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13. Challenge question (optional): An alternative way of making Buffer#2 pH 5.40

ID: 1017006 • Letter: 1

Question

13. Challenge question (optional): An alternative way of making Buffer#2 pH 5.40 would be to add a certain amount of NaOH to the acetic acid solution. Calculate how many mL of 0.50 M NaOH solution would need to be added to 20.0 mL of your concentration acetic acid solution to make a pH 5.40 buffer O1200 M (lr time permits, measure the actic acid solution into a beaker and slowly add the 0.50 M NaOH (If time permits, measure the acetic acid solution into a beaker and slowly add the 0.50 M NaoH with stirring while monitoring the pH. Stop when the pH is 5.40 and record the mL of NaOH used. Did it match the volume you calculated?) 13. (optional) mL of 0.50 M NaOH +20.0 mL of youro200 MCH COOH Calculation: Buffer #2 desired pH-5.40 Actual pH Tot (if time permits)

Explanation / Answer

CH3COOH + OH ---> CH3COO- + H20

we know that

for buffers

pH = pKa + log [conjugate base / acid]

in this case

pH = pKa + log [CH3COO-/CH3COOH]


given

pH = 5.4

pKa for acetic acid is 4.76

so

5.4 = 4.76 + log [CH3COO- / CH3COOH]

[CH3COO- / CH3COOH] = 4.36516

now

let y ml of NaOH is added

we know that

moles = cocentration x volume (ml) / 1000

moles of CH3COOH = 0.2 x 20 / 1000 = 0.004

moles of NaOH added = 0.5 x y / 1000 = 0.0005y

now

consider the reaction

CH3COOH + OH- ---> CH3COO- + H20

we can see that

moles of CH3COOH reacted = moles of OH- added = 0.0005y

moles of CH3COO- formed = moles of OH- added = 0.0005y

now

finally

moles of CH3COOH remaining = 0.004 - 0.0005y

now

[CH3COO- / CH3COOH] = 4.36516

now

cocentration = moles / volume (L)

as the final volume is same for both CH3COOH and CH3COO-

so

ratio of concentrations = ratio of moles

so

0.0005y/ (0.004-0.0005y) = 4.36516

0.0005y = 4.36516 (0.004-0.0005y)

y = 6.51

so

6.51 ml of NaOH should be added

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