GCSE · Chemistry · Edexcel · Spec 1CH0

Concentration of solutions in g/dm3

One spoonful of sugar in a glass of water, five spoonfuls in an identical glass. Same water, same glass, very different drinks. That difference is concentration.

Add water. Count the dots.

Concentrated

Distilled water added: 0 cm³. State: Concentrated. static

Distilled water added0 cm³

Lots of solute particles crowded into this volume. Many particles in the volume means a high concentration.

Each dot is a solute particle in a salt solution (the solvent isn't drawn). Slide to add distilled water and watch what happens to the particles.

Watch out: Dilution changes the volume, not the amount of solute. If you think the solute has gone, count the dots: it's the same number before and after.

Chemistry · Which idea is yours?

What does dilution really do?

A beaker of salt solution has had distilled water added to it.

Which of these is closest to what you think?
How sure are you?

Chemistry · Volume units

1000 cm³ = 1 dm³
0 cm³200 cm³400 cm³600 cm³800 cm³1000 cm³drag the handle →

Share of 1 dm³: 5/10. Volume in cm³ 500 cm³. Volume in dm³ 0.500 dm³. Volume in litres 0.500 litres

Volume in cm³500 cm³Volume in dm³0.500 dm³Volume in litres0.500 litres

Concentration wants its volume in dm³. Drag along one whole dm³ and watch the same volume written in cm³, in dm³ and in litres.

Watch out: cm³ to dm³ means divide by 1000. Multiplying by 1000 takes you the other way, from dm³ to cm³.

Concentration triangle

Tap a quantity to cover it and see how to find it.

Tap the quantity you want to find. The triangle shows you the formula.

÷

Cover mass of solute, concentration or volume of solution to reveal its rearranged formula, then plug in numbers to solve.

Worked example: finding a concentration

Problem

15 g of sodium chloride is dissolved in 0.35 dm³ of water. What is the concentration of the solution in g/dm³? Give your answer to two significant figures.

Chemistry · Your turn

How much solute do you need?

A technician wants 250 cm³ of a solution with a concentration of 2.3 g/dm³. What mass of solute should be dissolved? Give your answer to two significant figures.

  1. We want the mass of solute, and we've been given the concentration (2.3 g/dm³) and the volume (250 cm³). Before any multiplying, check the units: concentration is in g/dm³, so the volume must be in dm³, and it was given in cm³.
  2. missing step
Which line is step 2?

WHAT YOU'VE LEARNED

A quick recap of today's lesson.

Add water and the same particles spread out. Then we'll put a number on it, in g/dm³.

What you need to know

  • The solute is the substance that dissolves; the solvent is what it dissolves into. In an aqueous (aq) solution, that's water.
  • Concentration is the amount of solute dissolved in a certain volume of solvent: solute particles per volume.
  • In the same volume, few solute particles means a low concentration and many means a high concentration.
  • Adding distilled water dilutes a solution: the volume of solvent grows, the same solute particles spread out, and nothing else is added.
  • Have a goSam adds distilled water to a beaker of salt solution and announces, “Brilliant, I've got rid of some of the salt.” What has actually happened to the salt particles, and to the concentration?

    The salt particles are all still there, just spread through a bigger volume, so the concentration falls.

    Distilled water only increases the volume of solvent; no solute is removed. Fewer particles in each bit of volume is what lowers the concentration.

  • Concentration and strength are different things in chemistry. Concentration is about particles spread through a specific volume of liquid.
  • Volume goes in dm³: 1000 cm³ = 1 dm³ = 1 litre. Divide by 1000 for cm³ to dm³, multiply for dm³ to cm³.
  • Mass goes in grams, usually measured on a balance. mg to g: divide by 1000. kg to g: multiply by 1000.
  • Have a goQuick conversions: turn 750 cm³ into dm³, and 40 mg into g.

    750 cm³ = 0.750 dm³ and 40 mg = 0.04 g.

