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Heat engine takes 300 J from the hot reservoir and gives some to a cold reservoir: minimum temperature of the hot reservoir

The same question, asked 2 times: 2021 Paper 21*, 26 Jun 2022. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    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.

  2. Question 2

    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.