Step-by-step explanation:
It is known that relation between pH and hydrogen ion concentration is as follows.
pH =
![-log [H^(+)]](https://img.qammunity.org/2018/formulas/chemistry/high-school/yhuny7f00oxtjxsdmnkts3zwu0fowf3edy.png)
As pH is given 9.20 so, calculate the hydrogen ion concentration as follows.
pH =
9.20 =
antilog (-9.20) =
![[H^(+)]](https://img.qammunity.org/2018/formulas/chemistry/high-school/tixcvmiul05vtrn8s7qstptt69zx1u6brh.png)
![[H^(+)] = 6.31 * 10^(-10)](https://img.qammunity.org/2018/formulas/chemistry/college/tl81dn3fzhdsoo1z3ie8nqx0mlfdxvnt7q.png)
As, relation between hydroxide ions and hydrogen ions is as follows.
![[H^(+)] * [OH^(-)] = 10^(14)](https://img.qammunity.org/2018/formulas/chemistry/college/bbu69nsuwrybdstvdc9rmwd9izry1k0ifo.png)
![6.31 * 10^(-10) * [OH^(-)] = 10^(14)](https://img.qammunity.org/2018/formulas/chemistry/college/138jqjqkruioasd0czyory4ppphr63bu1i.png)
![[OH^(-)] = 1.58 * 10^(23)](https://img.qammunity.org/2018/formulas/chemistry/college/sbx8howjgkk3azj9zgjddblasepll66bd2.png)
Thus, we can conclude that the hydroxide ion concentration of a lye solution that has a pH of 9.20 is
.