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Math 6 · Science
Matter · Mixtures and solutions

Solutions and concentration

Emma puts two spoonfuls of sugar into a glass of water and stirs. The sugar disappears from sight, but it is still there: you can tell as soon as you taste it. This homogeneous mixture has a name of its own, and you can even measure how sweet it is.

Solvent and solute

Diagram of a glass containing a solution: the liquid is the solvent and the purple particles, spread evenly throughout, are the dissolved solute. solvent (water, greater amount) solute (smaller amount)
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Emma adds two spoonfuls of sugar to a glass of water and stirs until the sugar disappears, as shown in the figure. What is sugar: the solute or the solvent? And water?…

Emma adds two spoonfuls of sugar to a glass of water and stirs until the sugar disappears, as shown in the figure.

sugar water

What is sugar: the solute or the solvent? And water? What is the result of the mixture called?

Solve
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The IV drip used in hospitals is water with dissolved salts and glucose. Which is the solvent? How many solutes does this solution have?

The IV drip used in hospitals is water with dissolved salts and glucose. Which is the solvent? How many solutes does this solution have?

Solve
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The alcohol used to disinfect a wound is alcohol dissolved in water. a) Which is the solute and which is the solvent? b) Can a liquid be a solute? What about a gas? Give…

The alcohol used to disinfect a wound is alcohol dissolved in water.

  1. a) Which is the solute and which is the solvent?
  2. b) Can a liquid be a solute? What about a gas? Give an example of a dissolved gas.
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Diluting and concentrating

Comparison between a concentrated solution and a dilute one: after more solvent is added there is more liquid and its color is paler, because the same solute is spread through a larger volume. concentrated + water diluted
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Strawberry syrup tastes too sweet to you, so you decide to add more water to the glass. a) Does the total amount of sugar in the glass change? b) What about the taste?…

Strawberry syrup tastes too sweet to you, so you decide to add more water to the glass.

  1. a) Does the total amount of sugar in the glass change?
  2. b) What about the taste? Explain what "diluting" a solution means.
Solve

Solubility and saturation

You put a teaspoon of cocoa into a glass of milk and it dissolves without any problem, but by the fourth spoonful a sediment starts to form at the bottom that does not disappear however much you stir: why can't a liquid dissolve as much solid as we like?

In the graph, the horizontal axis shows the temperature of the water and the vertical axis shows the grams of solute that can be dissolved. Notice how the curve rises: the higher the temperature, the more solute the water can take.

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Why does sugar dissolve faster in hot tea than in cold tea? What happens to the solubility of most solids when the temperature increases?

Why does sugar dissolve faster in hot tea than in cold tea? What happens to the solubility of most solids when the temperature increases?

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The solubility of salt in water at room temperature is about $36\ \text{g}$ per $100\ \text{mL}$. You pour $40\ \text{g}$ of salt into a glass with $100\ \text{mL}$ of…

The solubility of salt in water at room temperature is about $36\ \text{g}$ per $100\ \text{mL}$. You pour $40\ \text{g}$ of salt into a glass with $100\ \text{mL}$ of water and stir well, as shown in the figure.

100 mL of water 40 g of salt Solubility: 36 g/100 mL undissolved: ? g
  1. a) Does all the salt dissolve?
  2. b) How many grams remain undissolved at the bottom?
  3. c) What is a solution that can no longer dissolve any more solute called?
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The solubility of sugar increases significantly with temperature: at $60\ \celsius$ up to $290\ \text{g}$ can be dissolved in $100\ \text{mL}$ of water, but at…

The solubility of sugar increases significantly with temperature: at $60\ \celsius$ up to $290\ \text{g}$ can be dissolved in $100\ \text{mL}$ of water, but at $20\ \celsius$ only up to $200\ \text{g}$, as shown in the graph.

0 20 40 60 80 0 100 200 300 temperature (°C) solubility (g/100 mL) 200 g at 20 °C 290 g at 60 °C

You prepare a syrup with $250\ \text{g}$ of sugar in $100\ \text{mL}$ of hot water at $60\ \celsius$.

  1. a) At $60\ \celsius$, does all the sugar dissolve?
  2. b) You allow the syrup to cool to $20\ \celsius$. What will happen? How many grams of sugar will crystallize?
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Gases dissolve less well in hot water than in cold water: unlike solids, their solubility decreases as the temperature rises. a) Use this fact to explain why fish in a…

Gases dissolve less well in hot water than in cold water: unlike solids, their solubility decreases as the temperature rises.

  1. a) Use this fact to explain why fish in a pond come up to the surface to gulp air in summer.
  2. b) If you heat a saucepan of water to cook pasta, tiny bubbles appear long before boiling. What are these bubbles?
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The solubility of potassium nitrate is $85\ \text{g}$ per $100\ \text{mL}$ of water at $50\ \celsius$, but only $32\ \text{g}$ per $100\ \text{mL}$ at $20\ \celsius$. In…

The solubility of potassium nitrate is $85\ \text{g}$ per $100\ \text{mL}$ of water at $50\ \celsius$, but only $32\ \text{g}$ per $100\ \text{mL}$ at $20\ \celsius$. In the lab, you dissolve $80\ \text{g}$ of potassium nitrate in $100\ \text{mL}$ of hot water at $50\ \celsius$.

  1. a) Does everything dissolve at that temperature? Justify your answer using the data.
  2. b) You allow the glass to cool to $20\ \celsius$. How much potassium nitrate can remain dissolved?
  3. c) How many grams will appear as crystals at the bottom? Explain what happened upon cooling.
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Concentration as a percentage by mass

A teaspoon of salt dissolved in a big pot of pasta water is barely noticeable, but that same teaspoon in half a glass of water is undrinkable: how can we measure, numerically and precisely, the proportion of solute in a mixture?

Scientists describe concentration as how much solute is in a given amount of solution. Besides percentage by mass, it is often given in grams of solute per liter of solution (g/L): concentration $= \dfrac{\text{grams of solute}}{\text{liters of solution}}$.

So, in a solution, the solvent is the substance present in the largest amount and the one that does the dissolving, the solute is the substance that dissolves, and the concentration tells how much solute there is per amount of solution.

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Complete the sentence with the missing words: "In a solution, the $\dots$ is the substance present in the largest amount and is the one that dissolves; the $\dots$ is…

Complete the sentence with the missing words: "In a solution, the $\dots$ is the substance present in the largest amount and is the one that dissolves; the $\dots$ is the substance that dissolves; and the $\dots$ tells us how many grams of solute there are per liter of solution."

Solve

Back to the start: If Emma's two spoonfuls of sugar weigh $20\ \text{g}$ and the water in the glass weighs $180\ \text{g}$, the mixture has a concentration of $\frac{20}{200} \cdot 100 = 10\ \%$ by mass: that percentage is the exact numerical measure of how sweet it is.

Summary

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