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Concentration of the Ag^(+) ions in a sa...

Concentration of the `Ag^(+)` ions in a saturated solution of `Ag_(2)CO_(2)O_(4)` is `2.2xx10^(-4) mol L^(-1)` Solubility product of `Ag_(2)C_(2)O_(4)` is:

A

`2.42xx10^(-8)`

B

`2.66xx10^(-12)`

C

`4.5xx10^(-11)`

D

`5.3xx10^(-12)`

Text Solution

Verified by Experts

The correct Answer is:
D
Key concept - For a sparingly soluble salt, if S is the molar solubility,
`A_(x)B_(y)(s)+H_(2)O hArr xA^(y+)+yB^(x-)`
At saturation,
`K[A_(x)B_(y)]=[A^(y+)]^(x)xx[B^(x-)]^(y)=[xS]^(x)[yS]^(y)`
or `K_(sp)=x^(t).y^(y)S^(x+y)`
Where, the constant `K_(sp)` is called solubility product.
`Ag_(2)C_(2)O_(4)(s)hArr underset(2S)(2Ag^(+))+underset(S)(C_(2)O_(4)^(2-))`
`K_(sp)=[Ag^(+)]^(2)[C_(2)O_(4)^(2-)]=[2S]^(2)[S]`
Given, `2S=22xx10^(-4)` or `S=1.1xx10^(-4)M`
`therefore K_(sp)=[2.2xx10^(-4)]^(2)[1.1xx10^(-4)]`
`=5.3xx10^(-12)`
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Knowledge Check

  • Concentration of the Ag^(+) ions in a saturated solution of Ag_(2)C_(2)O_(4) is 2.2xx10^(-4) "mol" L^(-1) . Solubility product of Ag_(2)C_(2)O_(4) is

    A
    `2.42xx10^(-8)`
    B
    `2.66xx10^(-12)`
    C
    `4.5xx10^(-11)`
    D
    `5.3xx10^(-12)`

  • Concentration of the Ag^(+) ions in a saturaed solution of Ag_(2)C_(2)O_(4) is 2.2 xx 10^(-4) mol L^(-1) . Solubility product of Ag_(2)C_(2)O_(4) is :

    A
    `2.66 xx 10^(-12)`
    B
    `4.5 xx 10^(-11)`
    C
    `5.3 xx 10^(-12)`
    D
    `2.42 xx 10^(-8)`

  • Concentration of the Ag^(+) ions in a saturated solution of Ag_2C_2O_4 is 2.2 xx 10^(-4) mol L^(-1) . Solubility product of Ag_2C_2O_4 is:

    A
    `5.3xx10^(-12)`
    B
    `2.42xx10^(-8)`
    C
    `2.66xx10^(-12)`
    D
    `4.5xx10^(-11)`

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