Health

Alveolar Gas Equation (PAO₂ Calculator)

Calculate PAO₂ = FiO₂ × (P_atm − 47) − PaCO₂ / RQ. Defaults: P_atm 760 mmHg (sea level), RQ 0.8. Gives a directional hint vs expected ~100 mmHg. For full A-a gradient interpretation use a-a-gradient-calculator. Derived from StatPearls, LITFL, Cornell PICU, and West. Not medical advice.

json· JSON resultOpen tool

Quick start

Call this tool from your code in three languages.

cURL

curl -X POST 'http://127.0.0.1:3003/en/api/tools/alveolar-gas-equation' \
  -H 'Content-Type: application/json' \
  -d '{"paco2":40,"fio2":0.21,"patm":0,"rq":0,"decimalPlaces":1}'

API reference

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

Endpoint

HTTP

POST http://127.0.0.1:3003/en/api/tools/alveolar-gas-equation

Parameters

Name	Type	Required	Description
paco2	number	Yes	Arterial partial pressure of CO₂ (mmHg) from ABG.
fio2	number	Yes	Inspired oxygen fraction (0.21 = room air). Range 0.15–1.0.
patm	number	No	Atmospheric pressure (mmHg). Default 760 at sea level. Lower at altitude (e.g. Denver ~630).
rq	number	No	Respiratory quotient. Default 0.8 (mixed diet); 1.0 pure carbohydrate; ~0.7 high fat/protein.
decimalPlaces	number

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-alveolar-gas-equation": {
      "name": "alveolar-gas-equation",
      "description": "Calculate PAO₂ = FiO₂ × (P_atm − 47) − PaCO₂ / RQ. Defaults: P_atm 760 mmHg (sea level), RQ 0.8. Gives a directional hint vs expected ~100 mmHg. For full A-a gradient interpretation use a-a-gradient-calculator. Derived from StatPearls, LITFL, Cornell PICU, and West. Not medical advice.",
      "baseUrl": "http://127.0.0.1:3003/mcp/sse?toolId=alveolar-gas-equation",
      "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": "alveolar-gas-equation",
    "arguments": {
  "paco2": 40,
  "fio2": 0.21,
  "patm": 0,
  "rq": 0,
  "decimalPlaces": 1
}
  }
}

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).

Questions or issues? Contact [email protected]

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