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Anonymous
Anonymous asked in Science & MathematicsChemistry · 1 decade ago

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

Relevance
  • 1 decade ago
    Favorite 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 4
    5 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

  • Chris
    Lv 7
    1 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

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