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Question

Fe(OH)2 is a diacidic base with Kb1=104 and Kb2=2.5×106. What is the concentration of Fe(OH)2 on 0.1 M Fe(NO3)2 solution?

A
4×109
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B
2.5×106
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C
1010
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D
1014
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Solution

The correct option is B 1010
The equilibrium reaction is as shown below.
Fe(OH)2Fe2++2OH
The equilibrium constant is K=Ka1×ka2=1×104×2.5×104=2.5×1010
The expression for the equilibrium constant =K=[Fe2+][OH]2[Fe(OH)2]
Substitute values in the above expression, we get
2.5×1010=(0.1x)(1.0×1072x)2x
On solving this equation, we get x=1×1010

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