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25 August, 09:04

In an isothermal process, 1.59 moles of an ideal gas is compressed to one-fifth of its initial volume at 285 K. What quantity of heat is added to, or removed from, the system during this process

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  1. 25 August, 09:24
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    -6063.54 J of heat is removed from the system during this process.

    Explanation:

    Given that:

    in an isothermal process

    number of moles of an ideal gas = 1.59 moles

    which is compressed to one - fifth of its initial volume

    Let say the initial volume = x

    the final volume will be = x/5

    Temperature = 285 K

    The objective is to determine what quantity of heat is added to, or removed from, the system during this process.

    In an isothermal process;

    q = w

    where;

    w = nRT In (V₂/V₁)

    w = 1.59 * 8.314 * 285 * In (x/5 / x)

    w = 1.59 * 8.314 * 285 * In (1/5)

    w = - 6063.54 J

    Thus; - 6063.54 J of heat is removed from the system during this process.
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