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MY and NY3, are insoluble salts and have...

MY and `NY_3`, are insoluble salts and have the same `K_(sp)` value of `6.2xx10^(-13)` at room temperature. Which statement would be true with regard to MY and `NY_3` ?

A

The salts MY and `NY_(3)` are more soluble in 0.5 M KY than in pure water

B

The addition of the salt of KY to the suspension of MY and `NY_(3)` will have no effect on their solubility's

C

The molar solubiliites of MY and `NY_(3)` in water are identical

D

The molar solubility of MY and water is less than that of `NY_(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
The molar solubility of MY in water is less than that of `NY_(3)`
Addition of salt KY (having a common ion `Y^(-)`) decreases the solubility of MY and `NY_(3)` due to common ion effect. Option (a) and (b) are wrong.
For salt `MY, MY hArr M^(+)hArr Y^(-)`
`K_(sp)=(s)(s)`
`6.2xx10^(-13)=s^(2)`
`therefore s=sqrt(6.2xx10^(-13))~=10^(-7)`
for salt `NY_(3), NY_(3)hArr N^(3+)+3Y^(-)`
`K_(sp)=(s)(3s)^(3)`
`K_(sp)=27s^(4)`
`s=((6.2xx10^(-13))/(27))^(1//4)`
`s~=10^(-4)`
The molar solubility of MY in water is less than of `NY_(3)`
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