Register to reply

Partial molar volume of ideal gas and Gibb's theorem

by Maylis
Tags: gibb, ideal, molar, partial, volume
Share this thread:
Maylis
#1
Apr12-14, 05:21 PM
PF Gold
P: 469
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
Phys.Org News Partner Engineering news on Phys.org
Researchers discover cool-burning flames in space, could lead to better engines on earth (w/ Video)
Professors object to FAA restrictions on drone use
UConn makes 3-D copies of antique instrument parts
Maylis
#2
Apr12-14, 05:25 PM
PF Gold
P: 469
Click image for larger version

Name:	ImageUploadedByPhysics Forums1397341541.099591.jpg
Views:	7
Size:	82.2 KB
ID:	68601
Chestermiller
#3
Apr12-14, 09:39 PM
Sci Advisor
HW Helper
Thanks
PF Gold
Chestermiller's Avatar
P: 5,056
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


Register to reply

Related Discussions
Molar Ratio of Two Ideal Gases Engineering, Comp Sci, & Technology Homework 5
Ideal gases and partial volume Classical Physics 16
Posted this on PF the other day to no avail. Molar mass, pressure, volume, ideal gas Introductory Physics Homework 10
Molar Volume and Molal Volume Biology, Chemistry & Other Homework 1
Ideal Gas Law/Molar Mass Introductory Physics Homework 3