Answer:
Milli moles of acetate = 43.65 mmol
Step-by-step explanation:
The pH of a buffer solution is calculated using Henderson Hassalbalch's equation, which is:
![pH=pKa+log([salt])/([acid])](https://img.qammunity.org/2020/formulas/chemistry/middle-school/xlklcv7b1496sz2ozqct518piznfdmytqu.png)
Where
[Salt] = concentration of salt (sodium acetate, the conjugate base)
[acid] = concentration of acid (acetic acid) = 10 mmol
pH = 5.39
For acetic acid
pKa =4.75
Putting values
![5.39=4.75+log([acetate])/([10mmol])](https://img.qammunity.org/2020/formulas/chemistry/high-school/f04th2hl0gfhw2ittz9db896dm01tf4pai.png)
![0.64=log([acetate])/(10)](https://img.qammunity.org/2020/formulas/chemistry/high-school/boaa4n8zz6irb7752o765rev4qln984kk3.png)
Taking antilog
![4.365=([acetate])/(10)](https://img.qammunity.org/2020/formulas/chemistry/high-school/dog1qarqneiknjr7k8cmtjycxhjq56iyey.png)
moles of acetate = 43.65 mmol