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SCIENCE · INVESTIGATE AND EXPLAIN

Distinguish efficiency from conservation and rebound

Compute service-based energy savings while checking changed use and omitted burdens.

Learning outcome: Compute service-based energy savings while checking changed use and omitted burdens.

Starting recap

Watts measure a rate; kilowatt-hours measure energy over time.

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Try

A 10 W lamp for 4 h/day uses 14.6 kWh/yr versus 87.6 for 60 W at the same schedule.

Open the experiment

Predict

Can longer operation offset the benefit of a lower-power lamp?

Experiment

Compare 10 W for 4 and 8 hours/day; then 25 W for 10 hours. Retain the equal-illumination assumption and distinguish savings from a real product recommendation.

Compare efficient equipment with changed use

Worked teaching model · synthetic values · Baseline lamp60W for4h/day; alternative is assumed to provide equal useful illumination while on.365days/yr, no standby draw. Annual energy and assigned tariff0.20 currency units/kWh only; no product recommendation or full lifecycle accounting.

Reset keeps your prediction, captures and practice history.

Original synthetic system; units differ by row
QuantityValueUnit
Baseline annual electricity87.6kWh/yr
Alternative annual electricity14.6kWh/yr
Annual electricity saved73kWh/yr
Percent baseline electricity saved83.33333%
Assigned annual operating-cost saving14.6currency units/yr

The alternative uses less annual electricity under the stated schedule.

Efficiency means less input for a comparable service; conservation can reduce service demand or avoid waste. Actual rebound, comfort, access, embodied impacts and tariff details require evidence beyond watts.

Predict, change one control, and save contrasting captures. Reconstruct the balance with units; then explain a process the ledger deliberately leaves out. Display precision is not measurement precision.

The alternative uses less annual electricity under the stated schedule.

Efficiency means less input for a comparable service; conservation can reduce service demand or avoid waste. Actual rebound, comfort, access, embodied impacts and tariff details require evidence beyond watts.

Captures preserve recipes and replay their calculated results. They are synthetic model evidence, not physical measurements.

Understand

Define the service being compared

Energy efficiency means using less energy for a comparable service. Conservation can reduce demand for a service or avoid unnecessary use. A lamp drawing fewer watts is not automatically more efficient if it provides much less useful illumination. This original comparison stipulates equal illumination while on, then separately changes operating hours. That keeps equipment performance and behavior from being silently mixed.

Convert power into energy

One watt is one joule per second. One kilowatt-hour is 1000 watts sustained for 3600 seconds, or 3.6 million joules. A 60 W baseline lamp operated four hours daily uses 60×4×365/1000=87.6 kWh/yr. A 10 W alternative on the same schedule uses 14.6 kWh. Annual saving is 73 kWh, or 83.33% of the baseline. At an assigned tariff 0.20 currency units/kWh, operating-cost saving is 14.6 currency units per year, not a current market price.

Change behavior and inspect rebound

At 10 W for eight hours daily, use becomes 29.2 kWh: still lower than baseline, but savings fall to 58.4 kWh. At 25 W for ten hours daily, use is 91.25 kWh, exceeding the baseline despite lower instantaneous power. These are controlled scenarios, not estimates of how people actually respond to efficiency improvements. Observed rebound requires behavioral evidence and a counterfactual.

Compare other conservation pathways

Insulation and air sealing can reduce unwanted building heat transfer; controls and maintenance can reduce unnecessary operation. Efficient motors and appliances can provide a service with lower energy input. Public transport, active travel and shared trips can change transport demand and occupancy, while land-use planning affects trip length. Passive building design can change heating or cooling needs. Each proposal needs a comparable service, climate and usage boundary rather than a universal percentage saving.

Include costs and displaced effects honestly

Operating-energy savings are not a full lifecycle comparison. Manufacturing, installation, replacement, disposal and accessibility matter. A simple payback divides an extra upfront cost by annual operating savings, but does not include financing, changing tariffs, maintenance or the time value of money. If the annual saving is zero or negative, that simple positive-payback calculation is not applicable. This lesson is arithmetic practice, not financial advice or a product recommendation.

Transfer and feedback

A 20 W device runs five hours daily, using 36.5 kWh/yr. An alternative 10 W device runs six hours, using 21.9 kWh and saving 14.6. At the assigned 0.20 tariff, saving is 2.92 per year. With a hypothetical extra cost 14.60, simple payback is five years under unchanged assumptions. Name two conditions that could invalidate that projection and distinguish an energy calculation from a purchasing decision.

Match an energy-saving mechanism to a service

Thermostat changes can reduce heating or cooling demand within appropriate comfort and health constraints; conserving heated water reduces both water and heating needs. Shading and climate-appropriate landscaping can change building heat gains. Efficient vehicles, battery-electric and hybrid systems, public transport and green-building designs address different conversion, occupancy and heat-transfer pathways. A vehicle label alone does not establish lifecycle savings: electricity generation, distance, occupancy and manufacture matter.

In an original hot-water packet, reducing heated volume from 100 to 80 units at the same temperature rise and heater efficiency reduces that heating requirement by 20%. If the temperature rise increases by 25%, the product 0.8×1.25 returns to 1: no heating-energy reduction remains under those assumptions. Compare a fictional vehicle trip using 20 energy units for one rider with a shared trip using 30 for three: per-rider use falls from 20 to 10 despite higher trip total. These supplied comparisons illustrate boundaries, not instructions to change safe water temperatures or medical comfort settings.

Sources and evidence boundary

Original explanations and synthetic numerical packets. Framework checked 30 October 2026 against the AP course map. Mechanism references: EIA energy units; DOE energy terminology. Saved calculations are practice, not an observed field experiment, plant safety analysis, equipment authorization or independent mastery.

Exact-clause reconciliation checked 31 October 2026 against the official framework, with Fall 2026 corrections and explicit scientific qualifications.

Apply

10 W for 4 h/day for 365 days consumes:

Public practice checks a specific claim. It does not establish independent mastery.

Reconstruct two controlled captures with units, explain the conversion mechanism and challenge a claim using a changed boundary or time scale. Compute service-based energy savings while checking changed use and omitted burdens.

Continue

Completion requires a saved prediction, at least one capture and a reflection. Presence checks do not grade your reasoning.

Skipping retains experiments and awards no mastery.

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