At moderate but not high pressures, the vapor phase of a binary mixture can be described by

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At moderate but not high pressures, the vapor phase of a binary mixture can be described by the following virial equation of state truncated at the second virial coefficient 

with PV mix RT =1+ Bmix V mix Bmix = yB11 + 2y1y2 B12 + yB22

Write the expression for the vapor-phase fugacity of each species in this mixture in a form that contains only the temperature, the pressure, the composition and the virial coefficients, but does not contain the volume.

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