Answer: The concentration of hydroxide ions at this temperature is [tex]7.16\times 10^{-7}[/tex]
Explanation:
When an expression is formed by taking the product of concentration of ions raised to the power of their stoichiometric coefficients in the solution of a salt is known as ionic product.
The ionic product for water is written as:
[tex]K_w=[H^+][OH^-][/tex]
[tex]5.13\times 10^{-13}=[H^+][OH^-][/tex]
As [tex][H^+]=[OH^-][/tex]
[tex]5.13\times 10^{-13}=x^2[/tex]
[tex]x=7.16\times 10^{-7}[/tex]
The concentration of hydroxide ions at this temperature is [tex]7.16\times 10^{-7}[/tex]