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10 April, 20:34

Indicate whether the following statements are true or false for a reversible isothermal process: (A) Q=T (∆S). (B) ∆U=0. (C) The entropy change of the system is always zero. (D) The total entropy change of the system and the surroundings is zero. (E) Q=W. (F) The entropy change of the environment is negative. (G) The total entropy change of the system and the surroundings is negative.

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  1. 10 April, 21:07
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    A) True

    B) True

    C) False

    D) True

    E) True

    F) False

    G) False

    Explanation:

    Reversible - isothermal process:

    We know that a process called reversible if when this process will be revers then it will not leave any effect on surrounding will return in original state.

    A process is called isothermal process if, initial and final temperature is same.

    A)

    Q=TΔS

    Yes it is true for reversible and isothermal process.

    B)

    ΔU = 0

    For isothermal process ΔU = 0.

    It is true only for ideal gas.

    C) The entropy change of system can be positive, negative.

    So it is false.

    D)

    We know that

    Entropy change of universe = Entropy change of system + Entropy change of surrounding.

    For reversible process

    Entropy change of universe = 0

    So it is true.

    E)

    From first law

    Q = ΔU + W

    For isothermal process ΔU = 0. (only for ideal gas)

    ⇒Q = W

    So it is true.

    F)

    The entropy change of surrounding can be positive, negative.

    So it is false.

    G) We know that total entropy change of universe given as

    Entropy change of universe = Entropy change of system + Entropy change of surrounding.

    For reversible process

    Total Entropy change of universe = 0

    So it is false.
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