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
![pH+pOH=14](https://img.qammunity.org/2023/formulas/chemistry/college/bj01o3136xu1x6jf7yaoy37iteqg8pfmyb.png)
Now, using the given information, we know that pH = 11.8
Then, replacing the value in the formula
![11.8+pOH=14](https://img.qammunity.org/2023/formulas/chemistry/college/nocwwqowd7yijzdgee2dl4rw7ffu6lgalf.png)
Solving for pOH,
![\begin{gathered} pOH=14-11.8 \\ pOH=2.2 \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/8uwwcnwxzcc3vl4nkley2pxoo9wsptcpr9.png)
The concentration of OH- ions is given by
![pOH=-log\lbrack OH^-\rbrack](https://img.qammunity.org/2023/formulas/chemistry/college/xws6pvhmsvm4aq22dybxnljz4t0f06k3nk.png)
Replacing the value of pOH,
![2.2=-log\lbrack OH^-\rbrack](https://img.qammunity.org/2023/formulas/chemistry/college/iz3fp3w8mw35zgp5yb66v06covrhpeel0e.png)
Finally, solving for OH-
![\begin{gathered} -2.2=log\lbrack OH^-\rbrack \\ OH^-=10^(-2.2) \\ OH^-=6.31*10^(-3) \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/thmsu3k7maeke0i8rrfsoa887jj60fsf0k.png)
Hence, concentration of OH- is 6.31 x 10^-3 M
ANSWER:
6.31 x 10^-3 M