Page 123 - Chemical equilibria Volume 4

and:
⎛ β + u 2∑ β ⎞ Molecular Chemical Equilibria 99
−
x 32u = ⎜ − 2 y ⎜ 1 2 1 i ⎟ ⎟ [3.96]
⎝ β 3 ⎠
At the intersection of the two lines, the values of the x and y coordinates
are the same, which, if we subtract the two equations [3.95] and [3.96], term
by term, leads us to:

∑ β
( 2 u − u 1 ) 2y= I i (u − u 1 ) [3.97]
2
2
β
3
This gives us the coordinates of the intersection:
β
y = 3 [3.98a]
∑ β i
I

and:
β − 2β
x = 3 1 [3.98b]
I
3 ∑ β i

A 3

E

M
A 1
A 2
O
Figure 3.16. Plot of the iso-composition line and the
equilibrium point [SOU 68]

This intersection does not depend on the values of u 1 and u 2, meaning that
the point of intersection O, defined above and whose coordinates are given