By what factor does [OH- ] change when the pH increases by 3.6?

WEBASSIGN HELP! I have no idea how to do this...By what factor does [OH- ] change when the pH increases by 3.6?
By a factor of about 4000.



pH is a logarithmic base 10 scale, that means that for every change of 1 point the amount of the stuff you're measuring (hydrogen/hydroxide ions) changes by a factor of 10.



A change of 3 points therefor means there is a 1000x difference, and a shortcut for working with base 10 logarithms is that every change of .3 slightly less than doubles it. You can use a calculator to get more specific: 3981xBy what factor does [OH- ] change when the pH increases by 3.6?
pH +pOH=14



this means that if pH goes up by 3.6



each pH unit of change is a factor of 10, so



10 X 10 X 10 X 3.98107



So [OH-] change by a factor of 3981.07 thousand



so the pH will be pH 7 + 3.6 = 10.6