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Question

Hydrogen ion concentration of an aqueous solution is 1×10−4M. The solution is diluted with equal volume of water. Hydroxyl ion concentration of the resultant solution in terms of mol dm−3 is __________.

A
1×108
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B
1×106
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C
2×1010
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D
0.5×1010
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Solution

The correct option is C 2×10−10Concentration of aqueous solution=10−4MIf we add equal volume, let say V of water. The final volume of solution will be 2V. The new concentration is⇒M1V1=M2V2⇒10−4M×V=M2×2V⇒M2=5×10−5M⟶New concentration of [H+].pH=−log[H+]=−log[5×10−5]⇒pH=4.3⇒pOH=14−pH=9.69⇒−log[OH−]=9.69⇒[OH−]=10−9.69=2×10−10Thus the concentration of [OH−] is 2×10−10M.

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