Given the equation for Roaults law and Antoine equation for 2 species I need to recast these into a pair of coupled non linear equations to compute the mole fraction of species one and the temperature for given values of vapor fraction and the total pressure, Antoines constants are also given.
These paired equations are eventually used in a 2x2 Jacobian so I am assuming that will have the mole fraction in terms of vapor fraction and total pressure, as well as the Temperature in terms of vapor fraction and total pressure.
Raoults Law: x(1)*P(1_sat)=y(n)*P(total)
Antoine Equation: log(base10)(Psat of species i) = Ai - (Bi/(T + Ci) where Ai,Bi,Ci are constants
The Attempt at a Solution
I have no clue how to separate these
Thank you so much for your help!!