Solubility Examples in Chemistry

Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Solubility.

This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Chemistry.

Concept Recap

The maximum amount of a solute that can dissolve in a given quantity of solvent at a specific temperature and pressure, typically expressed as grams.

How much can dissolve before no more will. Sugar: high solubility. Sand: zero.

Read the full concept explanation →

How to Use These Examples

  • Read the first worked example with the solution open so the structure is clear.
  • Try the practice problems before revealing each solution.
  • Use the related concepts and background knowledge badges if you feel stuck.

What to Focus On

Core idea: Solubility starts by identifying solute, solvent, amount, volume, and the concentration unit.

Common stuck point: Students often know a formula related to solubility but skip the recognition step: Am I tracking solute, solvent, total solution, concentration, dissolving, or dilution rather than just naming a mixture? That leads to a correct-looking substitution attached to the wrong chemical model.

Sense of Study hint: Ask: Am I tracking solute, solvent, total solution, concentration, dissolving, or dilution rather than just naming a mixture?

Worked Examples

Example 1

easy
Define solubility and explain how temperature generally affects the solubility of solids and gases in water.

Answer

Solids: solubility increases with T. Gases: solubility decreases with T.\text{Solids: solubility increases with T. Gases: solubility decreases with T.}

First step

1
Solubility is the maximum amount of solute that dissolves in a given amount of solvent at a specific temperature, usually expressed in g/100 g water\text{g/100 g water} or g/L\text{g/L}.

Full solution

  1. 2
    For most solid solutes: solubility increases with increasing temperature (e.g., sugar dissolves faster in hot water).
  2. 3
    For gaseous solutes: solubility decreases with increasing temperature (e.g., warm soda goes flat because dissolved CO2\text{CO}_2 escapes).
Temperature affects the kinetic energy of particles. For solids, higher temperature helps overcome the lattice energy holding the solid together. For gases, higher temperature gives gas molecules enough energy to escape the liquid.

Example 2

medium
Using a solubility curve, determine how many grams of KClO3\text{KClO}_3 can dissolve in 100100 g of water at 80°C80°\text{C} if the solubility is 40g/100 g water40\,\text{g/100 g water}. If the solution is cooled to 30°C30°\text{C} where the solubility is 10g/100 g water10\,\text{g/100 g water}, how much crystallizes out?

Example 3

medium
At 60°C60°\text{C}, KNO3\text{KNO}_3 solubility is 110g/100g110\,\text{g}/100\,\text{g} water. A saturated solution is prepared with 250g250\,\text{g} water at 60°C60°\text{C}, then cooled to 20°C20°\text{C} where solubility is 32g/100g32\,\text{g}/100\,\text{g} water. How many grams of KNO3\text{KNO}_3 crystallize out?

Example 4

medium
At what temperature reading does a solubility curve cross from solid behavior to gas behavior in terms of temperature dependence? Explain why the two slope signs differ.

Example 5

medium
At 80°C80°\text{C}, KBr\text{KBr} solubility is 95g/100g95\,\text{g}/100\,\text{g}. A chemist saturates 150g150\,\text{g} water at 80°C80°\text{C}, cools to 20°C20°\text{C} where solubility is 65g/100g65\,\text{g}/100\,\text{g}. Find the mass of crystals.

Example 6

hard
A student prepares 200g200\,\text{g} of saturated NaCl\text{NaCl} solution at 20°C20°\text{C} (solubility 36g/100g36\,\text{g}/100\,\text{g} water). Calculate the mass of NaCl\text{NaCl} and mass of water in the solution.

Example 7

hard
Why is hot tap water generally a poor source of drinking water for fish? Connect three ideas: gas solubility, temperature, and dissolved O2\text{O}_2.

Example 8

challenge
Common-ion effect: AgCl\text{AgCl} has Ksp=1.8×1010K_{sp} = 1.8 \times 10^{-10}. Find the molar solubility of AgCl\text{AgCl} in 0.10M0.10\,\text{M} NaCl\text{NaCl} solution.

Practice Problems

Try these problems on your own first, then open the solution to compare your method.

Example 1

medium
At 25°C25°\text{C}, the solubility of CaSO4\text{CaSO}_4 is 0.21g/100 mL0.21\,\text{g/100 mL}. If a student adds 1.01.0 g of CaSO4\text{CaSO}_4 to 200200 mL of water, will it all dissolve? How much remains undissolved?

Example 2

hard
Explain why a scuba diver must ascend slowly, using the concept of gas solubility and Henry's Law. What happens to the dissolved nitrogen in the diver's blood as pressure decreases?

Example 3

easy
Sugar dissolves easily in water but sand does not. Which has high solubility in water?

Example 4

easy
A solution holds the maximum solute it can at a given temperature. What is this solution called?

Example 5

easy
The solubility of a salt is 36 g per 100 g water. Can 30 g dissolve in 100 g water?

Example 6

easy
Is AgCl soluble in water according to common solubility rules? Answer yes or no.

Example 7

easy
For most solid solutes, raising the temperature usually does what to solubility?

Example 8

easy
As temperature rises, what happens to the solubility of a gas in water?

Example 9

easy
Solubility is the maximum amount that dissolves; rate of dissolving is how fast it dissolves. Which is a thermodynamic limit?

Example 10

easy
A salt has solubility 20 g per 100 g water. What is the maximum mass that dissolves in 50 g water?

Example 11

medium
Solubility is 36 g per 100 g water. How much salt can dissolve in 250 g water?

Example 12

medium
Solubility is 40 g per 100 g water at 20 C. If 50 g of salt is added to 100 g water, how much remains undissolved?

Example 13

medium
A saturated solution at 80 C holds 80 g salt per 100 g water; at 20 C it holds 30 g per 100 g. How much crystallizes out when cooled?

