Worksheet: Molar Solubilities from Solubility Products

In this worksheet, we will practice calculating the molar solubility of an ionic solid from its molecular formula and solubility product.

Q1:

Which of the following calcium salts is the most soluble, in moles per liter?

Calcium salt C a ( O H ) 2 C a C O 3 C a S O ยท 2 H O 4 2 C a C O ยท H O 2 4 2 C a ( P O ) 3 4 2
๐พ s p 1 . 3 ร— 1 0 ๏Šฑ ๏Šฌ 8 . 7 ร— 1 0 ๏Šฑ ๏Šฏ 6 . 1 ร— 1 0 ๏Šฑ ๏Šซ 1 . 9 6 ร— 1 0 ๏Šฑ ๏Šฎ 1 . 3 ร— 1 0 ๏Šฑ ๏Šฉ ๏Šจ
  • A C a C O 3
  • B C a ( O H ) 2
  • C C a C O ยท H O 2 4 2
  • D C a S O ยท 2 H O 4 2
  • E C a ( P O ) 3 4 2

Q2:

Solutions of H g I 2 2 contain H g 2 2 + and I โ€“ ions. What is the molar solubility of H g I 2 2 , given that its solubility product, ๐พ s p , is 4 . 5 ร— 1 0 ๏Šฑ ๏Šจ ๏Šฏ ? Assume that dissolution is the only process affecting the value of ๐พ s p .

  • A 4 . 1 ร— 1 0 ๏Šฑ ๏Šฏ M
  • B 1 . 4 ร— 1 0 ๏Šฑ ๏Šง ๏Šฆ M
  • C 3 . 6 ร— 1 0 ๏Šฑ ๏Šง ๏Šฆ M
  • D 2 . 2 ร— 1 0 ๏Šฑ ๏Šง ๏Šฆ M
  • E 3 . 7 ร— 1 0 ๏Šฑ ๏Šฏ M

Q3:

What is the molar solubility of A g [ F e ( C N ) ] 4 6 , a salt containing the [ F e ( C N ) ] 6 4 โ€“ ion, given that its solubility product, ๐พ s p , is 1 . 5 5 ร— 1 0 โˆ’ 4 1 ? Assume that dissolution is the only process affecting the value of ๐พ s p .

  • A 1 . 5 7 ร— 1 0 โˆ’ 1 1 M
  • B 6 . 8 9 ร— 1 0 โˆ’ 9 M
  • C 9 . 3 8 ร— 1 0 โˆ’ 1 1 M
  • D 2 . 2 7 ร— 1 0 โˆ’ 9 M
  • E 3 . 2 1 ร— 1 0 โˆ’ 8 M

Q4:

What is the molar solubility of P b I 2 , given that its solubility product, ๐พ s p , is 1 . 4 ร— 1 0 โˆ’ 8 ? Assume that dissolution is the only process affecting the value of ๐พ s p .

  • A 7 . 0 ร— 1 0 โˆ’ 4 M
  • B 1 . 2 ร— 1 0 โˆ’ 4 M
  • C 2 . 4 ร— 1 0 โˆ’ 3 M
  • D 1 . 5 ร— 1 0 โˆ’ 3 M
  • E 8 . 0 ร— 1 0 โˆ’ 3 M

Q5:

What is the molar solubility of aluminium hydroxide, A l ( O H ) 3 , in a 0.015 M solution of aluminium nitrate, A l ( N O ) 3 3 ? The ๐พ s p of A l ( O H ) 3 is 2 ร— 1 0 โˆ’ 3 2 .

  • A 2 ร— 1 0 โˆ’ 1 0 M
  • B 8 ร— 1 0 โˆ’ 9 M
  • C 2 ร— 1 0 โˆ’ 1 1 M
  • D 4 ร— 1 0 โˆ’ 1 1 M
  • E 1 ร— 1 0 โˆ’ 1 0 M

Q6:

What is the molar solubility of cadmium sulphide ( C d S ) in a 0.010 M solution of cadmium bromide ( C d B r ) 2 ? The ๐พ s p of C d S is 1 . 0 ร— 1 0 โˆ’ 2 8 .

