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Solubility Product

Some chemists...

Question

Some chemists at ISRO wished to prepare a saturated solution of a silver compound and they wanted it to have the highest concentration of silver ion possible. which of the following compounds would they use?
$K_{s p} (A g C l) = 1.8 \times 10^{- 10} . K_{s p} (A g B r) = 5.0 \times 10^{- 13}$
$K_{s p} (A g_{2} C r O_{4}) = 2.4 \times 10^{- 12} [U s e \sqrt[3]{0.6} = 0.84]$

A

A g C l

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B

A g B r

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C

A g_{2} C r O_{4}

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D

None of these

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Solution

The correct option is C $A g_{2} C r O_{4}$
Assume all anion have concentration equal to 0.01.
According to given data, $[A g^{+}]$ needed for precipitation of (for saturated solution)
$A g C l = \frac{1.8 \times 10^{- 10}}{10^{- 2}} = 1.8 \times 10^{- 8} M$
$A g B r = \frac{5 \times 10^{- 13}}{10^{- 2}} = 5 \times 10^{- 11} M$
$A g_{2} C r O_{4} = (\frac{2.4 \times 10^{- 12}}{10^{- 2}})^{1 / 2} = 10^{- 5} M$
So, $A g_{2} C r O_{4}$ saturated solution will have highest concentration of silver ion.

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Similar questions

Q. A student wants to prepare a saturated solution of

{A g}^{+}

ion. He has got only three samples

A g C l

K_{s p} = 1.8 \times 10^{- 10}

A g B r (K_{s p} = 5 \times 10^{- 13}

{A g}_{2} {C r O}_{4} (K_{s p} = 2.4 \times 10^{- 12}

). Which compound should have maximum

[{A g}^{+}]

?

K_{s p}

A g_{2} C r O_{4}, A g C l, A g B r

A g l

are respectively,

1.1 \times 10^{- 12}, 1.8 \times 10^{- 10}, 5.0 \times 10^{- 13},

. Which of these will precepitate last if

A g N O_{3}

solution is added to a solution containing equal moles of NaCl, NaBr, NaI and

N a_{2} C r O_{4}

Q. A solution is found to contain

[C l^{⊝}] = 1.5 \times 10^{- 1} M; [B r^{⊝}] = 5.0 \times 10^{- 4} M; [C r O_{4}^{2 -}] = 1.9 \times 10^{- 2} M

A g N O_{3}

(100% dissociated) is added to the above solution drop by drop. Which silver salt will precipitate first?
Given:

K_{s p} (A g C l) = 1.5 \times 10^{- 10}, K_{s p} (A g B r) = 5.0 \times 10^{- 13}

K_{s p} (A g C r O_{4}) = 1.9 \times 10^{- 12}

K_{s p}

A g_{2} C r O_{4}, A g C l, A g B r

A g I

are respectively,

1.1 \times 10^{- 12}

1.8 \times 10^{- 10}

5.0 \times 10^{- 13}

8.3 \times 10^{- 17}

. Which of the following salts will precipitate last if

A g N O_{3}

solution is added to the solution containing equal moles of

N a C l, N a B r, N a I

N a_{2} C r O_{4}

?

K_{s p}

A g B r, A g C l, {A g}_{2} {C O}_{3}

{A g}_{3} A s O_{4}

5 \times 10^{- 13}, 1.8 \times 10^{- 10}, 8.1 \times 10^{- 12}

10^{- 22}

respectively. Silver nitrate is added to the solution each having

0.1 M

concentration of

{B r}^{-}, {C l}^{-}, {C O}_{3}^{2 -}

A s O_{4}^{3 -}

. Select the correct answer.

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