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The K(a) value of CaCO(3) and CaC(2)O(4)...

The `K_(a)` value of `CaCO_(3)` and `CaC_(2)O_(4)` in water are `4.7 xx 10^(-9)` and `1.3 xx 10^(-9)`, respectively, at `25^(@)C`. If a miaxture of two is washed with `H_(2)O`, what is `Ca^(2+)` ion concentration in water?

A

`5.831 xx 10^(-5)`M

B

`6.856 xx 10^(-5)` M

C

`3.606 xx 10^(-5)`M

D

`7.746 xx 10^(-5)` M

Text Solution

Verified by Experts

The correct Answer is:
D
`CaCO_(3) to underset (x) (Ca^(2+)) + underset (x) (CO_(3)^(2-))`
`CaC_(2)O_(4) to underset (y) (Ca^(2+)) + underset y (C_(2)O_(4)^(2-))`
Now , `[Ca^(2+)] = x+y`
and `x(x+y) = 4.7 xx 10^(-9)`
` y(x+y) =1.3 xx 10^(-9)`
Onsolving we get
`[Ca^(2+)] = 7.746 xx 10^(-5) M `
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