Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Lesson: Solubility Products

Worksheet • 23 Questions

Q1:

The standard free energies of formation for solid silver(I) chloride and its aqueous ions are given in the table.

Material A g C l ( ) s A g ( ) + a q C l ( ) โ€“ a q
Standard Gibbs Free Energy of Formation ฮ” ๐บ โฆต f ( k J / m o l ) โˆ’ 1 0 9 . 8 77.1 โˆ’ 1 3 1 . 2

Calculate the solubility product for silver(I) chloride at 2 5 . 0 โˆ˜ C to 3 significant figures.

  • A 1 . 7 4 ร— 1 0 ๏Šฑ ๏Šง ๏Šฆ
  • B 5 . 7 3 ร— 1 0 ๏Šฑ ๏Šฏ
  • C 1 . 8 0 ร— 1 0 ๏Šฑ ๏Šง ๏Šญ
  • D 2 . 2 7 ร— 1 0 ๏Šฑ ๏Šง ๏Šช
  • E 5 . 5 4 ร— 1 0 ๏Šฑ ๏Šง ๏Šฎ

Q2:

Silver iodide, A g I , is a poorly-soluble ionic solid with antiseptic properties. Consider the equilibrium What is the correct expression for the solubility product of silver iodide?

  • A ๐พ s p = [ A g ] [ I ] + โ€“
  • B ๐พ s p = [ ] [ ] [ ] A g I A g I + โ€“
  • C ๐พ s p = [ A g ] [ I ] + โ€“ 2
  • D ๐พ s p = [ ] [ ] [ ] A g I A g I + โ€“
  • E ๐พ s p = 1 [ ] [ ] A g I + โ€“

Q3:

In a saturated solution of B a S O 4 , [ B a ] 2 + = 0.500 M and [ S O ] 4 2 โ€“ = 2 . 1 6 ร— 1 0 โˆ’ 1 0 M. What is the solubility product of B a S O 4 ?

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

Q4:

Calcium carbonate is the active ingredient in many over-the-counter chewable antacids. Consider the equilibrium What is the correct expression for the solubility product of calcium carbonate?

  • A ๐พ s p = [ C a ] [ C O ] 2 + 3 2 โ€“
  • B ๐พ s p = [ C a C O ] [ C a ] [ C O ] 3 2 + 3 2 โ€“
  • C ๐พ s p = 1 [ ] [ ] C a C O 2 + 2 โˆ’ 3
  • D ๐พ s p = [ ] [ ] [ ] C a C O C a C O 2 + 2 โˆ’ 3 3
  • E ๐พ s p = [ ] [ ] [ ] C a C O C a C O 3 3 2 + 2 โˆ’

Q5:

What is the concentration of O H โ€“ in a saturated solution of M n ( O H ) 2 ? The ๐พ s p of M n ( O H ) 2 is 2 ร— 1 0 โˆ’ 1 3 .

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

Q6:

Magnesium ammonium phosphate is an almost insoluble substance used in tests for magnesium. Consider the equilibrium What is the correct expression for the solubility product of magnesium ammonium phosphate?

  • A ๐พ s p = [ M g ] [ N H ] [ P O ] 2 + 4 + 4 3 โ€“
  • B ๐พ s p = [ M g ( N H ) P O ] [ M g ] [ N H ] [ P O ] 4 4 2 + 4 + 4 3 โ€“
  • C ๐พ s p = [ ] [ ] [ ] [ ] M g N H P O M g ( N H ) P O 2 + 4 + 4 3 โ€“ 4 4
  • D ๐พ s p = 1 [ ] [ ] [ ] M g N H P O 2 + 4 + 4 3 โ€“
  • E ๐พ s p = [ ] [ ] [ ] [ ] M g ( N H ) P O M g N H P O 4 4 2 + 4 + 4 3 โ€“

Q7:

What is the concentration of S r 2 + in a saturated solution of S r ( O H ) ยท 8 H O 2 2 ? The ๐พ s p of S r ( O H ) ยท 8 H O 2 2 is 3 . 2 ร— 1 0 โˆ’ 4 .

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

Q8:

What is the concentration of A g + in a saturated solution of A g S O 2 4 ? The ๐พ s p for A g S O 2 4 is 1 . 2 ร— 1 0 โˆ’ 5 .

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

Q9:

What is the concentration of M g 2 + in a saturated solution of the mineral brucite, M g ( O H ) 2 ? The ๐พ s p of M g ( O H ) 2 is 8 . 9 ร— 1 0 โˆ’ 1 2 .

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

Q10:

What is the correct expression for the solubility product of barium(II) sulfate?

  • A ๐พ s p = [ B a ] [ S O ] 2 + 4 2 โ€“
  • B ๐พ s p = [ B a S O ] [ B a ] [ S O ] 4 2 + 4 2 โ€“
  • C ๐พ s p = [ ] [ ] [ ] B a S O B a S O 2 + 4 2 โ€“ 4
  • D ๐พ s p = 1 [ ] [ ] B a S O 2 + 4 2 โ€“
  • E ๐พ s p = [ ] [ ] [ ] B a S O B a S O 4 2 + 4 2 โ€“

Q11:

In a saturated solution of G d ( S O ) 2 4 3 , [ G d ] 3 + = 0.132 M and [ S O ] 4 2 โ€“ = 0.198 M. What is the solubility product of G d ( S O ) 2 4 3 ?

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

Q12:

What is the correct expression for the solubility product of silver(I) sulfate?

