An ideal gas is held in a canister of volume V, at pressure P, and temperature T. Subsequently, the movement of a piston doubles the volume

Question

An ideal gas is held in a canister of volume V, at pressure P, and temperature T. Subsequently, the movement of a piston doubles the volume (to 2 V), while the temperature is also doubled (to 2 T), in absolute units (e.g. Kelvin). What is the new pressure

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Trung Dũng 1 year 2021-08-23T12:31:48+00:00 1 Answers 9 views 0

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    2021-08-23T12:33:24+00:00

    Using the ideal gas law we can determine this:

    PV = nRT

    n and R are constants but V and T are doubled:

    that is the same as multiplying the entire equation by 2:

    2(PV) = 2(nRT)

    Therefore if we distribute we can get what is wanted:

    P*2V = n*R*2T

    Which then shows that pressure would stay constant if temperature and volume were to both double.

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