  • A 1 . 0 ร— 1 0 โˆ’ 2 8 M
  • B 1 . 0 ร— 1 0 โˆ’ 3 0 M
  • C 1 . 0 ร— 1 0 โˆ’ 2 4 M
  • D 1 . 0 ร— 1 0 โˆ’ 2 6 M
  • E 1 . 0 ร— 1 0 โˆ’ 2 2 M

Q7:

What is the molar solubility of M g F 2 if its solubility product, ๐พ s p , is 6 . 4 ร— 1 0 โˆ’ 9 ?

  • A 8 . 0 ร— 1 0 โˆ’ 4 M
  • B 2 . 3 ร— 1 0 โˆ’ 3 M
  • C 1 . 5 ร— 1 0 โˆ’ 3 M
  • D 1 . 2 ร— 1 0 โˆ’ 3 M
  • E 1 . 9 ร— 1 0 โˆ’ 3 M

Q8:

Calomel, H g C l 2 2 , is a compound composed of the diatomic ion of mercury(I), H g 2 2 + , and chloride ions, C l โ€“ . Although most mercury compounds are now known to be poisonous, eighteenth-century physicians used calomel as a medication. Their patients rarely suffered any mercury poisoning from the treatments because calomel is quite insoluble: What is the molar solubility of H g C l 2 2 ?

  • A 8 . 2 ร— 1 0 โˆ’ 7 M
  • B 1 . 0 ร— 1 0 โˆ’ 6 M
  • C 1 . 6 ร— 1 0 โˆ’ 6 M
  • D 6 . 5 ร— 1 0 โˆ’ 7 M
  • E 1 . 3 ร— 1 0 โˆ’ 6 M

Q9:

The ๐พ s p of lead(II) iodide, P b I 2 , is 1 . 4 ร— 1 0 โˆ’ 8 . What is the molar solubility of lead(II) iodide?

  • A 1 . 2 ร— 1 0 โˆ’ 4 M
  • B 2 . 4 ร— 1 0 โˆ’ 3 M
  • C 2 . 0 ร— 1 0 โˆ’ 8 M
  • D 1 . 5 ร— 1 0 โˆ’ 3 M
  • E 1 . 9 ร— 1 0 โˆ’ 4 M

Q10:

The ๐พ s p of copper(I) bromide, C u B r , is 6 . 3 ร— 1 0 โˆ’ 9 . What is the molar solubility of copper bromide?

  • A 4 . 0 ร— 1 0 โˆ’ 1 7 M
  • B 6 . 3 ร— 1 0 โˆ’ 9 M
  • C 1 . 8 ร— 1 0 โˆ’ 3 M
  • D 7 . 9 ร— 1 0 โˆ’ 5 M
  • E 3 . 2 ร— 1 0 โˆ’ 9 M

Q11:

The ๐พ s p of silver iodide, A g I , is 1 . 5 ร— 1 0 โˆ’ 1 6 . What is the molar solubility of silver iodide?

  • A 5 . 3 ร— 1 0 โˆ’ 6 M
  • B 2 . 3 ร— 1 0 โˆ’ 3 2 M
  • C 1 . 5 ร— 1 0 โˆ’ 1 6 M
  • D 1 . 2 ร— 1 0 โˆ’ 8 M
  • E 3 . 4 ร— 1 0 โˆ’ 2 4 M

Q12:

The ๐พ s p of calcium hydroxide, C a ( O H ) 2 , is 1 . 3 ร— 1 0 โˆ’ 6 . What is the molar solubility of calcium hydroxide?

