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21 August, 04:39

Considering a closed, stationary, rigid container with certain gas inside, the total mass of the gas is 2 kg, and a heating process goes from state 1 with internal energy 100 kJ/kg to state 2 with internal energy 200 kJ/kg. Find the overall heat transfer into the system during the process.

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  1. 21 August, 06:57
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    The overall heat transfer is 200 kJ

    Explanation:

    Q = ∆U + W

    Q is quantity of heat transfer

    ∆U is change in internal energy

    W is work done

    Assuming the process is an isometric process (constant volume) in which work done is 0

    Therefore, Q = ∆U + 0

    Q = ∆U

    ∆U = U2 - U1 = 200 - 100 = 100 kJ/kg

    Total mass of gas = 2 kg

    ∆U = 100 kJ/kg * 2kg = 200 kJ

    Q = 200 kJ
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