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Question

At 25C, the dissociation constant of a base BOH is 1.0 × 1012. The

concentration of Hydroxyl ions in 0.01 M aqueous solution of the base

would be


A

2.0 × 106molL1

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B

1.0 × 105molL1

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C

1.0 × 106molL1

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D

1.0 × 107molL1

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Solution

The correct option is D

1.0 × 107molL1


BOH B++OH

Initially,
BOH = C, B+ = 0 and OH = 0

At Equilibrium
BOH = C Cα, B+ = Cα and OH = Cα

Kb = C2α2C(1α) = Cα2 assuming α<<1; 1 α 1
1012 = 102 × α2; α2 = 1010; α = 105
OH = Cα = 0.01 × 105 = 107


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