  • A 1 . 1 ร— 1 0 โˆ’ 3 M
  • B 1 . 1 ร— 1 0 โˆ’ 2 M
  • C 1 . 3 ร— 1 0 โˆ’ 6 M
  • D 6 . 9 ร— 1 0 โˆ’ 3 M
  • E 8 . 7 ร— 1 0 โˆ’ 6 M

Q13:

Most barium compounds are very poisonous; however, barium sulphate is often administered internally as an aid in the X-ray examination of the lower intestinal tract. This use of B a S O 4 is possible because of its low solubility. To 3 significant figures, what is the mass of barium present in 1.75 l of water saturated with B a S O 4 ? The ๐พ s p for B a S O 4 is 2 . 3 0 ร— 1 0 โˆ’ 8 .

  • A 5 . 9 1 ร— 1 0 โˆ’ 2 g
  • B 6 . 1 9 ร— 1 0 โˆ’ 2 g
  • C 4 . 1 1 ร— 1 0 โˆ’ 2 g
  • D 3 . 6 4 ร— 1 0 โˆ’ 2 g
  • E 2 . 0 8 ร— 1 0 โˆ’ 2 g

Q14:

The ๐พ s p of N i C O 3 is 1 . 3 6 ร— 1 0 โˆ’ 7 . What is the minimum volume of water needed to dissolve 0.100 g of N i C O 3 ?

Q15:

The ๐พ s p of silver(I) bromide ( A g B r ) is 5 . 0 ร— 1 0 โˆ’ 1 3 . What is the molar solubility of A g B r in a 0.025 M aqueous solution of N a B r ?

  • A 6 . 1 ร— 1 0 โˆ’ 1 1 M
  • B 5 . 0 ร— 1 0 โˆ’ 1 3 M
  • C 7 . 0 ร— 1 0 โˆ’ 6 M
  • D 2 . 0 ร— 1 0 โˆ’ 1 1 M
  • E 1 . 7 ร— 1 0 โˆ’ 7 M

Q16:

The ๐พ s p of Milk of Magnesia ( M g ( O H ) ) 2 is 7 . 1 ร— 1 0 ๏Šฑ ๏Šง ๏Šจ . How many grams of Milk of Magnesia would be soluble in 200 mL of water at 25โ„ƒ?

  • A 4 . 1 ร— 1 0 ๏Šฑ ๏Šช g
  • B 9 . 1 ร— 1 0 ๏Šฑ ๏Šจ g
  • C 3 . 8 ร— 1 0 ๏Šฑ ๏Šจ g
  • D 1 . 4 ร— 1 0 ๏Šฑ ๏Šฉ g
  • E 6 . 0 ร— 1 0 ๏Šฑ ๏Šจ g

Q17:

The ๐พ s p of zinc(II) cyanide ( Z n ( C N ) ) 2 is 3 . 0 ร— 1 0 โˆ’ 1 6 and the molar mass is 117.44 g/mol. How many grams of Z n ( C N ) 2 would be soluble in 125 mL of water?

  • A 5 . 0 ร— 1 0 โˆ’ 4 g
  • B 5 . 3 ร— 1 0 โˆ’ 7 g
  • C 4 . 4 ร— 1 0 โˆ’ 7 g
  • D 6 . 2 ร— 1 0 โˆ’ 5 g
  • E 7 . 0 ร— 1 0 โˆ’ 1 2 g

Q18:

Two hypothetical salts, L M 2 and L Q 3 , have the same molar solubility in water. If ๐พ s p of L M 2 is 3 . 2 0 ร— 1 0 โˆ’ 5 , what is the ๐พ s p of L Q 3 ?

  • A 8 . 3 9 ร— 1 0 โˆ’ 7 M
  • B 1 . 0 2 ร— 1 0 โˆ’ 6 M
  • C 5 . 6 1 ร— 1 0 โˆ’ 7 M
  • D 4 . 3 2 ร— 1 0 โˆ’ 6 M
  • E 1 . 0 9 ร— 1 0 โˆ’ 7 M

Q19:

What is the molar solubility of B a S O 4 in a 0.250 M solution of N a H S O 4 ? Take ๐พ = 2 . 3 ร— 1 0 s p 4 ( B a S O ) ๏Šฑ ๏Šฎ and ๐พ = 1 . 2 ร— 1 0 a 4 โ€“ ( H S O ) ๏Šฑ ๏Šจ .

