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Standard XII

Chemistry

Solubility Product

What is the m...

Question

What is the minimum volume of water required to dissolve 1g of calcium sulphate at 298 K? (For calcium sulphate, $K_{s p}$ is $9.1 \times 10^{- 6}$ ).

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Solution

$C a S O_{4 (S)} \leftrightarrow C a_{(a q)}^{2 +} + S O_{4 (a q)}^{2 -} K_{s p} = [C a^{2 +}] [S O_{4}^{2 -}]$
Let the solubility of $C a S O_{4}$ be s.
Then, $k_{S P} = s^{2} 9.1 \times 10^{- 6} = s^{2} s = 3.02 \times 10^{- 3} m o l / L$
Molecular mass of $C a S O_{4} = 136$ g/mol
Solubility of in gram/L
$= 3.02 \times 10^{- 3} \times 136 = 0.41 g / L$
This means that we need 1L of water to dissolve 0.41g of $C a S O_{4}$
Therefore, to dissolve 1g of $C a S O_{4}$ we require $= \frac{1}{0.41} L = 2.44 L$ of water.

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Similar questions

What is the minimum volume of water required to dissolve 1g of calcium sulphate at 298 K? (For calcium sulphate, K_sp is 9.1 × 10^–6).

Q. Hard water required for an experiment is not available in a school laboratory. However, the following salts are available in the laboratory. Select the salts which may be dissolved in water to make it hard for the experiment :

(1) calcium sulphate
(2) sodium sulphate
(3) calcium chloride
(4) potassium sulphate
(5) sodium hydrogen carbonate
(6) magnesium chloride

Hard water required for an experiment is not available in a school laboratory. However, following salts are available in the laboratory. Select the salts which may be dissolved in water to make it hard for the experiment

(1) Calcium Sulphate

(2) Sodium Sulphate

(3) Calcium Chloride

(4) Potassium Sulphate

(5) Sodium Hydrogen Carbonate

(6) Magnesium Chloride

Q. A mixture of

100 m m o l

C a (O H)_{2}

and

2 g

of sodium sulphate was dissolved in water and the volume was made up to

100 m L

. The mass of calcium sulphate formed and the concentration of

O H^{-}

in resulting solution, respectively, are:

[Molar mass of

C a (O H)_{2}, N a_{2} S O_{4}

and

C a S O_{4}

are

74, 143

and

136 g m o l^{- 1}

, respectively;

K_{s p}

C a (O H)_{2}

5.5 \times 10^{- 6}]

Q. A sample of hard water contains

0.005 m o l e

of calcium chloride

p e r l i t r e

. What is the minimum concentration of sodium sulphate which must be added for removing the

{C a}^{2 +}

ions from this water sample?

(K_{s p}

C a {S O}_{4} = 2.4 \times 10^{- 5})

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Solubility Product

Standard XII Chemistry

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What is the minimum volume of water required to dissolve 1g of calcium sulphate at 298 K? (For calcium sulphate, Ksp is 9.1×10−6).

What is the minimum volume of water required to dissolve 1g of calcium sulphate at 298 K? (For calcium sulphate, $K_{s p}$ is $9.1 \times 10^{- 6}$ ).