Find an analytic expression for p(V)p(V)p(V), the pressure as a function of volume, during the adiabatic expansion.

Question

Find an analytic expression for p(V)p(V)p(V), the pressure as a function of volume, during the adiabatic expansion.

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Gerda 4 years 2021-08-10T12:48:08+00:00 1 Answers 111 views 0

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  1. Maris
    0
    2021-08-10T12:50:02+00:00
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    Answer:

    In an adiabatic process we have

    pV γ = const..

    This explains that the pressure is a function of volume, p ( V ) ,

    So can be written as:

    p ( V ) × V γ = p 0 V γ 0 ,

    or p ( V ) = p 0 V 0 / V γ

    = p 0 V 0 / V ^(7 / 5)

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