yes that is the equation dear...for more information, look the example i have given out here dear to prove that
Why pH + pOH = 14
Water ungergoes auto- or self-ionization as shown in the following equation.
2 H2O --> H3O+ + OH-
An equilibrium is established between the ions produced and the unionized water. An equilibrium expression can be written for this system.
Kw = [H3O+][OH-]
Kw is used to represent the equilibrium constant for the ionization of water. It is a special notation of the general representation Kc.
The value of Kw when measured at 25°C has been determined to be 1 x 10-14.
Mathematically, if one takes the log of both sides of the equation, remembering that when numbers are multiplied their logs are added, we arrive at the following equation.
log (1 x 10-14) = log [H3O+] + log [OH-]
The log (1 x 10-14) = - 14.
Thus, - 14 = log[H3O+] + log [OH-]
Multiplying both sides of the equation by -1, we get
14 = - log [H3O+] - log [OH-]
The - log [H3O+] is defined as the pH, and the - log [OH-] is defined as the pOH. Substituting into the equation yields the relationship between pH and pOH of a solution.
14 = pH + pOH
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