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Math & Numbers

COP Calculator (Coefficient of Performance, COP = Q_c / W)

Compute the Coefficient of Performance (COP) of a chiller / heat pump: COP = Q_c / W, where Q_c is the cooling capacity and W the work input (both in consistent power units; COP is dimensionless). Three modes: solve COP (given Q_c and W), solve cooling capacity (given COP and W), or solve input power (given COP and Q_c). Capacity in W/kW/BTU·h⁻¹/ton/kcal·h⁻¹, power in W/kW/hp; all converted to W internally.

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Quick start

Call this tool from your code in three languages.

cURL
curl -X POST 'https://api.elysiatools.com/en/api/tools/cop-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"mode":"cop","coolingCapacity":3500,"capacityUnit":"W","inputPower":1000,"powerUnit":"W","cop":0,"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/cop-calculator

Parameters

NameTypeRequiredDescription
modeselectNoSolve COP (needs Q_c and W), solve Cooling Capacity (needs COP and W), or solve Input Power (needs COP and Q_c).
coolingCapacitynumberYesCooling capacity Q_c. Enter in the selected Capacity Unit. Required unless solving capacity.
capacityUnitselectNo—
inputPowernumberYesWork input / electrical power W. Enter in the selected Power Unit. Required unless solving power.
powerUnitselect

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-cop-calculator": {
      "name": "cop-calculator",
      "description": "Compute the Coefficient of Performance (COP) of a chiller / heat pump: COP = Q_c / W, where Q_c is the cooling capacity and W the work input (both in consistent power units; COP is dimensionless). Three modes: solve COP (given Q_c and W), solve cooling capacity (given COP and W), or solve input power (given COP and Q_c). Capacity in W/kW/BTU·h⁻¹/ton/kcal·h⁻¹, power in W/kW/hp; all converted to W internally.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=cop-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": "cop-calculator",
    "arguments": {
  "mode": "cop",
  "coolingCapacity": 3500,
  "capacityUnit": "W",
  "inputPower": 1000,
  "powerUnit": "W",
  "cop": 0,
  "decimalPlaces": 4
}
  }
}
Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).
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© 2026 Elysia Tools. Developer documentation.

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No
—
copnumberNoCOP value (dimensionless). Required when solving capacity or power; ignored when solving COP.
decimalPlacesnumberNo—

Response format

JSON result

JSON
{
  "key": {...},
  "metadata": {
    "key": "value"
  },
  "error": "Error message (optional)",
  "message": "Notification message (optional)"
}

Questions or issues? Contact [email protected]