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Mathematical Skills in Chemistry

  • 9 subtopics
  • 23 things to know
  • Components 01, 02 and 03

What Mathematical Skills in Chemistry covers

The mathematical requirements, assessed across all three components: units and standard form, handling data and significant figures, rearranging and substituting into the standard equations, reading graphs and spectra, and the geometry of molecules.

Where it is assessed

Components 01, 02 and 03

Storyline content, drawn on by all three written papers.

Check the OCR specification ↗

The 9 subtopics

Each one has its own page.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

How is 750 cm³ converted to dm³, and what are the units of Kc for the ammonia and the hydrogen iodide equilibria?

Numbers

What amount is 3.01 × 10²² atoms, what is the percentage yield when 3.30 g is obtained from a 4.40 g theoretical yield, and why can a percentage yield never exceed 100%?

Numbers

Why does an addition reaction have 100% atom economy, how does Kc change when an exothermic reaction is heated, and what is the estimated mass of 0.49 mol of calcium carbonate (Mᵣ 100)?

Numbers

A solution has pH 3.40. What is [H⁺]?

Numbers

Why can a 0.10 mol dm⁻³ solution of a weak acid not have a pH of 1.0?

Numbers

How many significant figures are in 0.00340 and in 250.0, and what is the mean of three concordant titres?

Evaluation

A solid is weighed by difference on a balance whose readings are uncertain by ±0.005 g. What is the uncertainty in the mass transferred?

Key term

Why must the isotopic abundances used in such a calculation add up to 100%?

Numbers

How are n = cV, pV = nRT and q = mcΔT rearranged to make concentration, temperature and temperature change the subject?

Numbers

Rearrange pH = −log[H⁺] to make [H⁺] the subject.

Numbers

What is the pH of a solution in which [H⁺] = 5.0 × 10⁻⁴ mol dm⁻³?

Numbers

Methanoic acid has Kₐ = 1.6 × 10⁻⁴ mol dm⁻³. What is its pKₐ?

Numbers

What are the axes of a mass spectrum and of an infrared spectrum, and what does a strong absorption near 1700 cm⁻¹ suggest?

Numbers

Where are time and the volume of gas evolved plotted, what do the gradient and intercept of an Arrhenius plot give, and what is Eₐ for a gradient of −7.20 × 10³ K?

Numbers

The same plot has an intercept of ln A = 30.0. What is A for this first-order reaction?

Numbers

A gas is evolved at a constant rate and 60.0 cm³ is collected in 40 s. What is the rate of gas production?

Key term

Place lone pair–lone pair, lone pair–bonding pair and bonding pair–bonding pair repulsions in order of decreasing strength.

Key term

What is the shape of a six-coordinate aqua complex of a transition metal, and what are the bond angles?

Key term

Give the bond angle around each carbon atom in diamond and in a layer of graphite.

Key term

What is the bond angle within a benzene ring, and what shape is the molecule?

Process

In a three-dimensional structural representation, what do a solid wedge and a dashed line indicate?

Process

What structural feature is required for a molecule to show E/Z isomerism?

Process

Which of but-1-ene and but-2-ene shows E/Z isomerism, and why?

Take Mathematical Skills in Chemistry further

The same content, four other ways.

Commonly confused

Pairs that lose marks when they are blurred together.

  • Mean vs Median

    Mean: the sum of the values divided by how many there are. Median: the middle value once the results are placed in order.

  • Significant figures vs Decimal places

    Significant figures: the digits in a value that carry real information about its precision. Decimal places: the count of digits written after the decimal point.

  • Percentage uncertainty vs Percentage error

    Percentage uncertainty: the uncertainty in a measurement expressed as a proportion of that measurement. Percentage error: the difference from the accepted value expressed as a proportion of it.

Questions from this topic

Each one with the model answer underneath.

  1. 1

    Convert 750 cm³ to dm³.

    Model answer

    750 cm³ is 0.750 dm³.

  2. 2

    Give the units of Kc for the equilibrium N₂(g) + 3H₂(g) ⇌ 2NH₃(g).

    Model answer

    Kc = [NH₃]²/([N₂][H₂]³), so the units are (mol dm⁻³)² ÷ (mol dm⁻³)⁴, which simplifies to mol⁻² dm⁶.

  3. 3

    Give the units of Kc for H₂(g) + I₂(g) ⇌ 2HI(g).

    Model answer

    There are two moles of gas on each side, so the concentration units cancel and Kc has no units.

  4. 4

    State the units of the rate constant for a first-order, a second-order and a zero-order reaction.

    Model answer

    They are s⁻¹ for first order, dm³ mol⁻¹ s⁻¹ for second order and mol dm⁻³ s⁻¹ for zero order.

  5. 5

    Express the gas constant 8.314 J mol⁻¹ K⁻¹ in kJ mol⁻¹ K⁻¹.

    Model answer

    It is 8.314 × 10⁻³ kJ mol⁻¹ K⁻¹.

  6. 6

    Write 0.0050 mol dm⁻³ in standard form.

    Model answer

    It is 5.0 × 10⁻³ mol dm⁻³, retaining the two significant figures.

What is inside Levo

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Development of Practical Skills in Chemistry
Elements of Life
Developing Fuels
Elements From the Sea

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Sort every topic into what you know and what you do not, then drill only the weak ones.

A acid is formed.
carboxylicnitricfatty

Blank Blitz makes facts automatic

Rapid timed gap-fills on the terms and numbers you need to recall without thinking.

A3 ⁴₂He → ¹²₆C.
B¹²₆C + ⁴₂He → ¹⁶₈O.
C¹⁶₈O + ⁴₂He → ²⁰₁₀Ne.

Build It gets the exam shape right

Assemble a full-mark answer from its marking points, in the order an examiner wants them.

Nitrogen is +2 in NO and +4 in NO₂.
TrueFalse

Test It catches misconceptions

Spot the fault in a statement. The traps are the mistakes students actually make.

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Brain Breaks between sessions

Short focus games to reset attention, so the next set lands better than the last.

Mathematical Skills in Chemistry revision questions

What does Mathematical Skills in Chemistry cover in OCR A-Level Chemistry B?
9 subtopics: units, standard form and the mole in calculations, yield, atom economy and logarithmic quantities, significant figures, means and handling data, symbols, and rearranging the standard equations, substituting into rearranged equations, reading spectra and kinetics graphs, gradients, calibration lines and the arrhenius plot, shapes and bond angles from electron pair repulsion and chiral centres, e/z isomerism and optical activity. Each one has its own page with questions and model answers.
How is Mathematical Skills in Chemistry organised?
By the OCR H433 specification, subtopic by subtopic, so it matches the order you are taught it in.

Every question in Mathematical Skills in Chemistry, on a schedule.

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