When you're at a KH of 0, you have no CO2/bicarbonate buffer. So the addition of an acid will easily lower your pH, and the addition of a base will easily raise your pH.
A KH of 0 has no relationship to a neutral pH of 7.0. KH is a measurement of your tank water's resistance to pH change, and that's it.
If you want to see the relationship between buffer concentration and pH in mathematical form, you can check out the Henderson-Hasselbalch equation.
Appreciate the reply. The link didn't help much unfortunately as I don't do much chemistry maths. Was there a bit in the link to concentrate on?
I was thinking though that pure water would be at ph of 7 and since it is pure kh would be 0?
Say at that point we lift kh, ph would also lift as H+ is consumed. So the kh is not only resisting change in ph but causing change in ph as well.
Then it seems to me that the more acid a ph, the more kh is used up trying to resist the low ph. So if pure water is in balance at ph of 7, below 7 kh would get used up resisting the ph decrease. It might take time but all the kh would go.
What am I missing? I've been using this link below for reference in case that helps. I understand certain kh buffers will result in a certain ph, what I think I'm missing is what happens in the absence of any kh buffer to ph and when that point in ph will be reached.
http://www.cichlid-forum.com/articles/gh_kh_ph.php
Edit - apologies for the left turn for OP, if this is off track just let us know.