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First law with rates: heat supplied, power delivered and internal energy

This type of question, asked 2 times: 2021 Paper 18, 6 Apr 2023. All 2 questions below, oldest first.

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  1. Question 1

    2021 Paper 18

    6
    An electric appliance supplies 6000 J/min6000\text{ }J/min heat to the system. If the system delivers a power of 90 W90\text{ }W, how long would it take to increase the internal energy by 2.5×103 J2.5\times10^{3}\text{ }J?

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  2. Question 2

    6 Apr 2023

    5
    A source supplies heat to a system at the rate of 1000 W1000\text{ }W. If the system performs work at a rate of 200 W200\text{ }W. The rate at which internal energy of the system increases

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