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Question

Which of the following concentrations of NH+4 will be sufficient to prevent the precipitation of Mg(OH)2 from a solution which is 0.01 M MgCl2 and 0.1 M NH3(aq)? Given that the Ksp of Mg(OH)2=2.5×1011 and Kb for NH3(aq)=2×105.

A
0.01 M
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B
0.02 M
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C
0.03 M
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D
0.04 M
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Solution

The correct option is D 0.04 M
KspMg(OH)2=[Mg2+][OH]2=2.5×1011
[OH]=2.5×10110.01=5×105
now KbNH3=2×105=[NH+4][OH][NH3]
hence
[NH+4]=0.04M

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