4.2 X [tex]10^{-12}[/tex] moles/litre is the hydroxide ion concentration of the solution if hydrogen-ion concentration of 2.3x[tex]10^{-3}[/tex].
Explanation:
Data given:
hydrogen ion concentration = 2.3 X [tex]10^{-3}[/tex]
Hydroxide ion concentration =?
first the pH of the solution is calculated by using the formula:
pH = - log[[tex]H^{+}[/tex]]
Putting the values in the equation,
pH = - [tex]log_{10}[/tex] [2.3 X [tex]10^{-3}[/tex]]
pH = 2.63
Now from the relation we will find the pOH of the solution:
14 = pOH + pH
14 - pH = pOH
14 - 2.63 = pOH
11.37 = pOH
now using the formula to calculate OH ions in the solution as:
pOH = -[tex]log_{10}[/tex] [[tex]OH^{-}[/tex]]
[[tex]OH^{-}[/tex]] = [tex]\frac{1}{10^{pOH} }[/tex]
= 4.2 X [tex]10^{-12}[/tex] moles/litre is the hydroxide ion concentration of the solution.
