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Question

The number of moles of Ca(OH)2 that is dissolved to produce 250 mL of an aqueous solution of pH 10.0, assuming complete dissociation, is x×105. Determine the value of x.

A
1.3
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B
1.25
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C
1.2
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Solution

Let a mole of Ca(OH)2 be dissolved in 250 mL solution to have pH=10.0
[Ca(OH)2]=a×1000250=4a M
On complete ionization,
Ca(OH)2Ca2++2OHInitial moles4a00Final moles 04a2×4a
[OH]=8a M[H+]=10148apH=log[H+]10.0=log10148a10148a=1010a=0.125×104 moles=1.25×105

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