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 SaltCa(OH)2CaCO3CaSO·2HO42CaCO·HO242Ca(PO)342
𝐾sp1.3×108.7×106.1×101.96×101.3×10
  • ACa(OH)2
  • BCa(PO)342
  • CCaSO·2HO42
  • DCaCO·HO242
  • ECaCO3

Q2:

Solutions of HgI22 contain Hg22+ and I ions. What is the molar solubility of HgI22, given that its solubility product, 𝐾sp, is 4.5×10? Assume that dissolution is the only process affecting the value of 𝐾sp.

  • A2.2×10 M
  • B3.6×10 M
  • C4.1×10 M
  • D1.4×10 M
  • E3.7×10 M

Q3:

What is the molar solubility of Ag[Fe(CN)]46, a salt containing the [Fe(CN)]64 ion, given that its solubility product, 𝐾sp, is 1.55×10? Assume that dissolution is the only process affecting the value of 𝐾sp.

  • A6.89×10 M
  • B1.57×10 M
  • C2.27×10 M
  • D9.38×10 M
  • E3.21×10 M

Q4:

What is the molar solubility of PbI2, given that its solubility product, 𝐾sp, is 1.4×10? Assume that dissolution is the only process affecting the value of 𝐾sp.

  • A1.2×10 M
  • B8.0×10 M
  • C2.4×10 M
  • D1.5×10 M
  • E7.0×10 M

Q5:

What is the molar solubility of aluminum hydroxide, Al(OH)3, in a 0.015 M solution of aluminum nitrate, Al(NO)33? The 𝐾sp of Al(OH)3 is 2×10.

  • A2×10 M
  • B8×10 M
  • C4×10 M
  • D2×10 M
  • E1×10 M

Q6:

What is the molar solubility of cadmium sulfide (CdS) in a 0.010 M solution of cadmium bromide (CdBr)2? The 𝐾sp of CdS is 1.0×10.

  • A1.0×10 M
  • B1.0×10 M
  • C1.0×10 M
  • D1.0×10 M
  • E1.0×10 M

Q7:

What is the molar solubility of MgF2 if its solubility product, 𝐾sp, is 6.4×10?

  • A8.0×10 M
  • B2.3×10 M
  • C1.9×10 M
  • D1.2×10 M
  • E1.5×10 M

Q8:

Calomel, HgCl22, is a compound composed of the diatomic ion of mercury(I), Hg22+, and chloride ions, Cl. 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. HgCl()Hg()+2Cl()2222+spsaqaq,𝐾=1.1×10 What is the molar solubility of HgCl22?

  • A6.5×10 M
  • B1.3×10 M
  • C1.6×10 M
  • D1.0×10 M
  • E8.2×10 M

Q9:

The 𝐾sp of lead(II) iodide, PbI2, is 1.4×10. What is the molar solubility of lead(II) iodide?

  • A2.4×10 M
  • B1.2×10 M
  • C2.0×10 M
  • D1.5×10 M
  • E1.9×10 M

Q10:

The 𝐾sp of copper(I) bromide, CuBr, is 6.3×10. What is the molar solubility of copper bromide?

  • A1.8×10 M
  • B4.0×10 M
  • C7.9×10 M
  • D3.2×10 M
  • E6.3×10 M

Q11:

The 𝐾sp of silver iodide, AgI, is 1.5×10. What is the molar solubility of silver iodide?

  • A1.5×10 M
  • B1.2×10 M
  • C3.4×10 M
  • D5.3×10 M
  • E2.3×10 M

Q12:

The 𝐾sp of calcium hydroxide, Ca(OH)2, is 1.3×10. What is the molar solubility of calcium hydroxide?

  • A1.3×10 M
  • B6.9×10 M
  • C8.7×10 M
  • D1.1×10 M
  • E1.1×10 M

Q13:

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 BaSO4 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 BaSO4? The 𝐾sp for BaSO4 is 2.30×10.

  • A6.19×10 g
  • B5.91×10 g
  • C4.11×10 g
  • D2.08×10 g
  • E3.64×10 g

Q14:

The 𝐾sp of NiCO3 is 1.36×10. What is the minimum volume of water needed to dissolve 0.100 g of NiCO3?

