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Acetic acid is a weak acid with a pKa of 4.75. Set up a titration using 20.00 mL

ID: 1004897 • Letter: A

Question

Acetic acid is a weak acid with a pKa of 4.75. Set up a titration using 20.00 mL of acetic acid solution to 20mL strong base NaOH.

Concentration of NaOH soln: 9.878x10^-2 mol/L

Initial buret reading (mL): 0.00

Buret reading at equivalence pt (mL): 21.51

Calculate the following:

a.) Moles of NaOH added at equivalence pt

b.) Moles of acetic acid in sample

c.) Acetic acid concentration (mol/L)

d.) pH at equivalence point

e.) pH at half the volume required to reach equivalnce

f.) pKa of acetic acid

Thank you!

Explanation / Answer

a) Molarity of NaOH= 21.51ml, moles of NaOH at equivalence point = molarity* Volume (L) = 9.878*10-2*21.51/1000=0.002125 moles

b) The reaction between CH3COOH and NaOH is CH3COOH + NaOH----> CH3COONa + H2O

moles of acetic acid =0.002125 concentration = 0.002125*1000/20 =0.1062 moles of sodium acetate formed = 0.002125 moles and concentration = 0.002125*1000/21.5+20)=0.0512M

c) CH3COO- + H2O -----------> CH3COOH + OH-

initially 0.0512                            0                   0

change -x                                      x              x

eq. 0.0512-x                          x            x

x2/(0.512-x)= Kb= Kw/Ka, Pka of acetic acid =4.75, Ka=

10-14/ 1.8*10-5   =5.55*10-10 = x2/ (0.0512-x), when solved, x= 5.72*10-6, pOH=5.24, pH= 14-5.24= 8.76

half the volume of NaOH= 21.51/2= 10.755, moles of NaOH= 9.878*10-2*10.755/1000=0.001062

moles of CH3COOH consumed = 0.001062, moles of CH3COOH remaining = 0.002125-0.001062= 0.001063

moles of CH3COONa formed =0.001063

pH= 4.75 + log (0.001062/0.001063)= 4.56