    Both conversions divide by 1000: cm³ to dm³ and mg to g. Multiplying by 1000 is for the opposite directions, such as dm³ to cm³ and kg to g.

  • Concentration = mass of solute ÷ volume, with mass in g and volume in dm³ giving g/dm³ (also written g dm⁻³).
  • Rearranged: volume = mass ÷ concentration, and mass of solute = concentration × volume.
  • Have a goA solution has a concentration of 5 g/dm³. How many grams of solute are in 3 dm³ of it? Decide which way round the equation goes first.

    15 g (5 × 3).

    We want the mass, so mass of solute = concentration × volume. The units already match (g/dm³ with dm³), and dividing would give the rearrangement for concentration or volume instead.

  • Strategy: choose the equation for what you're finding, convert to g and dm³, then substitute and solve.

The big picture

Concentration says how much solute is dissolved in a certain volume of solvent, so it's about how crowded the solute particles are. Adding distilled water spreads the same particles through more volume, so the concentration falls. In calculations, concentration = mass of solute ÷ volume, with the mass in g and the volume in dm³ to give g/dm³.

Key points

1Concentration = mass of solute ÷ volume, with the mass in g and the volume in dm³, so the answer is in g/dm³.
2Diluting with distilled water spreads the same solute particles through a larger volume, so the concentration falls.
3Convert before you calculate: divide cm³ by 1000 to get dm³, and divide mg by 1000 to get g.
4Rearranged: volume = mass ÷ concentration, and mass of solute = concentration × volume.

Worked example

Problem

What volume is needed to dissolve 1.78 g of potassium sulfate to give a solution with a concentration of 1.10 g/dm³? Give your answer in dm³ to two significant figures.

⚠ Watch out

Putting a volume in cm³ straight into the equation. Concentration is in g/dm³, so the volume must be in dm³ first. Skip the conversion and your answer is out by a factor of 1000.

🧠

Memory hook

Grams on top, dm³ underneath: convert first, then divide.

✓

Check yourself

A solution contains 0.60 g of solute in 300 cm³ of water. Convert the volume first, then find the concentration in g/dm³. (Check: 300 cm³ is 0.300 dm³, and 0.60 ÷ 0.300 = 2.0 g/dm³.)

Flashcards

(12)
In a solution, what is the solute and what is the solvent?
The solute is the substance that has dissolved. The solvent is the substance it dissolves into. In an aqueous solution (state symbol aq), the solvent is water.
What does concentration measure?
The amount of solute dissolved in a certain volume of solvent: a ratio of solute particles to the volume of solvent they are dissolved in.
Same volume of solvent, more solute particles. What happens to the concentration?
It goes up. Few solute particles in the volume is a low concentration; many is a high concentration.
Why does adding distilled water make a solution less concentrated?
It increases the volume of the solvent, which spreads the same solute particles out in a larger volume.
Why dilute with distilled water rather than any water?
Distilled water means no other substances are present, so the solvent is still the same and the solute particles are the same.
Are concentration and strength the same thing?
No. They are different things in chemistry. Concentration is a measure of particles spread through a specific volume of liquid.
1 dm³ equals how many cm³, and what else is 1 dm³ equal to?
1000 cm³ (1000 mL), which is also one litre.
How do you convert cm³ to dm³, and dm³ to cm³?
cm³ to dm³: divide by 1000. dm³ to cm³: multiply by 1000. For example, 500.0 cm³ is 0.500 dm³.
How do you convert mg to g, and kg to g?
mg to g: divide by 1000. kg to g: multiply by 1000.
What is the standard unit for concentration, and what does it show?
Grams per cubic decimetre, g/dm³ (or g dm⁻³). It's a ratio of mass to volume.
Write the concentration equation with its units, then both rearrangements.
concentration (g/dm³) = mass of solute (g) ÷ volume (dm³). Rearranged: volume = mass ÷ concentration, and mass of solute = concentration × volume.
What are the steps for a concentration calculation?
Choose the equation for what you're finding. Identify the values and convert them to g and dm³ where needed. Put the values into the equation and solve.

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