The difficult, to me anyway, problem 15 of chapter 1[1]--solved.  

I really had to learn the concept the variables, in reality, are 10^-x where x typically varies but there are situations when they are equal[see graph and intersection points are when they are equal.] When one x1 > x2 by an order of magnitude, one can assume the !0^-X1 = 0 and remove it from the equation.  

Also, there are times when (H + Kap) is converted to Kap because the problem statement mentioned equations that were located in the strong base section. 

Yes, it took me at least 24 hours. The book[1], does not hold the student's hand. It just said find the result for [H}^2 = KwKa/C +... and find the ... part. 

The answer was available, but concepts mentioned above and more are needed. It is an Indepth problem. Why am I doing this? 

I am an affiliate member of MACA. I want to be useful, CO2 chemistry is omnipresent in Climate Action, and I want to be knowledgeable. I finished the Chapter 1 problem set with a B+ average. Not bad when a Harvard Professor warned the material will be difficult.  

#CarbonDioxide #Chemistry #ChemicalEngineer #ClimateAction #RetiredLife #FriendOfMIT 

References:  

[1] Butler, J. N. (2019). Carbon Dioxide Equilibria and Their Applications. United States: CRC Press. 

{2] MatLab Solution to problem:  
https://drive.google.com/file/d/11rGqZP3TANw8DBqra8GS794Z62g628Ps/view?usp=sharing