Answer:
![pH = 9.39](https://img.qammunity.org/2021/formulas/chemistry/high-school/ahp7knsbekonkfka5gyj2jhugkl2jc9hzl.png)
Step-by-step explanation:
We will first derive the volume of base to reach the equivalence point.
As we know that
![m_1V_1 = m_2 V_2](https://img.qammunity.org/2021/formulas/chemistry/high-school/nab9jfksg6e1cf9pd64l6aijtbgjtlz7oa.png)
Substituting the given values we get
![0.01 * V_1 = 0.02 * 45\\V_1 = 90](https://img.qammunity.org/2021/formulas/chemistry/high-school/fubi7gwa4lenqgi0azvx4xu5jwxi4j9w00.png)
Concentration of slat formed
![(0.02 * 45 )/(45 + 90) \\= 0.067](https://img.qammunity.org/2021/formulas/chemistry/high-school/x1bkt8flhag0vebkux2n88ooi6nw93dwgd.png)
H+ ion concentration is equal to
![\sqrt{(K_w * K_c )/(C) }](https://img.qammunity.org/2021/formulas/chemistry/high-school/8hwv2i5ariaf7tdjdzb7q87wmd31qu337y.png)
Substituting the given values in above equation, we get -
![= \sqrt{(10^(-14) * 1.8* 10^(-5))/(0.067) } \\= 4.047 *10^(-10)](https://img.qammunity.org/2021/formulas/chemistry/high-school/s2c2i3oh5f0x3z6mleby8pjxi7mt8mh575.png)
![pH = -log [H^+]](https://img.qammunity.org/2021/formulas/chemistry/college/xa144nmf94yab1614tqi33k1rma1zeqe9n.png)
![pH = 9.39](https://img.qammunity.org/2021/formulas/chemistry/high-school/ahp7knsbekonkfka5gyj2jhugkl2jc9hzl.png)