In: Chemistry
(a) Which two of the following compounds would you mix to make a buffer of pH 7.45? H3PO4 (FM 98.00), NaH2PO4 (FM 119.98), Na2HPO4 (FM 141.96), and Na3PO4 (FM 163.94)?
NaH2PO4 and Na2HPO4 This is the correct answer for this part.
(b) If you wanted to prepare 1.00 L of buffer with a total
phosphate concentration of 0.0513 M, how many grams of the
two selected compounds would you mix together?
acidic component | _____g |
basic component | ______g |
(c) If you did what you calculated in part (b), you would not get a
pH of exactly 7.45. Explain how you would really prepare this
buffer in the lab.
solution:
The pKa of given acids are
H3PO4 = 2.14
H2PO4- = 7.10
HPO4-2 = 12.32
so we will take a combination of NaH2PO4 and Na2HPO4, as the pKa of NaH2PO4 is nearest to the desired pKa value.
b) The total volume required = 1L
The total concentration required = 0.0513
it means
[NaH2PO4] + [Na2HPO4] = 0.0513 .......(1)
From Hendersen Equations
pH = pKa + log [salt] / [acid] = 7.10 + log [Na2HPO4] / [NaH2PO4] = 7.45
log [Na2HPO4] / [NaH2PO4] = 0.35
[Na2HPO4] / [NaH2PO4] = 2.24 ......(2)
Putting (2) in (1)
2.24 NaH2PO4]+[NaH2PO4] = 0.0513
[NaH2PO4] = 0.0154 M
[Na2HPO4] = 0.050 - 0.0154 = 0.0346 M
as the solution is 1L
so the moles of Na2HPO4 required = 0.0346 moles
Mass of Na2HPO4 = moles X molar mass = 0.0346 moles X 141.96 = 4.91 grams
Moles of NaH2PO4 = 0.0154
Mass of NaH2PO4 = 0.0154 X 119.98 = 1.85 g
c) we will take the salt initially i.e. Na2HPO4, 0.0513moles
It means we will weight out = 0.0513 X 141.96 = 7.28 grams of salt
And will dissolve it in 900mL of water. then we will start adding HCl to it so that HCl will react with the salt to give the weak acid. and will continue adding HCl till we get desired pH. Then we will make up water to 1L.