INFORMATION:
We know that:
- A solution of ammonia has a pH of 11.8
And we must find the concentration of OH– ions in the solution
STEP BY STEP EXPLANATION:
To find it, we need to know that pH & pOH are related by the following equation
[tex]pH+pOH=14[/tex]Now, using the given information, we know that pH = 11.8
Then, replacing the value in the formula
[tex]11.8+pOH=14[/tex]Solving for pOH,
[tex]\begin{gathered} pOH=14-11.8 \\ pOH=2.2 \end{gathered}[/tex]The concentration of OH- ions is given by
[tex]pOH=-log\lbrack OH^-\rbrack[/tex]Replacing the value of pOH,
[tex]2.2=-log\lbrack OH^-\rbrack[/tex]Finally, solving for OH-
[tex]\begin{gathered} -2.2=log\lbrack OH^-\rbrack \\ OH^-=10^{-2.2} \\ OH^-=6.31\times10^{-3} \end{gathered}[/tex]Hence, concentration of OH- is 6.31 x 10^-3 M
ANSWER:
6.31 x 10^-3 M