Wow...
just wow...
How can you be so ing stupid?
pH has little to do with differences, because it changes so little. Why are you bringing up pH? Why are you going off on some stupid tangent again? Your "k" factor also changes little over the long term.
From your link:
Also from your link:
Now I thought it was only about 3.1% per degree, but your link says it's more. I guess I could be misunderstanding what they mean.
Why can't you accept, the the oceans have a sourcing flux of about 90 GtC and a sinking flux of about 94 GtC, and that temperature has a notable effect on this. An increase in global temperature both increases the sourcing and decreases the sinking. Your link with the formula is a simplified formula for approximation. Look what it does.
I don't think you understand how all this works. Maybe these will help:
Appendix A
Calculations
A New Formula for the Effect of Temperature on the Partial Pressure of CO 2 in Seawater
Now before you dismiss the water vapor one, keep in mind the immediate humidity in the fractions of a centimeter above a water surface.