Which of the following concentrations of NH+4 will be sufficient to prevent the precipitation of Mg(OH)2 from a solution which is 0.01M MgCl2 and 0.1M NH3(aq)? Given that the Ksp of Mg(OH)2=2.5×10−11 and Kb for NH3(aq)=2×10−5.
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=2.5×10−11 ∴[OH−]=√2.5×10−110.01=5×10−5 now KbNH3=2×10−5=[NH+4][OH−][NH3] hence [NH+4]=0.04M