The virial equation for a binary mixture is Here B 11 and B 22 are the second

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The virial equation for a binary mixture is 

with PV RT 1+ Bmix V + Bmix = yB1 + y2 B22 + 2y1y2B12

Here B11 and B22 are the second virial coefficients for pure species 1 and pure species 2, respectively, and B12 is the cross second virial coefficient. For a binary mixture

a. Obtain an expression for the fugacity coefficient of a species (Eq. 9.4-6).

In fY(T, P,y) Y P = = V yj Bij(T) - In Zmix j 2P Zmix RT ; Bij (T)  In Zmix - j (9.4-6)

b. Show that the activity coefficient for species 1 is

In 181292P/RT

where δ12 = 2B12 − B11 − B22

c. Generalize the results in part (b) to a multicomponent mixture

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