An engineering word problem uses the following equilibrium equation:
L' * ((Xa0)/(1-Xa0)) + V' * ((Ya2)/(1-Ya2)) = L' * ((Xa1)/(1-Xa1)) + V' * ((Ya1)/(1-Ya1))
Given the information in the problem statement, I have solved for L', V', Xa0, and Ya2 - leaving me with:
20 = 300 * ((Xa1)/(1-Xa1)) + 80 * ((Ya1)/(1-Ya1))
I was able to solve for a relation between Ya1 and Xa1:
Ya1 = (0.142 * 10^4) Xa1; leaving me with:
20 = 300 * ((Xa1)/(1-Xa1)) + 80 * ((0.142*10^4 Xa1)/(1-(0.142*10^4 Xa1)))
For the life of me, I can't quite isolate Xa1 properly to obtain a value. Once I determine Xa1, I can substitute it back in to solve for Ya1. Any help on how to solve for Xa1 would be great!
Thanks!
L' * ((Xa0)/(1-Xa0)) + V' * ((Ya2)/(1-Ya2)) = L' * ((Xa1)/(1-Xa1)) + V' * ((Ya1)/(1-Ya1))
Given the information in the problem statement, I have solved for L', V', Xa0, and Ya2 - leaving me with:
20 = 300 * ((Xa1)/(1-Xa1)) + 80 * ((Ya1)/(1-Ya1))
I was able to solve for a relation between Ya1 and Xa1:
Ya1 = (0.142 * 10^4) Xa1; leaving me with:
20 = 300 * ((Xa1)/(1-Xa1)) + 80 * ((0.142*10^4 Xa1)/(1-(0.142*10^4 Xa1)))
For the life of me, I can't quite isolate Xa1 properly to obtain a value. Once I determine Xa1, I can substitute it back in to solve for Ya1. Any help on how to solve for Xa1 would be great!
Thanks!