Ionic EquilibriumHard

Question

A weak acid (HA) after treatment with 12 mL of 0.1 M strong base (BOH) has a pH of 5. At the end point, the volume of same base required is 27 mL. Ka of acid is (log2 = 0.3)

Options

A.1.8 × 10-5
B.8 × 10-6
C.1.8 × 10-6
D.8 × 10-5

Solution

m. moles of HA taken = 27 × 0.1 = 2.7
         HA   +  OH-  A-  + H2O
t=0    2.7     1.2
teq    1.5     -        1.2
pH = pKa + log ⇒  5 = pKa + log = pKa + log
∴  pKa = 5.1   ⇒   Ka = 8 × 10-6.

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