To prove P= NKT Content



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    To prove P= NKT

    SHOW THAT P = Nv KT
    Where Nv = No of molecules per unit volume
    PROOF
    According to kinetic equation of pressure
    		P = 1/3 r v2 ………………(1)
    		We know that:
    		r = mass / volume
    r = mN / V
    Putting the value of “r” in equation (1)
    		P = 1/3 mN/V v2

    P = 1/3 N/V mv2……………(2)But N/V = no of molecules per unit volume
    i.e.
    N/V = Nv
    Putting the value of N/V in eq (2)
    P = 1/3 Nv mv2
    Multiply and dividing by 2 on R.H.S
    P = 2/3 Nv (1/2mv2)
    P = 2/3 Nv 3/2 KT                      [1/2mv2 = 3/2 KT]
    P = Nv KT

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