B2.3

Should we switch?

Indicative relationship: Activate 1 · contextual consolidation
KS3 science lesson

Should we switch?

Lesson focus: Is changing a material always an environmental improvement?

Learning objective

Compare materials using evidence across their .

Build on earlier learning

Evaluating data

Support a judgement with data and identify a specific limitation.

You will be successful when you can…

  • Name life-cycle stages.
  • Calculate cumulative energy totals.
  • Find a break-even point.
  • State a specific model limitation.
KEY VOCABULARY

Words that carry the science

life cycle
Stages from raw material extraction to manufacture, use and end of life.
cumulative
A total that increases as further amounts are added.
functional unit
A defined service used to make alternatives comparable.
biodegradable
Able to be broken down by microorganisms under specified conditions.
trade-off
A benefit in one area accompanied by a cost in another.
BUILD YOUR UNDERSTANDING

Compare equal services across a whole life cycle

01Compare the same service

One bottle versus one bottle can be unfair if one is reused. Define a such as supplying one litre of drink on 20 occasions.

02Totals change with use

In the simplified model, reusable energy is 100 + 2n and disposable energy is 10n, where n is the number of uses. Initial manufacture and repeated-use costs must both be counted.

03Models have boundaries

Transport, washing method, breakage, recycled content and end-of-life routes can alter the result. Bio-based does not necessarily mean , and biodegradation depends on conditions.

A graph compares disposable bottles at ten energy units per use with a reusable bottle requiring one hundred units initially and two further units per use. The lines cross at 12.5 uses.02468101214161820020406080100120140160180200crossover: 12.5 usesdisposable: 10nreusable: 100 + 2nNumber of uses, nCumulative energy / arbitrary units
Figure · Illustrative teaching model: reusable = 100 + 2n and disposable = 10n. The reusable option first has the lower total at 13 whole uses; real decisions also require transport, washing, breakage and end-of-life evidence.
WORKED EXAMPLE

Find the first lower whole-use total

Reusable = 100 + 2n; disposable = 10n.

  1. Set reusable lower: 100 + 2n < 10n.
  2. Subtract 2n: 100 < 8n.
  3. Divide by 8: n > 12.5.
  4. The first whole number satisfying this is 13 uses; totals are 126 and 130 units.

How to make the reasoning visible: The crossover occurs between 12 and 13 uses, so the first lower reusable total is at use 13.

LEARN BY DOING

Life-cycle comparison

All values are illustrative energy units.

UsesReusable totalDisposable totalLower in model
110210Disposable
511050Disposable
13126130Reusable
20140200Reusable
  1. Why is 12 uses not enough for the reusable bottle to be lower?

  2. Name one omitted factor and its likely direction of effect.

  3. Use the illustrative model. After how many uses is the reusable bottle the lower-energy choice?

RETRIEVE · APPLY · CHECK

Check your understanding

Answer from memory, then check against the suggested answer.

What is a life cycle?

What is cumulative energy?

What is a functional unit?

What does biodegradable mean?

What does cumulative mean?

Apply the idea

A reusable bottle breaks after eight uses. What does this model suggest?

Stretch and challenge

Why might a lower energy total still not settle the overall environmental choice?

Why is a reusable bottle only better if it is actually used many times?

Exam Question Practice

B2.3Evaluate5 marks

Exam Question Practice

Mark points shown after marking

Illustrative data: a reusable bottle needs 100 energy units to make and 2 units to wash for each use. A disposable bottle needs 10 units for each use.

(a)

Calculate the total energy for the reusable bottle after 20 uses.

(1)
energy units
(b)

Calculate the total energy for disposable bottles over 20 uses.

(1)
energy units
(c)

How many energy units lower is the reusable bottle after 20 uses?

(1)
energy units
(d)

Evaluate the choice of the reusable bottle using this model.

(2)

Total for this question: 5 marks

Command word: Evaluation combines calculation, comparison, limitation and a conditional judgement.

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