Q15:

The 𝐾sp of silver(I) bromide (AgBr) is 5.0×10. What is the molar solubility of AgBr in a 0.025 M aqueous solution of NaBr?

  • A6.1×10 M
  • B7.0×10 M
  • C1.7×10 M
  • D5.0×10 M
  • E2.0×10 M

Q16:

The 𝐾sp of milk of magnesia (Mg(OH))2 is 7.1×10. How many grams of milk of magnesia would be soluble in 200 mL of water at 25C?

  • A1.4×10 g
  • B9.1×10 g
  • C4.1×10 g
  • D6.0×10 g
  • E3.8×10 g

Q17:

The 𝐾sp of zinc(II) cyanide (Zn(CN))2 is 3.0×10 and the molar mass is 117.44 g/mol. How many grams of Zn(CN)2 would be soluble in 125 mL of water?

  • A5.0×10 g
  • B6.2×10 g
  • C4.4×10 g
  • D5.3×10 g
  • E7.0×10 g

Q18:

Two hypothetical salts, LM2 and LQ3, have the same molar solubility in water. If 𝐾sp of LM2 is 3.20×10, what is the 𝐾sp of LQ3?

  • A1.02×10 M
  • B5.61×10 M
  • C4.32×10 M
  • D1.09×10 M
  • E8.39×10 M

Q19:

What is the molar solubility of BaSO4 in a 0.250 M solution of NaHSO4? Take 𝐾=2.3×10sp4(BaSO) and 𝐾=1.2×10a4(HSO).

  • A8.7×10 M
  • B4.7×10 M
  • C1.5×10 M
  • D2.3×10 M
  • E9.2×10 M

Q20:

What is the molar solubility of Tl(OH)3 in a 0.15 M solution of NH3? Take 𝐾=6.3×10sp3(Tl(OH)) and 𝐾=1.8×10b3(NH).

  • A7.6×10 M
  • B2.5×10 M
  • C1.4×10 M
  • D2.1×10 M
  • E6.9×10 M

Q21:

The acid dissociation constant, 𝐾a, of HF is 7.2×10 and the solubility product, 𝐾sp, of CaF2 is 4.0×10. Calculate, to 2 significant figures, the molar solubility of CaF2 in a 0.125 M solution of HF.

  • A4.2×10 M
  • B5.4×10 M
  • C4.8×10 M
  • D4.4×10 M
  • E3.6×10 M

Q22:

The solubility product, 𝐾sp, of Pb(OH)2 is 1.2×10 and the base dissociation constant, 𝐾b, of CHNH32 is 4.4×10. Calculate, to 2 significant figures, the molar solubility of Pb(OH)2 in a 0.138 M solution of CHNH32.

  • A9.8×10 M
  • B1.7×10 M
  • C2.1×10 M
  • D1.6×10 M
  • E3.5×10 M

Q23:

The acid dissociation constant, 𝐾a, of HF is 6.8×10 and the solubility product, 𝐾sp, of BaF2 is 2.4×10. Calculate, to 2 significant figures, the molar solubility of BaF2 in a buffer solution containing 0.15MHF and 0.25MNaF.

  • A3.8×10 M
  • B9.6×10 M
  • C5.6×10 M
  • D1.4×10 M
  • E7.7×10 M

Q24:

The acid dissociation constant, 𝐾a, of HCO3 is 4.7×1011 and the solubility product, 𝐾sp, of CdCO3 is 5.2×10. Calculate the molar solubility of CdCO3 in a buffer solution containing 0.115 MNaHCO3 and 0.120 MNaCO23.

  • A2.3×10 M
  • B5.9×10 M
  • C4.5×10 M
  • D4.3×10 M
  • E4.1×10 M

Q25:

What is the molar solubility of Al(OH)3 in a buffer solution with 0.100 MNH3 and 0.400 MNH4+? Take 𝐾=2.0×10sp3(Al(OH)).

  • A3.4×10 M
  • B2.7×10 M
  • C2.1×10 M
  • D2.1×10 M
  • E2.1×10 M

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