Example 14

medium
Solubility is 25 g per 100 g water. A solution has 15 g salt in 100 g water. Is it saturated, unsaturated, or supersaturated?

Example 15

medium
Solubility is 30 g per 100 g water. To make a saturated solution using 200 g water, how much salt is needed?

Example 16

medium
A gas is more soluble at high pressure (Henry's law). If pressure on a gas over water doubles, what happens to dissolved gas amount?

Example 17

medium
Solubility is 36 g per 100 g water. A student dissolves 18 g in 100 g water. What percent of saturation is reached?

Example 18

medium
Solubility is 28 g per 100 g water. How much salt is needed to saturate 150 g of water?

Example 19

medium
A gas dissolves to 0.04 mol/L at 1 atm. By Henry's law, what is the dissolved amount at 3 atm?

Example 20

challenge
At 60 C solubility is 110 g per 100 g water. A solution made with 150 g water is saturated, then cooled to 20 C where solubility is 40 g per 100 g. How much salt crystallizes?

Example 21

challenge
Solubility is 50 g per 100 g water. A 300 g sample of saturated solution is evaporated to dryness. How much salt is recovered?

Example 22

challenge
Gas solubility follows S = k times P. If S = 0.05 mol/L at 2 atm, what is S at 5 atm?

Example 23

easy
A salt has solubility 20g/100g20\,\text{g}/100\,\text{g} water at 25°C25°\text{C}. What is the maximum mass of salt that can dissolve in 300g300\,\text{g} of water at 25°C25°\text{C}?

Example 24

easy
A bottle of soda is left open on the counter for hours and goes flat. Which property of gas solubility explains this?

Example 25

easy
At 20°C20°\text{C}, NaCl solubility is 36g/100g36\,\text{g}/100\,\text{g} water. A student dissolves 9g9\,\text{g} of NaCl in 25g25\,\text{g} of water. Is the solution saturated?

Example 26

easy
A student claims sugar 'isn't there anymore' after stirring into water. What is the correct view in terms of solubility?

Example 27

easy
Which one is INSOLUBLE in water according to standard solubility rules: KNO3\text{KNO}_3, NaCl\text{NaCl}, PbCl2\text{PbCl}_2, Na2SO4\text{Na}_2\text{SO}_4?

Example 28

medium
A gas has solubility 0.030mol/L0.030\,\text{mol/L} at 1.0atm1.0\,\text{atm}. By Henry's law, what partial pressure is needed for a solubility of 0.105mol/L0.105\,\text{mol/L}?

Example 29

medium
A solution has 42g42\,\text{g} of salt in 150g150\,\text{g} water at 25°C25°\text{C}. The solubility at 25°C25°\text{C} is 30g/100g30\,\text{g}/100\,\text{g}. Classify the solution.

Example 30

medium
A solubility curve shows that at 50°C50°\text{C} the solubility of NaNO3\text{NaNO}_3 is 114g/100g114\,\text{g}/100\,\text{g} water. How much NaNO3\text{NaNO}_3 saturates 400g400\,\text{g} of water?

Example 31

medium
A diver inhales air at 4.0atm4.0\,\text{atm} underwater. Dissolved N2\text{N}_2 at 1.0atm1.0\,\text{atm} on the surface is 0.65mmol/L0.65\,\text{mmol/L}. What is the dissolved N2\text{N}_2 in blood at 4.0atm4.0\,\text{atm}?

Example 32

medium
KCl\text{KCl} solubility is 34.0g/100g34.0\,\text{g}/100\,\text{g} at 20°C20°\text{C}. A student dissolves 51g51\,\text{g} of KCl\text{KCl} in 200g200\,\text{g} water. Will all dissolve? Justify with numbers.

Example 33

medium
Two solutes A and B both have solubility 40g/100g40\,\text{g}/100\,\text{g} at 25°C25°\text{C}. A dissolves in 30 s; B dissolves in 5 min. Compare their solubility and dissolving rates.

Example 34

hard
At 25°C25°\text{C}, Ca(OH)2\text{Ca(OH)}_2 solubility is 0.165g/100mL0.165\,\text{g}/100\,\text{mL}. What is the molar solubility? (M=74.1g/molM = 74.1\,\text{g/mol})

Example 35

hard
A flask holds 250mL250\,\text{mL} water saturated with O2\text{O}_2 at 25°C25°\text{C} and 1.0atm1.0\,\text{atm} (S=8.3mg/LS = 8.3\,\text{mg/L}). The water warms to 35°C35°\text{C} where S=7.0mg/LS = 7.0\,\text{mg/L}. Mass of O2\text{O}_2 released?

Example 36

hard
At 1.0atm1.0\,\text{atm} and 25°C25°\text{C}, dissolved CO2\text{CO}_2 in water is 0.034mol/L0.034\,\text{mol/L}. A soda is bottled at 4.0atm4.0\,\text{atm} CO2\text{CO}_2. What volume of CO2\text{CO}_2 (at STP) would 500mL500\,\text{mL} of this soda release on opening?

Example 37

hard
A solid has solubility 25g/100g25\,\text{g}/100\,\text{g} at 30°C30°\text{C}. A student mixes 80g80\,\text{g} of solid with 200g200\,\text{g} water at 30°C30°\text{C}, stirs to equilibrium, then filters. What is the mass of dry filtrate (recovered solid)?

Example 38

challenge
At 25°C25°\text{C}, AgCl\text{AgCl} has Ksp=1.8×1010K_{sp} = 1.8 \times 10^{-10}. Find the molar solubility of AgCl\text{AgCl}, then convert to g/L\text{g/L} (M=143.32g/molM = 143.32\,\text{g/mol}).

Background Knowledge

These ideas may be useful before you work through the harder examples.

solution