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Consider the titration of 25.0 mL of 0.116-M of KX with 0.144-M HCl. The pK a of

ID: 503640 • Letter: C

Question

Consider the titration of 25.0 mL of 0.116-M of KX with 0.144-M HCl. The pKa of HX = 10.67. Give all pH values to 0.01 pH units.

a) What is the pH of the original solution before addition of any acid?

pH =

b) How many mL of acid are required to reach the equivalence point?

VA =

c) What is the pH at the equivalence point?

pH =

d) What is the pH of the solution after the addition of 11.7 mL of acid?

pH =

e) What is the pH of the solution after the addition of 24.1 mL of acid?

pH =

k -XX"x-)x-* )#7 *

Explanation / Answer

pKa of HX = 10.67

a)

It is a salt of strong base and weak acid. so pH > 7

pH = 7 + 1/2 (pKa + log C)

      = 7 +1/2 (10.67 + log 0.116)

      = 11.87

pH = 11.87

b) at equivalence point :

millimoles of salt = millimoles of acid

25 x 0.116 = 0.144 x V

Volume of acid = 20.1 mL

c)

KX    +     HCl <-------------->    KCl +    HX

2.9        2.9                           0           0

0            0                            2.9       2.9

here only HX is remained.

concentration of [HX] = 2.9 / 25 + 20.1 =0.0643 M

pH = 1/2 (pKa - log C)

     = 1/2 (10.67 - log 0.0643)

pH = 5.93

d)

millimoles of acid = 11.7 x 0.144 = 1.68

KX    +     HCl <-------------->    KCl +    HX

2.9       1.68                           0           0

1.22       0                            1.68     1.68

pH = pKa + log [salt / acid]

     = 10.67 + log [1.22 / 1.68]

    = 10.53

pH = 10.53

e)

millimoles of acid = 24.1 x 0.144 = 3.47

KX    +     HCl <-------------->    KCl +    HX

2.9       3.47                           0           0

0     0.57                          2.9         2.9

[HCl] = 0.57 / (24.1 + 25) = 0.116

pH = -log [H+] = -log (0.116)

pH = 1.94