Solution Calculations (SQA National 5 Chemistry): Revision Note

Exam code: X813 75

Philippa Platt

Written by: Philippa Platt

Reviewed by: Richard Boole

Updated on

Solutions

What is a solution?

  • A solution is formed when a substance called the solute dissolves in a liquid called the solvent.

    • Solute: The substance that dissolves (e.g., sodium chloride)

    • Solvent: The liquid it dissolves in (e.g., water)

A solution

Diagram of a solution with solute particles labeled as sodium chloride and solvent as water, showing a beaker with a solution.
A solution is formed when a solute dissolves in a solvent
  • Concentration is a measure of how much solute is dissolved in a certain volume of solvent

    • A high concentration means there is a lot of solute

    • A low concentration (a dilute solution) means there is very little

  • We measure concentration in moles per litre

    • The units can be written as mol/l or mol l⁻¹

The concentration triangle

  • Just like with mass and moles, there is a relationship between the number of moles (n), concentration (c), and volume (v)

  • We can use a triangle to help with the calculations

Triangle diagram illustrating the relationship between moles, concentration (mol l⁻¹), and volume (l) with moles at the top section.
To use the triangle cover up the quantity you want to calculate to reveal the formula.
  • To find moles (n):

    • Cover n. You are left with C beside V.

n = c × v

  • To find concentration (c):

    • Cover c. You are left with n over v.

c = n / v

  • To find volume (v):

    • Cover v. You are left with n over c.

v = n / c

Examiner Tips and Tricks

A very common exam mistake is forgetting to convert volumes

In the formula n = c x v, the volume (v) must be in litres.

  • Questions often give you the volume in millilitres (ml) or cubic centimetres (cm³)

To convert cm³ or ml to litres, you must divide by 1000

  • 500 / 1000 = 0.5 l

  • 25 ml = 25 / 1000 = 0.025 l

Worked Example

Calculating concentration

Calculate the concentration of a solution made by dissolving 10 g of sodium hydroxide, NaOH, in 250 cm³ of water.

[3]

  • Calculate moles (n):

GFM of NaOH = 23 + 16 + 1 = 40

n = mass / GFM

n = 10 / 40 = 0.25 moles [1 mark]

  • Convert volume to litres (v):

v = 250 cm³

250 / 1000 = 0.25 l [1 mark]

  • Calculate concentration (c):

c = n / v

c = 0.25 / 0.25

c = 1 mol l⁻¹ [1 mark]

Worked Example

Calculating mass

What mass of potassium chloride, KCl, is needed to make 500 cm³ of a 0.2 mol l⁻¹ solution?

  • Convert volume to litres (v):

v = 500 cm³ = 500 / 1000 = 0.5 l [1 mark]

  • Calculate moles (n):

Use the concentration triangle: n = c x v

n = 0.2 x 0.5 = 0.1 moles [1 mark]

  • Calculate mass:

GFM of KCl = 39 + 35.5 = 74.5

mass = n x GFM

mass = 0.1 x 74.5

mass = 7.45 g [1 mark]

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Philippa Platt

Author: Philippa Platt

Expertise: Chemistry Content Creator

Philippa has worked as a GCSE and A level chemistry teacher and tutor for over thirteen years. She studied chemistry and sport science at Loughborough University graduating in 2007 having also completed her PGCE in science. Throughout her time as a teacher she was incharge of a boarding house for five years and coached many teams in a variety of sports. When not producing resources with the chemistry team, Philippa enjoys being active outside with her young family and is a very keen gardener

Richard Boole

Reviewer: Richard Boole

Expertise: Chemistry Content Creator

Richard has taught Chemistry for over 15 years as well as working as a science tutor, examiner, content creator and author. He wasn’t the greatest at exams and only discovered how to revise in his final year at university. That knowledge made him want to help students learn how to revise, challenge them to think about what they actually know and hopefully succeed; so here he is, happily, at SME.