Surface overflow rate m3 m2 d
surface_overflow_rate_m3_m2_d
Calculated surface overflow rate
Scores if within ±3% of the reference value.
Calculates clarifier surface overflow rate from flow and plan area, then compares the result with an explicit maximum design criterion. The template reports hydraulic loading, utilisation, margin, and a numeric criterion flag.
with-tool: The model is given an executable Python calculator script.
Standards
One template produces many comparable benchmark tasks while keeping the scoring contract fixed.
01
The reusable contract shown on this page.
02
An archetype and site context are sampled.
03
Inputs may be hidden at harder tiers.
04
The model responds with the declared outputs.
Inputs the model receives, and the outputs it is scored on.
3 inputs
Included directly in every task prompt.
Flow rate
flow_rate_m3_d
Flow rate to the clarifier
Clarifier surface area
clarifier_surface_area_m2
Clarifier plan surface area
Maximum sor
maximum_sor_m3_m2_d
Maximum allowable surface overflow rate criterion
4 outputs
surface_overflow_rate_m3_m2_d
Calculated surface overflow rate
Scores if within ±3% of the reference value.
utilisation_ratio
Ratio of calculated SOR to maximum criterion
Scores if within ±3% of the reference value.
compliance_margin_m3_m2_d
Positive margin below the maximum criterion
Scores if within ±3% of the reference value.
criterion_satisfied
Numeric flag where 1 means the criterion is satisfied
Scores if within ±1% of the reference value.
Each template is sampled at three tiers. Harder tiers may hide inputs, forcing the model to infer them from the scenario description.
For this template, difficulty scales through parameter and scenario ranges rather than hidden information.
The exact instruction and parameter contract used to generate this task, pinned to the published library source.
/workspace
Teal lines show Jinja input conditions, not task visibility policy. A line renders only when that input or tool is visible.
1You are a senior mechanical engineer specializing in water and wastewater treatment.2 3## Problem4 5Calculate surface overflow rate for a clarifier and compare it with an explicit maximum design criterion.6 7## Given8 9| Parameter | Value | Unit |10|-----------|-------|------|11| Flow rate | {{ flow_rate_m3_d }} | m3/d |12| Clarifier surface area | {{ clarifier_surface_area_m2 }} | m2 |13| Maximum surface overflow rate | {{ maximum_sor_m3_m2_d }} | m3/m2.d |14 15{% if archetype_description is defined %}16### Clarifier Context17 18{{ archetype_description }}19{% endif %}20 21{% if tool_available %}22## Available Tool23 24A surface overflow rate calculation tool is available at `/workspace/{{ meta.name }}_calc.py`. Run it with:25 26```bash27python3 /workspace/{{ meta.name }}_calc.py --help28```29 30You may use this tool to verify your calculations or compute values directly.31{% endif %}32 33## Required34 35Calculate the following:36 371. Surface overflow rate in m3/m2.d382. Utilisation ratio against the maximum criterion393. Compliance margin in m3/m2.d404. Numeric criterion flag, where 1 means satisfied and 0 means not satisfied41 42## Constraints43 44- No internet access is available. Work from engineering knowledge and the provided tool.45- Use surface overflow rate = flow rate / clarifier surface area.46- Use utilisation ratio = surface overflow rate / maximum surface overflow rate.47- Use compliance margin = maximum surface overflow rate - surface overflow rate.48 49## Output Format50 51Show your step-by-step working in Markdown. At the end of your solution, include a JSON block with your final answers in exactly this format:52 53```json54{55 "surface_overflow_rate_m3_m2_d": <numeric_value>,56 "utilisation_ratio": <numeric_value>,57 "compliance_margin_m3_m2_d": <numeric_value>,58 "criterion_satisfied": <numeric_value>59}60```61 62Write your complete solution to `/workspace/output.md`.63 64 Each generated task is drawn from one of these realistic scenario bands.
Site contexts ground each scenario in a real locale the model can use to infer hidden values.
secondary_clarifier
Secondary clarifier hydraulic loading check
water_treatment_clarifier
Water treatment clarifier hydraulic loading check
water-treatment-plant-water-treatment-clarifier-preview — hard difficulty, all inputs given.
Water treatment clarifier hydraulic loading check. water-treatment-plant. Required outputs: surface_overflow_rate_m3_m2_d, utilisation_ratio, compliance_margin_m3_m2_d, criterion_satisfied
Scenario context and visible inputs.
Executable tool: sor-calculation_calc.py
Inputs withheld at this difficulty.
Nothing. All inputs are supplied.
The scored JSON answer schema.
{
"surface_overflow_rate_m3_m2_d": <number>,
"utilisation_ratio": <number>,
"compliance_margin_m3_m2_d": <number>,
"criterion_satisfied": <number>
}