Defend a watershed claim across competing evidence
Distinguish concentration, load and causal evidence before selecting an intervention.
Learning outcome: Distinguish concentration, load and causal evidence before selecting an intervention.
Starting recap
Use balances, causal comparisons, environmental mechanisms and explicit evidence limits from all nine topic categories.
All lessons are open directly. Your saved experiments remain when you leave and return.
Try
At 2000 m³/day and 2 mg/L, treatment load remains 4 kg/day despite concentration falling from 4 to 2 mg/L. Comparison load falls from 3 to 2 kg/day.
Open the experimentPredict
Can a lower concentration coexist with unchanged delivered mass?
Experiment
Hold concentration 2 mg/L and compare flows 1000 and 3000. Calculate both change contrasts; retain captures and write an original sampling plan before inspecting worked feedback.
Audit concentration and load evidence
Worked teaching model · synthetic values · Original treatment site before flow 1000 m³/day and concentration 4 mg/L; comparison concentration before 3 and after 2 mg/L, both at 1000 m³/day. Load kg/day=flow×concentration/1000. Two sites/times do not establish causation; no measured field data.
Reset keeps your prediction, captures and practice history.
| Quantity | Value | Unit |
|---|---|---|
| Treatment before load | 4 | kg/day |
| Treatment after load | 4 | kg/day |
| Treatment concentration change | -2 | mg/L |
| Comparison concentration change | -1 | mg/L |
| Difference of concentration changes | -1 | mg/L |
| Treatment load change | 0 | kg/day |
| Comparison load change | -1 | kg/day |
| Difference of load changes | 1 | kg/day |
Concentration and delivered mass can support different claims.
Before/after subtraction with a comparison removes only a shared additive change under a strong counterfactual assumption. Flow, sampling and upstream changes can confound the interpretation; replicate sites and times and preserve original evidence.
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.
Concentration and delivered mass can support different claims.
Before/after subtraction with a comparison removes only a shared additive change under a strong counterfactual assumption. Flow, sampling and upstream changes can confound the interpretation; replicate sites and times and preserve original evidence.
Captures preserve recipes and replay their calculated results. They are synthetic model evidence, not physical measurements.
Understand
Apply
Public practice checks a specific claim. It does not establish independent mastery.
Identify a changed-case result that would reverse your recommendation. Retain the first response and explain the revision rather than overwrite it.
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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