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QNEET-2013-Ch-1558: NEET 2013 Chemistry - Class 11 NEET-2013-Ch-1558 Solution: The values of \(K_{sp}\) of \(CaCO_3\) and \(CaC_2O_4\) are…
The values of of and are and respectively at . If the mixture of these two is washed with water what is the concentration of ions in water?
Multiple Choice Options
- A 5.831 _ 10 _ 5 M
- B 6.856 _ 10 _ 5 M
- C 3.606 _ 10 _ 5 M
- D 7.746 _ 10 _ 5 M
Step-by-Step Verified Solution
CaCO 3 | _ | Ca 2+ | + | CO 3 2-
x | x
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CaC 2 O 4 | _ | Ca 2+ | + | C 2 O 4 2-
y | y
[Ca 2+ ] = x + y
Now, K sp (CaCO 3 ) = [Ca 2+ ] [CO 3
2- ]
or 4.7 _ 10 �9 = (x + y)x .......(1)
similarly, K sp (CaC 2 O 4 ) = [Ca 2+ ] [C 2 O 4 2� ]
or 1.3 _ 10 �9 = (x + y)y .......(2)
Dividing equation (1) and (2), we get
x y = 3.6
_ x = 3.6y
Putting in equation (2) we get
y(3.6y + y) = 1.3 _ 10 �9
_ y = 1.68 _ 10 -5
and x = 3.6 _ 1.68 _ 10 -5 = 6.048 _ 10 -5
_ [Ca 2+ ] = (x + y) = (6.048 _ 10 -5 ) + (1.68 _ 10 -5 )
_ [Ca 2+ ] = 7.746 _ 10 �5 M