Answer: The hydroxide ion concentration in a solution is [tex]1\times 10^{10}M[/tex]
Explanation:
pH or pOH is the measure of acidity or alkalinity of a solution.
pH is calculated by taking negative logarithm of hydrogen ion concentration.
[tex]pH=-\log [H^+][/tex]
[tex]HCl\rightarrow H^++Cl^{-}[/tex]
According to stoichiometry,
1 mole of [tex]HCl[/tex] gives = 1 mole of [tex]H^+[/tex]
Thus [tex]1\times 10^{-4}[/tex] moles of [tex]HCl[/tex] gives =[tex]\frac{1}{1}\times 1\times 10^{-4}=1\times 10^{-4}[/tex] moles of [tex]H^+[/tex]
[tex]K_w=[H^+][OH^-][/tex]
[tex]10^{-14}=[1\times 10^{-4}][OH^-][/tex]
[tex][OH^-]=1\times 10^{10}M[/tex]
Thus the hydroxide ion concentration in a solution is [tex]1\times 10^{10}M[/tex]
