1.

What should be the minimum concentration ofNH_(4)Cl that must be present to prevent precipitation, when 0.01 M NH_(4)OH is added to 0.01 (M)M^(2+) solution? (K_(b) of NH_(4)OH = 1.75' 10^(-5) and K_(sp) of M(OH)_(2) = 44.1' 10^(-13))

Answer»

`0.025 M`
`0.01 M`
`0.25 M`
`0.083 M`

Solution : `{:(NH_(4)CL, rarr, NH_(4)^(+) ,+ OH^(-)),(0.01-x,,b+x,x):}`
`K_(b) = 1.75 xx 10^(-5) = ((b+x)x)/(0.01)`
(`x = 2.1' 10^(-6)` from `K_(sp)` of `M(OH)_(2)`)
`(b xx 2.1 xx 10^(-6))/(0.01) = 1.8 xx 10^(-5)`
`rArr (1.75)/(2.1) xx (10^(-7))/(10^(-6)) = (1.75)/(10) = 0.083 M`


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