Math & Numbers

AHU Coil Capacity Calculator (Cooling / Heating)

Compute the total, sensible, and latent capacity of an air-handling-unit (AHU) coil from the entering/leaving air state and the dry-air mass flow ṁ_da. Total capacity Qt = ṁ_da·(h1 − h2); sensible capacity Qs = ṁ_da·cp_ma·(T1 − T2) with cp_ma ≈ 1.006 + 1.86·W [kJ/(kg da·K)]; latent capacity Ql = Qt − Qs; Sensible Heat Ratio SHR = Qs / Qt. Each state is described by dry-bulb T plus one humidity input (relative humidity φ, or humidity ratio W); W is derived from the Magnus saturation fit when RH is supplied, and enthalpy h = 1.006·T + W·(2501 + 1.86·T) [kJ/kg da]. Signed result — works for cooling or heating coils.

json· JSON resultOpen tool

Quick start

Call this tool from your code in three languages.

cURL

curl -X POST 'https://api.elysiatools.com/en/api/tools/ahu-capacity-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"mda":2.5,"flowUnit":"kg/s","t1":27,"h1Input":"rh","h1Value":50,"t2":14,"h2Input":"rh","h2Value":90,"humidityUnit":"g/kg","capacityUnit":"kW","decimalPlaces":4}'

API reference

Send a POST request with your inputs as JSON. File parameters require a separate upload first.

Endpoint

HTTP

POST https://api.elysiatools.com/en/api/tools/ahu-capacity-calculator

Parameters

Name	Type	Required	Description
mda	number	Yes	Dry-air mass flow rate ṁ_da, in the selected Flow Unit.
flowUnit	select	No	—
t1	number	Yes	Entering (coil-on) dry-bulb temperature in °C.
h1Input	select	No	—
h1Value	number	Yes	Entering humidity value. RH in % (0–100); W in the selected Humidity Ratio Unit.

MCP integration

Add this tool to your Model Context Protocol server so AI agents can list and call it.

Server configuration

Add this block to your MCP client configuration:

mcp.json

{
  "mcpServers": {
    "elysiatools-ahu-capacity-calculator": {
      "name": "ahu-capacity-calculator",
      "description": "Compute the total, sensible, and latent capacity of an air-handling-unit (AHU) coil from the entering/leaving air state and the dry-air mass flow ṁ_da. Total capacity Qt = ṁ_da·(h1 − h2); sensible capacity Qs = ṁ_da·cp_ma·(T1 − T2) with cp_ma ≈ 1.006 + 1.86·W [kJ/(kg da·K)]; latent capacity Ql = Qt − Qs; Sensible Heat Ratio SHR = Qs / Qt. Each state is described by dry-bulb T plus one humidity input (relative humidity φ, or humidity ratio W); W is derived from the Magnus saturation fit when RH is supplied, and enthalpy h = 1.006·T + W·(2501 + 1.86·T) [kJ/kg da]. Signed result — works for cooling or heating coils.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=ahu-capacity-calculator",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

List available tools

After connecting to the SSE endpoint, list the exposed tools:

tools/list

{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/list"
}

Call this tool

Invoke the tool by its id, passing arguments built from its parameters:

tools/call

{
  "jsonrpc": "2.0",
  "id": 2,
  "method": "tools/call",
  "params": {
    "name": "ahu-capacity-calculator",
    "arguments": {
  "mda": 2.5,
  "flowUnit": "kg/s",
  "t1": 27,
  "h1Input": "rh",
  "h1Value": 50,
  "t2": 14,
  "h2Input": "rh",
  "h2Value": 90,
  "humidityUnit": "g/kg",
  "capacityUnit": "kW",
  "decimalPlaces": 4
}
  }
}

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