Answer:
The new concentration of hydroxide ions is
.
Step-by-step explanation:
Concentration of
ions =
![[H^+]=1* 10^(-7) M](https://img.qammunity.org/2017/formulas/chemistry/high-school/k3lnbwxn9xkpzwde01pq77ortf7rlujnn0.png)
When concentration of
ions changed to

![[H^+]'=1* 10^(-4) M](https://img.qammunity.org/2017/formulas/chemistry/high-school/zlck8tggoticpyt2b2mhjs4r4kg6awfwbu.png)
The pH of the solution will changes to:
![pH=-\log[H^+]'=-\log[1* 10^(-4)]=4](https://img.qammunity.org/2017/formulas/chemistry/high-school/ybyvqd3jot6q07866qsgh78igw82t6b5ty.png)
pH+pOH = 14
pOH = 14 - 4 = 10
And we know that :
![pOH=-\log[OH^-]](https://img.qammunity.org/2017/formulas/chemistry/high-school/bo7gj1bt3egvbzutk67xdpl2r7wbzbg763.png)
![10=-\log[OH^-]](https://img.qammunity.org/2017/formulas/chemistry/high-school/mw7h5mwsfrrlhbhkj0mkj36outm9ivyr99.png)
![[OH^-]=1* 10^(-10) M](https://img.qammunity.org/2017/formulas/chemistry/high-school/4gvarq6xspogm1zha7nfnbsbzzryrhqwty.png)
The new concentration of hydroxide ions is
.