There was this exercise which asked to find the OH- concentration given the H+ concentration, i firstly calculated the pH as -log[H+], did 14-pH to find the pOH and then did 10^(-pOH) to find the concentration of OH-.
My textbook used the fact that Kw (water equilibrium constant) is essentially Kw = [OH-] * [H+] so it did [OH-] = Kw/[H+]
The fact is...isn't Kw temperature dependent? My textbook says that it is
25 celsius --> Kw --> 1*10^-14
60 celsius --> 9.61*10^-14
So my question is...why is my procedure temperature independent while the book one temperature dependent? My procedure would always give the same concentration of OH whereas changing the Kw the textbook would also get other ones.