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What is the maximum concentration of Mg^...

What is the maximum concentration of `Mg^(+2) ` that can be introduced into a solution containing `0.1 M NH_3 and 0.01 M NH_4^(+ ) ` without causing precipitation of `Mg (OH)_2 ? K_b of NH_3 = 10^(6) K_(sp) of Mg(OH)_2 =1.2 xx 10^(-12)`

A

` 0.012 M`

B

` 0.24 M`

C

` 0.024 M`

D

` 0.048 M`

Text Solution

Verified by Experts

The correct Answer is:
A
no Mg ` OH)_2 ` PPt
`rArr IP lt Ksp rArr [Mg^(+2) ] [OH^(-)] ^(2) lt 1.2 xx 10 ^(_12) `
` [OH^(-) ] =(K_bxx [NH_3])/([NH_4^(+) ]) =(10 ^(-6)xx 0.1)/( 0.01) = 10 ^(-5) `
` rArr [Mg^(+2) ] lt(1.2xx 10 ^(-12))/( 10 ^(-10) )= 1.2 xx 10^(-2) `
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