Environmental Design & Evidence-Based Capstone — Practice · Grade 12 Science

Chapter: Conservation, Systems & Environmental Design

What this practice covers

By the end of Environmental Design & Evidence-Based Capstone you should be able to:

8 questions, numeric and written answer, each with a worked explanation.

Vocabulary used: baseline, sensitivity analysis, simple payback.

Problem 1

A20W reduction runs 1500h/year. Find saved energy.
Hints

Write the relationship first; substitute with consistent units.

Answer and explanation

30 kWh/year

.020×1500=30.

Problem 2

Why keep a baseline in a comparison?
Answer and explanation

It makes change and added benefit measurable rather than assuming every new option is better.

Response criteria

  • State a scientifically accurate conclusion.
  • Show the calculation or mechanism that supports it.
  • Include units, conditions, or limits where relevant.

Problem 3

An upgrade costs 500 units and saves 100 units/year. Find simple payback.
Hints

List the given quantities, select a relationship, and check units before substituting.

Answer and explanation

5 years

500/100=5, excluding other costs.

Problem 4

Cost 900 units,annual savings 300. Find simple payback.
Hints

Write the relationship first; substitute with consistent units.

Answer and explanation

3 years

900/300=3.

Problem 5

An initial concentration is 10 mg/L and removal is 40%. Find final concentration. Show the reasoning, not just the conclusion.
Hints

Use provided datasets for analysis; do not consume experimental treated water.

Answer and explanation

10×(1−0.40)=6 mg/L; this calculation alone does not establish safety.

Problem 6

What should an evidence-based design report include?
Hints

State what the supplied observations or conditions establish, and separate that from any assumption.

Answer and explanation

Problem, criteria, mechanism, alternatives, methods, data, uncertainty, trade-offs, limitations and a monitoring/revision plan tied to measurable outcomes.

Problem 7

Test alternatives and sensitivity before choosing oneTest alternatives and sensitivity before choosing oneEqual-service optionAnnual energyUp-front inputConstraint checkA120 units40 unitsMeets statedserviceB90 units80 unitsTest repair /accessDifference30 units/year40 extra unitsBreak-even≈1.33yearsA ranking remains conditional on lifespan and comparable service.
Hypothetical energy-only comparison with equal service assumed; not real product data.
Interpret the supplied visual. What if B lasts only one year before replacement?
Answer and explanation

Its 40-unit extra up-front burden exceeds its 30-unit one-year saving, before replacement impacts and other criteria are considered.

An alternatives analysis compares multiple feasible designs under the same service definition. Here B uses 30 fewer energy units per year but has 40 additional up-front units, giving an energy break-even around 1.33 years if conditions persist. Lifespan, maintenance and service quality can change that conclusion. Examine a plausible range and identify what would reverse the ranking; report non-energy criteria alongside the selected account rather than hiding them inside one unsupported score.

Its 40-unit extra up-front burden exceeds its 30-unit one-year saving, before replacement impacts and other criteria are considered.

Response criteria

  • Interpret labels, structures, axes, units and directions correctly.
  • Explain the physical or environmental relationship or mechanism.
  • Respect stated assumptions and distinguish observation from inference.

Problem 8

A proposed change saves 12 W for 1500 h/year while providing the same service. Its extra production energy is 24 kWh. Find annual saving and energy break-even; name one pilot measure beyond energy.
Answer and explanation

Annual saving=0.012×1500=18 kWh. Energy break-even=24/18≈1.33 years under fixed use/lifespan assumptions. Measure service adequacy, reliability, actual hours, access or maintenance as a separate pilot outcome.

Annual saving=0.012×1500=18 kWh.

Energy break-even=24/18≈1.33 years under fixed use/lifespan assumptions.

Measure service adequacy, reliability, actual hours, access or maintenance as a separate pilot outcome.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the physical or environmental mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

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