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The dissociation constant (Ka) and percent of degree of dissociation (α) of a weak monobasic acid solution of 0.1 M with a pH = 4, are ____________ respectively. -

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Question

The dissociation constant (Ka) and percent of degree of dissociation (α) of a weak monobasic acid solution of 0.1 M with a pH = 4, are ____________ respectively.

Options

  • 10−7, 0.1

  • 10−9, 0.1

  • 10−7, 0.01

  • 10−5, 0.01

MCQ
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Solution

The dissociation constant (Ka) and percent of degree of dissociation (α) of a weak monobasic acid solution of 0.1 M with a pH = 4, are 10−7, 0.1 respectively.

Explanation:
pH = −log[H+]

∴ [H+] = antilog (−pH)

= antilog (−4)

[H+] = 1 × 10−4 M

A weak monobasic acid (HA) dissociates as,

\[\ce{HA_{(aq)} ⇌ H^+_{( aq)} + A^-_{( aq)}}\]

∴ [H+] = α c

∴ α = `(["H"^+])/"c" = (1 xx 10^-4)/0.1` = 1 × 10−3

∴ Percent of degree of dissociation

= α × 100

= 1 × 10−3 × 100

= 0.1%

Ka = α2c

= (1 × 10−3)2 × 0.1

= 1 × 10−7

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