what effects on Ph and the Ka value does the hydration of an acid have? For example H2SO4 versus H2SO4*H2O

I THINK, and another tutor may confirm this (or disagree), but I think that k2 for H2SO4 remains the same. If k2 stays the same then the pH would not change. Check my thinking. I have some reservations about the answer; however, the amount of water being added as a result of the hydrated acid molecule surely is so much less than the volume of water which is being used for the dilution of the acid that the hydrated water is small enough to be of little consequence.