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kw = [H+][OH-]. Kw =[10^-6][10^-6]. So therefor Kw = 10^-12. Hope it help you
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Answer: The value of K_w at 90^oC is 10^{-12}
Solution:
Concentration of H_3O^+ = 10^{-6}mole/L
The ionization reaction of water is,
H_2 O = H^++OH^-
The expression for equilibrium constant is,
K={[H^+][OH^-]}{[H_2O]} / [H_2O]=[H^+][OH^-]
K_w=[H^+][OH^-]
K_w = equilibrium constant of water
Pure water means the concentration of hydronium ion and hydroxide ion are equal.
[H^+]=[OH^-]=10^{-6}mole/L
Now put all the given values in the expression of equilibrium constant of water, we get
K_w=[H^+][OH^-]
K_w=(10^{-6})\times (10^{-6})=10^{-12}
therefore, the value of K_w at 90^oC is 10^{-12}
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