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Question about Kw, ion product constant of water? ?
At 0C the ion product constant of water, Kw, is 1.2x10^-15. The pH of pure water at this temperature is:
a) 6.88
b) 7
C) 7.46
d) 7.56
I got that the answer was C by looking up Kw at different temperatures. How can I solve the problem without looking up the Kw value?
Thanks!
3 Answers
- Johnny DLv 71 decade agoFavorite Answer
Kw=[H+][OH-]
pure water has [H+]=[OH-] so
Kw=[H+][H+] or Kw=[OH-][OH-] or simply Kw=x²
1.2x10^-15=x²
x=√(1.2x10^-15)
=3.46x10^-8=[H+]
pH=-log[H+]
=-log(3.46x10^-8)
=7.46
- ?Lv 45 years ago
Yes, the ion product constant of water changes with temp. With increase in temp. Kw increases and with decrease in temp.Kw decreases. At 10 deg. C Kw is the square of H+ ion conc.: Kw = 5.431 x 5.431 x 10^-16 Kw = 29.5 x 10^-16 Kw = 2.95 x 10^-15
- ChrisLv 71 decade ago
You have to know, or be given, the fact that at 0ºC, the Kw is 1.2x10^-15. Then you say that x² = 1.2x10^-15 or x = 3.5x10^-4. Taking logs of both sides gives you lg(x) = -7.46 and pH = 7.46