Answer : The pH of the solution is, 5.01
Explanation :
For acetic acid :
![pK_a=4.75](https://img.qammunity.org/2021/formulas/chemistry/college/89j3myel8elowcsfogobxz7on9n6uxgxgh.png)
First we have to calculate the concentration of acetic acid and sodium acetate.
Concentration of acetic acid (Acid) =
![(Moles)/(Volume)=(0.12mol)/(1.00L)=0.12M](https://img.qammunity.org/2021/formulas/chemistry/college/i5vnr9hmhcddz3fc8wwb4k95uwfwluihiv.png)
Concentration of sodium acetate (salt) =
![(Moles)/(Volume)=(0.22mol)/(1.00L)=0.22M](https://img.qammunity.org/2021/formulas/chemistry/college/im9xmyiiqriu64pqtwf3746v0e56t0gfqc.png)
Now we have to calculate the pH of the solution.
Using Henderson Hesselbach equation :
![pH=pK_a+\log ([Salt])/([Acid])](https://img.qammunity.org/2021/formulas/biology/college/z944fnahhldpjolfrvealc6q9baj5h69q3.png)
Now put all the given values in this expression, we get:
![pH=4.75+\log ((0.22)/(0.12))](https://img.qammunity.org/2021/formulas/chemistry/college/ozldpxow575y5y2pnmqo10415oj2a41r5z.png)
![pH=5.01](https://img.qammunity.org/2021/formulas/chemistry/college/ticj2oc1bgvs3bdp72be2s9ihruzh0fmh3.png)
Therefore, the pH of the solution is, 5.01