Solutions: Saturated and Unsaturated溶液、饱和与不饱和

Big Idea · Scale, Proportion, and Quantity (SPQ)AP Science Practice 1 · Models and RepresentationsAP link · Unit 3~25 min

Learning goals

  • Define solution, solute, and solvent, explain why solutions are uniform and stable, and tell solutions from emulsions
  • Know that some substances absorb heat as they dissolve and others release it
  • Tell saturated from unsaturated solutions and explain how to turn one into the other

Before you start

  • Pure substances and mixtures (1.2.5)
  • Composition and purification of water (1.7.3)

Solutions all around you

The saline in a hospital IV drip is a 0.9% sodium chloride solution. Rubbing alcohol, the iodine tincture on a scrape, sweet tea, and soda are all solutions too. Many of the reactions you do in the lab happen in solution as well.

Solutions

A solution溶液 is a uniform and stable mixture formed when one or more substances spread evenly through another.

  • The substance that gets dissolved is the solute溶质. It can be a solid, a liquid, or a gas.
  • The substance that does the dissolving is the solvent溶剂. Water is the most common solvent, but gasoline and alcohol can be solvents too. In iodine tincture, iodine is the solute and alcohol is the solvent.

Uniform means every part of the solution has the same composition and properties: a glass of sugar water is just as sweet at the top as at the bottom. Stable means that as long as conditions don’t change, the solute doesn’t separate out; a solution doesn’t settle into layers over time.

Mass of solution = mass of solute + mass of solvent. Volumes, however, usually don’t simply add up (remember from lesson 1.2.1 that 50 mL of water and 50 mL of alcohol make less than 100 mL).

Shake cooking oil with water and tiny oil droplets spread through the water, but the mixture isn’t uniform or stable: left alone, it separates into layers. That’s an emulsion乳浊液. Dish soap breaks oil into countless tiny droplets that rinse away with the water; this is called emulsifying乳化. Gasoline removes grease by dissolving it, while soap removes grease by emulsifying it, two different processes.

Temperature changes when dissolving

Dissolving often absorbs or releases heat:

SubstanceTemperature of the solution
Sodium hydroxide, NaOH\ce{NaOH}Rises noticeably (heat released)
Ammonium nitrate, NHX4NOX3\ce{NH4NO3}Drops noticeably (heat absorbed)
Sodium chloride, NaCl\ce{NaCl}Stays about the same

Instant cold packs for sports injuries work this way: squeezing the pack breaks an inner pouch of water, ammonium nitrate dissolves, and the pack gets cold.

Saturated and unsaturated solutions

At a given temperature, in a given amount of solvent, a solution that can’t dissolve any more of a particular solute is a saturated solution饱和溶液 of that solute. A solution that can still dissolve more is an unsaturated solution不饱和溶液.

So whenever you call a solution saturated, you need to know the temperature, the amount of solvent, and which solute you mean. A glass of saturated salt water can still dissolve sugar.

Add solute to the beaker below, then change the temperature and the amount of water. When does the solution become saturated, and when does it become unsaturated again?

Try it: add solute, change the temperature or the amount of water, and see whether the solution is saturated
Solute

For most solids (potassium nitrate, for example), you can switch between the two like this:

  • Unsaturated → saturated: add more solute, evaporate some solvent, or cool it down.
  • Saturated → unsaturated: add more solvent or warm it up.

A few solids, such as calcium hydroxide, become less soluble as the temperature rises, so the temperature changes work the other way around for them.

When solute comes out of a solution as crystals, that’s crystallization结晶. Sea salt is made by evaporating the water; potassium nitrate crystals are usually obtained by cooling a hot saturated solution (lesson 1.7.5).

Example 1: Is it saturated?

At 20 °C, 100 g of water can dissolve at most 31.6 g of potassium nitrate. At 20 °C, 40 g of potassium nitrate is stirred into 100 g of water. Is the solution saturated? What is its mass?

Step-by-step solution
  1. Compare. 40 g is more than the 31.6 g that 100 g of water can dissolve.
  2. Decide. Only 31.6 g dissolves, leaving 40 − 31.6 = 8.4 g undissolved, so the solution is saturated.
  3. Find the mass. The undissolved solid isn’t part of the solution: mass of solution = 100 g + 31.6 g = 131.6 g, not 140 g.

Example 2: Making an unsaturated solution saturated

You have a nearly saturated potassium nitrate solution. Without changing its mass, how can you make it saturated? What about a nearly saturated solution of calcium hydroxide (limewater)?

Step-by-step solution
  1. Options. Adding solute, evaporating solvent, or changing the temperature can all saturate a solution, but the first two change its mass.
  2. Potassium nitrate. It becomes less soluble as the temperature drops, so cool it.
  3. Calcium hydroxide. It becomes less soluble as the temperature rises, so warm it.
Practice: is it a solution?
  1. Saline (0.9% salt water)
  2. Muddy water
  3. Iodine tincture
  4. Cooking oil shaken with water
  5. Distilled water
  6. Copper(II) sulfate solution
  7. White vinegar
  8. Ice cubes in water

Common mistakes

Mistake 1: “Solutions are always colorless.” Solutions are always clear (transparent), but not necessarily colorless: copper(II) sulfate solution is blue, and iron(II) sulfate solution is pale green.

Mistake 2: “Any uniform, stable liquid is a solution.” Water and pure alcohol are uniform and stable too, but they’re pure substances. A solution has to be a mixture.

Mistake 3: “Saturated means concentrated, and unsaturated means dilute.” These are separate ideas. Calcium hydroxide barely dissolves, so even its saturated solution is very dilute, while a nearly saturated potassium nitrate solution can be very concentrated.

Quick check

Which substance makes the water noticeably colder when it dissolves?

Which of these will NOT make a nearly saturated potassium nitrate solution saturated?

Summary

  • A solution is a uniform, stable mixture of a solute in a solvent. Mass of solution = mass of solute + mass of solvent.
  • Emulsions aren’t uniform or stable. Soap removes grease by emulsifying it; gasoline does it by dissolving it.
  • Sodium hydroxide releases heat as it dissolves, ammonium nitrate absorbs heat, and sodium chloride barely changes the temperature.
  • “Saturated” depends on temperature, the amount of solvent, and the solute. Adding solute, evaporating solvent, or (for most solids) cooling makes a solution saturated; adding solvent or warming makes it unsaturated.
On to AP (for later)

AP topic 3.7 describes solution composition with molarity (mol/L). Topic 3.8 asks you to draw particle diagrams of solutions, such as dissolved NaX+\ce{Na+} and ClX−\ce{Cl-} ions each surrounded by water molecules, and topic 3.10 explains which substances mix using “like dissolves like.” Why ammonium nitrate dissolves on its own even though it absorbs heat is explained in topic 7.14 with entropy and free energy.

Practice this chapter: Module 7 · Air, Water, and Solutions · 10 questions

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