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If I have I have hydrogen-ion concentration of 2.3x10^-3, what is the hydroxide-ion concentration?

Respuesta :

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.