Given :
pH of solution of mixture of lactic acid and lactate is 4.26 .
To Find :
![log( \frac{[ \text{Conc. of lactate}]}{[\text{Conc . of lactic acid }]}) = 0.4](https://img.qammunity.org/2021/formulas/chemistry/high-school/2qm0n2ejl1mdszlgjqhi29jfmz5flm233m.png)
The ratio of the lactate concentration to the lactate .
Solution :
We know , pKa of lactic acid is :
pKa = 3.86 .
Now , the solution of lactic acid and lactate is a buffer solution .
So , pHof buffer acid is given by :
![pH=pKa+log(([Salt])/([Acid]))](https://img.qammunity.org/2021/formulas/chemistry/high-school/4dvkplobvqvns2jnmg5uohcgvc6wqu2xc3.png)
Putting all given values :
![log( \frac{[ \text{Conc. of lactate}]}{[\text{Conc . of lactic acid }]}) = 0.4](https://img.qammunity.org/2021/formulas/chemistry/high-school/2qm0n2ejl1mdszlgjqhi29jfmz5flm233m.png)
Taking anti log both the sides , we get :
![\frac{[ \text{Conc. of lactate}]}{[\text{Conc . of lactic acid }]} = 2.51](https://img.qammunity.org/2021/formulas/chemistry/high-school/we72g4stzxwco7yxlukh86wfjhmjutg8ts.png)
Therefore , the ratio of the lactate concentration to the lactate is 2.51 .
Hence , this is the required solution .