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14 October, 09:00

A chamber fitted with a piston can be controlled to keep the pressure in the chamber constant as the piston moves up and down to increase or decrease the chamber volume. The chamber contains an ideal gas at 296 K and 1.00 atm.

What is the work done on the gas as the piston compresses it from 1.00 L to 0.633 L? Express your answer with the appropriate units.

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  1. 14 October, 09:07
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    The work done on the gas is 37J as the piston compresses it from 1.00 L to 0.633 L.

    Explanation:

    Given:

    Ideal gas temperature is 298 K

    Atm=1.00

    The piston compresses from 1.00 L to 0.633 L.

    To Find:

    The Work done on the gas

    Formula:

    W=P (V2 - V1)

    where W is the work done on the gas,

    P is the pressure of the chamber,

    V2 is the second volume of the chamber,

    V1 is the first volume of the chamber.

    Solution:

    W=P (V2 - V1)

    Pressure P is 1 and V2 is 1 and V1 is 0.633

    W = (1*10^5) (1-0.633) * 10^-3

    W=37J

    Therefore the work done on the gas is 37J.
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