1.

what is the ratio of moles of `Mg(OH)_(2)` and `AI(OH)_(3)` present in 1 litre saturated aqueous solution of `Mg(OH)_(2)` and `AI(OH)_(3)` (Given `K_(sp)` of `Mg(OH)_2)=4xx10^(-12)` asnd `K_(sp)` of `AI(OH)_(3)` is `1xx10^(-33)`). Report your answer after multiplying by `10^(-17)` .

Answer» Correct Answer - 8
What is the ratio of …………….
`{:(Mg(OH)_(2),,hArr,Mg^(2+)+2OH^(-)),(,x, 2x+3y),(AI(OH)_(3),hArr,AI^(3+)+3OH^(-)),(,y,3y+2x):}`
Since `K_(ap)` of `Mg(OH)_(2)gt K_(ap)` of `AI(OH)_(3)`
`:. X gtgt y` , `:. 2x+3y~=2x`
`4xx10^(-12)= [Mg^(2+)][OH^(-)]^(2)`
`=x+(2x)^(2)`
`:. x= 10^(-4)`
Similary `1xx10^(-33)=[AI^(3+)][OH^(-)]^(3)`
`1xx10^(-33)=yxx(2x)^(3)`
`:. y = (10^(-21))/(8)`
Thus `(x)/(y) = 8xx10^(17)`
`:.` Ans. `= 8xx10^(+17) = 8`


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