  • A ๐พ s p = [ A g ] [ S O ] + 2 4 2 โ€“
  • B ๐พ s p = [ A g ] [ S O ] + 4 2 โ€“
  • C ๐พ s p = [ ] [ ] [ ] A g S O A g S O + 4 2 โ€“ 2 4 2
  • D ๐พ s p = 1 [ ] [ ] A g S O + 4 2 โ€“ 2
  • E ๐พ s p = [ ] [ ] [ ] A g S O A g S O 2 4 + 4 2 โ€“ 2

Q13:

In a saturated solution of T l C l , [ T l ] M + = 1 . 2 1 ร— 1 0 โˆ’ 2 and [ C l ] M โ€“ = 1 . 2 ร— 1 0 โˆ’ 2 . What is the solubility product of T l C l ?

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

Q14:

What is the correct expression for the solubility product of laurionite, P b C l ( O H ) ?

  • A ๐พ s p = [ P b ] [ C l ] [ O H ] 2 + โ€“ โ€“
  • B ๐พ s p = [ P b C l ( O H ) ] [ P b ] [ C l ] [ O H ] 2 + โ€“ โ€“
  • C ๐พ s p = [ ] [ ] [ ] [ ] P b C l O H P b C l ( O H ) 2 + โ€“ โ€“
  • D ๐พ s p = 1 [ ] [ ] [ ] P b C l O H 2 + โ€“ โ€“
  • E ๐พ s p = [ ] [ ] [ ] [ ] P b C l ( O H ) P b C l O H 2 + โ€“ โ€“

Q15:

What is the concentration of I โ€“ in a saturated solution of A g I ? The ๐พ s p for A g I is 1 . 5 ร— 1 0 โˆ’ 1 6 .

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

Q16:

What is the correct expression for the solubility product of aluminum(III) hydroxide?

  • A ๐พ s p = [ A l ] [ O H ] 3 + โ€“ 3
  • B ๐พ s p = 1 [ ] [ ] A l O H 3 + โ€“ 3
  • C ๐พ s p = [ A l ] [ O H ] 3 + โ€“
  • D ๐พ s p = [ ] [ ] [ ] A l ( O H ) A l O H 3 3 + โ€“ 3
  • E ๐พ s p = [ ] [ ] [ ] A l O H A l ( O H ) 3 + โ€“ 3 3

Q17:

Under what circumstances does a sample of solid A g C l ( ๐พ = 1 . 6 ร— 1 0 ) s p โˆ’ 1 0 completely dissolve in pure water?

  • AWhen there is so little solid, or so much solvent, that the solution is not saturated
  • BWhen the solid is dissolved in boiling water
  • CWhen the solid is finely divided so that it has a large surface area
  • DWhen a salt or acid (e.g., H C l ) with a common ion is also present in solution

Q18:

The aqueous solubility product of a compound may provide an underestimate of its solubility if the dissociated anion reacts with water. Which of the following slightly soluble compounds displays the largest fractional difference between the observed solubility and the estimated value?

  • A C a F 2
  • B K B r
  • C A g C l
  • D H g I 2 2
  • E B a S O 4

Q19:

Magnesium hydroxide is the active ingredient in Milk of Magnesia. Consider the equilibrium What is the correct expression for the solubility product of magnesium hydroxide?

  • A ๐พ s p = [ M g ] [ O H ] 2 + โ€“ 2
  • B ๐พ s p = [ ] [ ] [ ] M g O H M g ( O H ) 2 + 2 โ€“ 2
  • C ๐พ s p = [ M g ] [ O H ] 2 + โ€“
  • D ๐พ s p = [ ] [ ] [ ] M g ( O H ) M g O H 2 โ€“ 2 + 2
  • E ๐พ s p = 1 [ ] [ ] M g O H 2 + 2 โ€“

Q20:

Public Health Service standards for drinking water set a maximum of 250 mg/L ( 2 . 6 0 ร— 1 0 โˆ’ 3 M) of S O 4 2 โ€“ because of its laxative effects. What is the concentration of S O 4 2 โ€“ ions in mg/L in natural water that is saturated with C a S O 4 (gyp water) as a result of passing through soil containing gypsum, C a S O ยท 2 H O 4 2 ? Here, the ๐พ s p for C a S O ยท 2 H O 4 2 is 6 . 1 ร— 1 0 โˆ’ 5 .

Q21:

In a saturated solution of C e ( I O ) 3 4 , [ C e ] 4 + = 1 . 8 ร— 1 0 โˆ’ 4 M and [ I O ] 3 โ€“ = 2 . 6 ร— 1 0 โˆ’ 1 3 M. What is the solubility product of C e ( I O ) 3 4 ?

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

Q22:

The mineral apatite, C a ( P O ) O H 5 4 3 , is a source of phosphate for fertilizers. Consider the equilibrium What is the correct expression for the solubility product of apatite?

  • A ๐พ s p = [ C a ] [ P O ] [ O H ] 2 + 5 4 3 โ€“ 3 โ€“
  • B ๐พ s p = [ ] [ ] [ ] [ ] C a P O O H C a ( P O ) O H 2 + 4 3 โ€“ โ€“ 5 4 3 ๏Šซ ๏Šฉ
  • C ๐พ s p = [ C a ] [ P O ] [ O H ] 2 + 4 3 โ€“ โ€“
  • D ๐พ s p = [ ] [ ] [ ] [ ] C a ( P O ) O H C a P O O H 5 4 3 2 + 4 3 โ€“ โ€“ ๏Šซ ๏Šฉ
  • E ๐พ s p = 1 [ ] [ ] [ ] C a P O O H 2 + 4 3 โ€“ โ€“ ๏Šซ ๏Šฉ

Q23:

In a saturated solution of A g S O 2 4 , [ A g ] + = 2 . 4 0 ร— 1 0 โˆ’ 2 M and [ S O ] 4 2 โ€“ = 2 . 0 5 ร— 1 0 โˆ’ 2 M. What is the solubility product of A g S O 2 4 ?

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