Ivan E E. answered 04/16/15
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Chemistry, Math, Physics & Spanish by a Chemist graduate
I think that the Molarity is 17.4 is it? So 17.4M glacial acetic acid.
Using the pH equation (Henderson-Hasselbalch) you have:
pH = pKa+log([base]/[acid]) ; Ka for acetic acid is 1.8x10-5 so pKa = -logKa = 4.74 ; since pH = 5.2 and you solve the equation to get the ratio of [base]/[acid] then:
[base]/[acid] = 2.88
since [acid] + [base] = 20mM then ===> [base] = 2.88[acid] ===> [acid] + 2.88[acid] = 20mM
[acid] = 5.15 mM
[base] = 14.85 mM
Then since you have 500ml of the buffer it will make it M=mol/V or mol = M.V so
mmol of acid = 2577 mmol of Acetic acid
mmol of base = 7423 mmol of acetate ion
converting these mmol to grams through molecular mass (60.05 g/mol for Acetic acid and 82.03 g/mol for sodium acetate) you will need:
155g of Acetic Acid
609 g of Sodium acetate
As for an alternate way of preparing this buffer what you would need is to make a solution of sodium acetate which will get a basic pH. If you neutralize it by adding a concentrated strong acid such as HCl or H2SO4 you will make the sodium acetate react with the H3O+ ions coming from these acids forming acetic acid. Once you have enough acetic acid then you will have yourself a buffer since you will have acetate ion and its conjugate acid the acetic acid which happens to be a weak acid. The amount of strong acid depends on the pH you want to get.