LIVEdataset aec-bench@releasetasks 552models 18last submission … · built …
mechanicalwith-tool

Pump Power Calculation

Calculates pump hydraulic power and shaft power from flow rate, total dynamic head, fluid density, and pump efficiency. The template reports converted flow, hydraulic power, shaft power, and efficiency fraction.

with-tool: The model is given an executable Python calculator script.

Standards

HI 14.6ISO 9906

Tags

deterministichydraulicsmechanicalpowerpump

How this task is generated

One template produces many comparable benchmark tasks while keeping the scoring contract fixed.

  1. 01

    Template

    The reusable contract shown on this page.

  2. 02

    Scenario

    An archetype and site context are sampled.

  3. 03

    Difficulty tier

    Inputs may be hidden at harder tiers.

  4. 04

    Task prompt

    The model responds with the declared outputs.

Parameters

Inputs the model receives, and the outputs it is scored on.

Inputs

4 inputs

Always given

Included directly in every task prompt.

4

  • Flow rate

    flow_rate_l_s

    Pump flow rate

    0.1 – 5000 L/s

  • Total dynamic head

    total_dynamic_head_m

    Total dynamic head

    0.1 – 500 m

  • Fluid density

    fluid_density_kg_m3

    Fluid density

    500 – 1400 kg/m3

  • Pump efficiency pct

    pump_efficiency_pct

    Pump efficiency

    1 – 100 %

Scored outputs

4 outputs

Flow rate

flow_rate_m3_s

Flow rate in cubic metres per second

Scores if within ±3% of the reference value.

Hydraulic power

hydraulic_power_kw

Hydraulic power

Scores if within ±3% of the reference value.

Shaft power

shaft_power_kw

Required shaft power

Scores if within ±3% of the reference value.

Efficiency fraction

efficiency_fraction

Pump efficiency as a fraction

Scores if within ±3% of the reference value.

Difficulty

Each template is sampled at three tiers. Harder tiers may hide inputs, forcing the model to infer them from the scenario description.

All inputs remain visible at every tier

For this template, difficulty scales through parameter and scenario ranges rather than hidden information.

easy:
All parameters given for a water pump
medium:
All parameters given across pump types
hard:
All parameters given for process pumps

Task bundle

The exact instruction and parameter contract used to generate this task, pinned to the published library source.

/workspace

  • instruction.md
  • pump-power-calculation_calc.py

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 pump duty calculations.2 3## Problem4 5Calculate hydraulic pump power and shaft power from flow, head, fluid density, and pump efficiency.6 7## Given8 9| Parameter | Value | Unit |10|-----------|-------|------|11| Flow rate | {{ flow_rate_l_s }} | L/s |12| Total dynamic head | {{ total_dynamic_head_m }} | m |13| Fluid density | {{ fluid_density_kg_m3 }} | kg/m3 |14| Pump efficiency | {{ pump_efficiency_pct }} | % |15 16{% if archetype_description is defined %}17### Pump Context18 19{{ archetype_description }}20{% endif %}21 22{% if tool_available %}23## Available Tool24 25A pump power calculation tool is available at `/workspace/{{ meta.name }}_calc.py`. Run it with:26 27```bash28python3 /workspace/{{ meta.name }}_calc.py --help29```30 31You may use this tool to verify your calculations or compute values directly.32{% endif %}33 34## Required35 36Calculate the following:37 381. Flow rate in m3/s392. Hydraulic power in kW403. Shaft power in kW414. Pump efficiency as a fraction42 43## Constraints44 45- No internet access is available. Work from engineering knowledge and the provided tool.46- Use g = 9.81 m/s2.47- Use hydraulic power = density x g x flow x head.48- Use shaft power = hydraulic power / efficiency fraction.49 50## Output Format51 52Show 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:53 54```json55{56 "flow_rate_m3_s": <numeric_value>,57 "hydraulic_power_kw": <numeric_value>,58 "shaft_power_kw": <numeric_value>,59 "efficiency_fraction": <numeric_value>60}61```62 63Write your complete solution to `/workspace/output.md`.64 65

Scenario archetypes

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.

Water pump

water_pump

Water pump power calculation

water-pump-stationtransfer-pump
Parameter ranges
flow_rate_l_s
5 – 1000
total_dynamic_head_m
5 – 150
fluid_density_kg_m3
990 – 1030
pump_efficiency_pct
45 – 85

Process pump

process_pump

Industrial process pump power calculation

process-plantdosing-pump
Parameter ranges
flow_rate_l_s
1 – 500
total_dynamic_head_m
10 – 250
fluid_density_kg_m3
700 – 1300
pump_efficiency_pct
35 – 80

Example task

process-plant-process-pump-preview — hard difficulty, all inputs given.

Industrial process pump power calculation. process-plant. Required outputs: flow_rate_m3_s, hydraulic_power_kw, shaft_power_kw, efficiency_fraction

The model sees

Scenario context and visible inputs.

flow_rate_l_s
1 to 500 L/s
total_dynamic_head_m
10 to 250 m
fluid_density_kg_m3
700 to 1300 kg/m3
pump_efficiency_pct
35 to 80 %

Executable tool: pump-power-calculation_calc.py

The model must infer

Inputs withheld at this difficulty.

Nothing. All inputs are supplied.

The model must produce

The scored JSON answer schema.

{
  "flow_rate_m3_s": <number>,
  "hydraulic_power_kw": <number>,
  "shaft_power_kw": <number>,
  "efficiency_fraction": <number>
}
  • flow_rate_m3_s · scored within ±3%
  • hydraulic_power_kw · scored within ±3%
  • shaft_power_kw · scored within ±3%
  • efficiency_fraction · scored within ±3%