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Question

If pH of a saturated solution of Ba(OH)2 is 12, the value of its K(sp) is:

A
5.00×107
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B
4.00×106
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C
4.00×107
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D
5.00×106
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Solution

The correct option is A 5.00×107
Let us consider the problem.
pH+pOH=14
pOH=1412=2(givenpH=12)
pOH=log[OH]
pOH=10pOH=102........1

Ba(OH)2Ba+2+2OH

At equlibrium-
Ba+2=xandOH=2x

Since,
2x=102asequation1,

Therefore ,
x=1022=0.5×102
KSP=[Ba+2]×[OH]2=[0.5×102][102]2=0.5×106=5×107

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