  • A 2 . 3 ร— 1 0 ๏Šฑ ๏Šฎ M
  • B 9 . 2 ร— 1 0 ๏Šฑ ๏Šฎ M
  • C 1 . 5 ร— 1 0 ๏Šฑ ๏Šช M
  • D 4 . 7 ร— 1 0 ๏Šฑ ๏Šญ M
  • E 8 . 7 ร— 1 0 ๏Šฑ ๏Šฉ M

Q20:

What is the molar solubility of T l ( O H ) 3 in a 0.15 M solution of N H 3 ? Take ๐พ = 6 . 3 ร— 1 0 s p 3 ( T l ( O H ) ) ๏Šฑ ๏Šช ๏Šฌ and ๐พ = 1 . 8 ร— 1 0 b 3 ( N H ) ๏Šฑ ๏Šซ .

  • A 2 . 5 ร— 1 0 ๏Šฑ ๏Šจ ๏Šฉ M
  • B 2 . 1 ร— 1 0 ๏Šฑ ๏Šช ๏Šฉ M
  • C 6 . 9 ร— 1 0 ๏Šฑ ๏Šง ๏Šฎ M
  • D 1 . 4 ร— 1 0 ๏Šฑ ๏Šฉ ๏Šญ M
  • E 7 . 6 ร— 1 0 ๏Šฑ ๏Šฉ ๏Šฉ M

Q21:

The acid dissociation constant, ๐พ a , of H F is 7 . 2 ร— 1 0 โˆ’ 4 and the solubility product, ๐พ s p , of C a F 2 is 4 . 0 ร— 1 0 โˆ’ 1 1 . Calculate, to 2 significant figures, the molar solubility of C a F 2 in a 0.125 M solution of H F .

  • A 4 . 2 ร— 1 0 โˆ’ 7 M
  • B 4 . 4 ร— 1 0 โˆ’ 7 M
  • C 3 . 6 ร— 1 0 โˆ’ 7 M
  • D 4 . 8 ร— 1 0 โˆ’ 7 M
  • E 5 . 4 ร— 1 0 โˆ’ 7 M

Q22:

The solubility product, ๐พ s p , of P b ( O H ) 2 is 1 . 2 ร— 1 0 ๏Šฑ ๏Šง ๏Šซ and the base dissociation constant, ๐พ b , of C H N H 3 2 is 4 . 4 ร— 1 0 ๏Šฑ ๏Šช . Calculate, to 2 significant figures, the molar solubility of P b ( O H ) 2 in a 0.138 M solution of C H N H 3 2 .

  • A 3 . 5 ร— 1 0 ๏Šฑ ๏Šฎ M
  • B 1 . 6 ร— 1 0 ๏Šฑ ๏Šง ๏Šฉ M
  • C 9 . 8 ร— 1 0 ๏Šฑ ๏Šง ๏Šฌ M
  • D 2 . 1 ร— 1 0 ๏Šฑ ๏Šง ๏Šง M
  • E 1 . 7 ร— 1 0 ๏Šฑ ๏Šง ๏Šซ M

Q23:

The acid dissociation constant, ๐พ a , of H F is 6 . 8 ร— 1 0 ๏Šฑ ๏Šช and the solubility product, ๐พ s p , of B a F 2 is 2 . 4 ร— 1 0 ๏Šฑ ๏Šซ . Calculate, to 2 significant figures, the molar solubility of B a F 2 in a buffer solution containing 0 . 1 5 M H F and 0 . 2 5 M N a F .

  • A 7 . 7 ร— 1 0 ๏Šฑ ๏Šฎ M
  • B 9 . 6 ร— 1 0 ๏Šฑ ๏Šซ M
  • C 5 . 6 ร— 1 0 ๏Šฑ ๏Šฌ M
  • D 3 . 8 ร— 1 0 ๏Šฑ ๏Šช M
  • E 1 . 4 ร— 1 0 ๏Šฑ ๏Šจ M

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