NCERT Class XI Chemistry Equilibrium Solutions

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Question : 53
Total: 73
Calculate the degree of ionization of 0.05 M acetic acid if its pKa value is 4.74. How is the degree of dissociation affected when its solution also contains
(a) 0.01 M
(b) 0.1 M HCl?
Solution:  
pKa = 4.74
–log Ka = 4.74
Ka = antilog(–4.74) = 1.820 × 105
Cα2 = 1.82 × 105
α2 =
1.82×105
C
=
1.82×105
0.05
= 3.64 × 104 ⇒ α = 1.9 × 102
(a) CH3COOHCH3COO+H+
Initialmolarconc.C00
Eqm.molarconc.C(1α)CαCα

Ka =
[CH3COO][H+]
C

[H+] = 0.01 M
1.82 × 105 =
Cα
C
× 0.01 ⇒ α =
1.82×105
0.01
= 1.82 × 103
(b) [H+] = 0.1 M
1.82 × 105 =
Cα
C
× 0.1 = α × 0.1 ⇒ α = 1.82 × 104
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