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Worksheet: Molar Solubilities from Solubility Products

Q1:

The 𝐾 s p of silver iodide, A g I , is 1 . 5 Γ— 1 0 βˆ’ 1 6 . What is the molar solubility of silver iodide?

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

Q2:

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 – . 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 Γ— 1 0 βˆ’ 7 M
  • B 1 . 0 Γ— 1 0 βˆ’ 6 M
  • C 1 . 6 Γ— 1 0 βˆ’ 6 M
  • D 6 . 5 Γ— 1 0 βˆ’ 7 M
  • E 1 . 3 Γ— 1 0 βˆ’ 6 M

Q3:

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 Β· 2 H O 4 2 C a C O Β· H O 2 4 2 C a ( P O ) 3 4 2
𝐾 s p 1 . 3 Γ— 1 0 βˆ’ 6 8 . 7 Γ— 1 0 βˆ’ 9 6 . 1 Γ— 1 0 βˆ’ 5 1 . 9 6 Γ— 1 0 βˆ’ 8 1 . 3 Γ— 1 0 βˆ’ 3 2
  • A C a C O 3
  • B C a ( O H ) 2
  • C C a C O Β· H O 2 4 2
  • D C a S O Β· 2 H O 4 2
  • E C a ( P O ) 3 4 2

Q4:

The 𝐾 s p of Milk of Magnesia ( M g ( O H ) ) 2 is 7 . 1 Γ— 1 0    . How many grams of Milk of Magnesia would be soluble in 200 mL of water at 2 5 ∘ C ?

  • A 4 . 1 Γ— 1 0  οŠͺ g
  • B 9 . 1 Γ— 1 0   g
  • C 3 . 8 Γ— 1 0   g
  • D 1 . 4 Γ— 1 0   g
  • E 6 . 0 Γ— 1 0   g

Q5:

Solutions of H g I 2 2 contain H g 2 2 + and I – ions. What is the molar solubility of H g I 2 2 , given that its solubility product, 𝐾 s p , is 4 . 5 Γ— 1 0    ? Assume that dissolution is the only process affecting the value of 𝐾 s p .

  • A 4 . 1 Γ— 1 0   M
  • B 1 . 4 Γ— 1 0    M
  • C 3 . 6 Γ— 1 0    M
  • D 2 . 2 Γ— 1 0    M
  • E 3 . 7 Γ— 1 0   M

Q6:

What is the molar solubility of A g [ F e ( C N ) ] 4 6 , a salt containing the [ F e ( C N ) ] 6 4 – ion, given that its solubility product, 𝐾 s p , is 1 . 5 5 Γ— 1 0 βˆ’ 4 1 ? Assume that dissolution is the only process affecting the value of 𝐾 s p .

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

Q7:

The 𝐾 s p of N i C O 3 is 1 . 3 6 Γ— 1 0 βˆ’ 7 . What is the minimum volume of water needed to dissolve 0.100 g of N i C O 3 ?

Q8:

The 𝐾 s p of copper(I) bromide, C u B r , is 6 . 3 Γ— 1 0 βˆ’ 9 . What is the molar solubility of copper bromide?

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

Q9:

Two hypothetical salts, L M 2 and L Q 3 , have the same molar solubility in water. If 𝐾 s p of L M 2 is 3 . 2 0 Γ— 1 0 βˆ’ 5 , what is the 𝐾 s p of L Q 3 ?

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

Q10:

What is the molar solubility of cadmium sulfide ( C d S ) in a 0.010 M solution of cadmium bromide ( C d B r ) 2 ? The 𝐾 s p of C d S is 1 . 0 Γ— 1 0 βˆ’ 2 8 .

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

Q11:

What is the molar solubility of P b I 2 , given that its solubility product, 𝐾 s p , is 1 . 4 Γ— 1 0 βˆ’ 8 ? Assume that dissolution is the only process affecting the value of 𝐾 s p .

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

Q12:

What is the molar solubility of aluminum hydroxide, A l ( O H ) 3 , in a 0.015 M solution of aluminum nitrate, A l ( N O ) 3 3 ? The 𝐾 s p of A l ( O H ) 3 is 2 Γ— 1 0 βˆ’ 3 2 .

  • A 2 Γ— 1 0 βˆ’ 1 0 M
  • B 8 Γ— 1 0 βˆ’ 9 M
  • C 2 Γ— 1 0 βˆ’ 1 1 M
  • D 4 Γ— 1 0 βˆ’ 1 1 M
  • E 1 Γ— 1 0 βˆ’ 1 0 M

Q13:

The 𝐾 s p of silver(I) bromide ( A g B r ) is 5 . 0 Γ— 1 0 βˆ’ 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 Γ— 1 0 βˆ’ 1 1 M
  • B 5 . 0 Γ— 1 0 βˆ’ 1 3 M
  • C 7 . 0 Γ— 1 0 βˆ’ 6 M
  • D 2 . 0 Γ— 1 0 βˆ’ 1 1 M
  • E 1 . 7 Γ— 1 0 βˆ’ 7 M

Q14:

The 𝐾 s p of zinc(II) cyanide ( Z n ( C N ) ) 2 is 3 . 0 Γ— 1 0 βˆ’ 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 Γ— 1 0 βˆ’ 4 g
  • B 5 . 3 Γ— 1 0 βˆ’ 7 g
  • C 4 . 4 Γ— 1 0 βˆ’ 7 g
  • D 6 . 2 Γ— 1 0 βˆ’ 5 g
  • E 7 . 0 Γ— 1 0 βˆ’ 1 2 g

Q15:

The 𝐾 s p of calcium hydroxide, C a ( O H ) 2 , is 1 . 3 Γ— 1 0 βˆ’ 6 . What is the molar solubility of calcium hydroxide?

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

Q16:

What is the molar solubility of M g F 2 if its solubility product, 𝐾 s p , is 6 . 4 Γ— 1 0 βˆ’ 9 ?

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

Q17:

The 𝐾 s p of lead(II) iodide, P b I 2 , is 1 . 4 Γ— 1 0 βˆ’ 8 . What is the molar solubility of lead(II) iodide?

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

Q18:

Most barium compounds are very poisonous; however, barium sulfate 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 𝐾 s p for B a S O 4 is 2 . 3 0 Γ— 1 0 βˆ’ 8 .

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