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    mumtahil's Avatar
    mumtahil Posts: 2, Reputation: 1
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    #1

    Oct 13, 2010, 10:08 PM
    prove that cp-cv=r
    prove that cp-cv=r
    mumtahil's Avatar
    mumtahil Posts: 2, Reputation: 1
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    #2

    Oct 13, 2010, 10:08 PM
    My ans is 4
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #3

    Oct 14, 2010, 05:46 AM

    How can your answer be 4 if it asks you to prove something? :rolleyes:

    I have a link where I proved this some months ago:

    https://www.askmehelpdesk.com/physic...ml#post2566584

    If you have something to say, post in your thread and not there please.
    anwar jamal's Avatar
    anwar jamal Posts: 1, Reputation: 1
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    #4

    Nov 2, 2013, 02:14 AM
    Consider a thermodynamic process in which a gas is heated.
    Case 1:constant volume:
    DU=Q+dW
    Here dW = 0
    Hence dU=Q=Cp.dT... (1) (from definition)

    Case 2:at constant pressure, gas is heated so that the same change in internal energy takes place.
    Then dU = Q + dW
    Q = Cv.dT
    Hence dU = Cv.dT + R.dT (dW = p.dV = R.dT)
    Substituting from (1), we get
    Cp.dT = Cv.dT + R.dT
    =>Cp = Cv + R,
    Which is the required result

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