Wouldn't you expect the ionization of water to increase with increase in temperature. I think I would. So Kw would be larger at 100 C.
Second part:
Remember that if
A + B ==> C and K = (A)(B)/(C), then
2A + 2B ==> 2C and K' = (A)^2(B)^2/(C)^2 = K'^2
If we suppose that Kw = 1.0x10^-14 at 25C, would it be larger or smaller at 100C? What is the value of K for the reaction 8H + 8OH = 8H2O at 25C? Would this value be smaller, or larger, at 100C?
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