Respuesta :
first, we have to know that we can put [H+] instead of [H3O+]
so, according to the reaction equation:
by using ICE table:
H2O ↔ H+ + OH-
initial 0 0
change +X +X
Equ X X
when Kw = [H+] [OH-]
and when we have Kw = 2.4 x 10^-14
and when [H+] = [OH-] = X
∴ 2.4 x 10^-14 = X^2
∴ X = √(2.4 x 10^-14)
= 1.55 x 10^-7
∴[H+] = 1.55 x 10^-7
so, according to the reaction equation:
by using ICE table:
H2O ↔ H+ + OH-
initial 0 0
change +X +X
Equ X X
when Kw = [H+] [OH-]
and when we have Kw = 2.4 x 10^-14
and when [H+] = [OH-] = X
∴ 2.4 x 10^-14 = X^2
∴ X = √(2.4 x 10^-14)
= 1.55 x 10^-7
∴[H+] = 1.55 x 10^-7
The concentration of [ H3O^+] is 1.6 × 10^−7.
We know that the auto-ionization of water occurs as follows;
2H2O(l) ⇄ H3O^+(aq) + OH^-(aq)
The equilibrium constant for the auto-ionization of water is given as follows;
Kw = [ H3O^+] [ OH^-]/[H2O]^2
But water is a pure liquid hence;
Kw = [H3O^+] [ OH^-]
But [H3O^+] = [ OH^-] =
so Kw = [H3O^+] ^2
In this case Kw = 2.4 × 10^−14
[H3O^+] = √Kw
[H3O^+] = √2.4 × 10^−14
[H3O^+] = 1.6 × 10^−7 M
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