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Partial molar volume of ideal gas and Gibb's theorem

by Maylis
Tags: gibb, ideal, molar, partial, volume
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Maylis
#1
Apr12-14, 05:21 PM
PF Gold
P: 576
Hello,

I am working on the derivation that proves that the partial molar volume of an ideal gas is equal to the molar volume of an ideal gas.

I am following up to the point in the textbook where they set

(∂n/∂ni)nj = 1

where ni is the number of of moles of species i, and nj is the number of moles of species j ≠ i.

Attached is a photo of the derivation in the textbook
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Maylis
#2
Apr12-14, 05:25 PM
PF Gold
P: 576
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Chestermiller
#3
Apr12-14, 09:39 PM
Mentor
Chestermiller's Avatar
P: 5,370
If n = n1+n2+n3+n4+n5
and you take the partial derivative of n with respect to, say n3 holding all the other subscripted n's constant, what do you get?

Chet


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