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 'https://api.elysiatools.com/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 https://api.elysiatools.com/en/api/tools/alveolar-gas-equationParameters
| 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": "https://api.elysiatools.com/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]