Respuesta :

Answer : The concentrations of hydroxide and hydronium ions in a solution with a pH of 10.2 are, [tex]1.58\times 10^{-4}[/tex] and [tex]6.3\times 10^{-11}[/tex] respectively.

Explanation : Given,

pH = 10.2

pH : It is defined as the negative logarithm of the hydrogen ion concentration.

First we have to calculate the hydrogen ion concentration [tex](H^+)[/tex]

[tex]pH=-\log [H^+][/tex]

Now put the value of pH in this formula, we get the hydrogen ion concentration.

[tex]10.2=-\log [H^+][/tex]

[tex][H^+]=6.3\times 10^{-11}[/tex]

Now we have to calculate the pOH of the solution.

[tex]pH+pOH=14[/tex]

Now put the value of pH, we get the value of pOH.

[tex]10.2+pOH=14[/tex]

[tex]pOH=14-10.2[/tex]

[tex]pOH=3.8[/tex]

Now we have to calculate the hydroxide ion concentration [tex](OH^-)[/tex]

[tex]pOH=-\log [OH^-][/tex]

Now put the value of pOH in this formula, we get the hydroxide ion concentration.

[tex]3.8=-\log [OH^-][/tex]

[tex][OH^-]=1.58\times 10^{-4}[/tex]

Therefore, the concentrations of hydroxide and hydronium ions in a solution with a pH of 10.2 are, [tex]1.58\times 10^{-4}[/tex] and [tex]6.3\times 10^{-11}[/tex] respectively.

Answer: [tex][H^+]=6.3\times 10^{-11}[/tex]  and [tex][OH^-]=1.58\times 10^{-4}[/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 and pOH is calculated by taking negative logarithm of hydroxide ion concentration.

[tex]pH=-\log [H^+][/tex]

[tex]pOH=-log[OH^-][/tex]

[tex]pH+pOH=14[/tex]

Given pH = 10.2

[tex]10.2=-\log [H^+][/tex]

[tex][H^+]=6.3\times 10^{-11}[/tex]

[tex]pOH=14-10.2=3.8[/tex]

[tex]3.8=-log[OH^-][/tex]

[tex][OH^-]=1.58\times 10^{-4}[/tex]