Answer : The  pH of the solution is, 4.2
Explanation : Given,

Concentration of  = 0.10 M
 = 0.10 M
Concentration of  = 0.030 M
 = 0.030 M
First we have to calculate the value of  .
.
The expression used for the calculation of  is,
 is,

Now put the value of  in this expression, we get:
 in this expression, we get:



Now we have to calculate the pH of buffer.
Using Henderson Hesselbach equation :
![pH=pK_a+\log \frac{[Salt]}{[Acid]}](https://tex.z-dn.net/?f=pH%3DpK_a%2B%5Clog%20%5Cfrac%7B%5BSalt%5D%7D%7B%5BAcid%5D%7D)
![pH=pK_a+\log \frac{[CH_3CO_2K]}{[CH_3CO_2H]}](https://tex.z-dn.net/?f=pH%3DpK_a%2B%5Clog%20%5Cfrac%7B%5BCH_3CO_2K%5D%7D%7B%5BCH_3CO_2H%5D%7D)
Now put all the given values in this expression, we get:


Therefore, the pH of the solution is, 4.2