone by the engine when it transfers heat from reservoir to sink is 12000 kJ12000\text{ }kJ, the quantity of heat absorbed by the engine from reservoir is ____×106 J\_\_\_\_ \times10^{6}\text{ }J.
  6. Question 6

    29 Jun 2022

    26
    300cal300cal. of heat is given to a heat engine and it rejects 225 cal. of heat. If source temperature is 227∘C227^{\circ}C, then the temperature of sink will be ____ ∘C\_\_\_\_\ ^{\circ}C.
  7. Question 7

    8 Apr 2023

    102
    Work done by a Carnot engine operating between temperatures 127∘C127^{\circ}C and 27∘C27^{\circ}C is 2 kJ2\text{ }kJ. The amount of heat transferred to the engine by the reservoir is:

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