An aqueous solution contains an unknown concentration of Ba²⁺. When 50 mL of a 1 M solution of Na₂SO₄ is added, BaSO₄ just begins to precipitate. The final volume is 500 mL. The solubility product of BaSO₄ is 1 x 10–10. What is the original concentration of Ba²⁺?

1.0 x 10^–10 M

5 x 10^–9 M

2x10^–9 M

1.1 x 10^–9M

Solution

1.1 x 10^–9M

$\underset{50 m l}{1 M N a_{2} S O_{4}} + \underset{450 m l}{B a^{+ 2}} \overset{}{\to \underset{500 m l}{F i n a l S o l u t i o n}} C o n c e n t r a t i o n o f S O_{4}^{- 2} i n B a^{+ 2} s o l u t i o n M_{1} V_{1} = M_{2} V_{2} 1 x 50 = M_{2} x 500 M_{2} = \frac{1}{10} f o r j u s t p r e c i p i t a t i o n I . P = K_{s p} [B a^{+ 2}] [S O_{4}^{2 -}] = K_{s p} (B a S O_{4}) [B a^{+ 2}] x \frac{1}{10} = 10^{- 10} [B a^{+ 2}] = 10^{- 9} M i n 500 m l S o l u t i o n$

For the calculation of [Ba⁺²] in original solution (450 ml)

$M_{1} x 450 = 10^{- 9} x 500 M_{1} = \frac{500}{450} x 10^{- 9} = 1.11 x 10^{- 9} M [M_{1} = M o l a r i t y o f B a^{+ 2} i n o r i g i n a l s o l u t i o n (450 m l)]$

Some More Questions From Solutions Chapter

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Solutions

Some More Questions From Solutions Chapter

Calculate the osmotic pressure in pascals exerted by a solution prepared by dissolving 1.0 g of polymer of molar mass 185,000 in 450 mL at 37⁰C.

Suppose a solid solution is formed between two substances, one whose particles are very large and the other whose particles are very small. What kind of solid solution is this likely to be?

Amongst the following compunds identify which are insoluble, partially soluble and highly soluble in water?
(i) phenol (ii) toluene (iii) formic acid (iv) ethylene glycol (v) chloroform, (vi) pentanol.

Two liquids A and B boils at 145⁰C and 190⁰C respectively. Which of them has a higher vapour pressure at 80⁰C ?

State the formula relating pressure of a gas with its mole fraction in a liquid solution in contact with it.

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Solutions

Some More Questions From Solutions Chapter

Calculate the osmotic pressure in pascals exerted by a solution prepared by dissolving 1.0 g of polymer of molar mass 185,000 in 450 mL at 370C.

Suppose a solid solution is formed between two substances, one whose particles are very large and the other whose particles are very small. What kind of solid solution is this likely to be?

Amongst the following compunds identify which are insoluble, partially soluble and highly soluble in water?(i) phenol (ii) toluene (iii) formic acid (iv) ethylene glycol (v) chloroform, (vi) pentanol.

Two liquids A and B boils at 1450C and 1900C respectively. Which of them has a higher vapour pressure at 800C ?

State the formula relating pressure of a gas with its mole fraction in a liquid solution in contact with it.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Calculate the osmotic pressure in pascals exerted by a solution prepared by dissolving 1.0 g of polymer of molar mass 185,000 in 450 mL at 37⁰C.

Amongst the following compunds identify which are insoluble, partially soluble and highly soluble in water?
(i) phenol (ii) toluene (iii) formic acid (iv) ethylene glycol (v) chloroform, (vi) pentanol.

Two liquids A and B boils at 145⁰C and 190⁰C respectively. Which of them has a higher vapour pressure at 80⁰C ?