Health

Serial Dilution Final Concentration (C_f = C₀ × ∏ Vᵢ/(Vᵢ+V_d))

Compute the final concentration after multi-step serial dilutions, with per-step folds, cumulative folds, and total dilution factor.

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/dilution-factor-final' \
  -H 'Content-Type: application/json' \
  -d '{"initialConcentration":5,"concentrationUnit":"mg/mL","dilutionSteps":"1 : 9\n1 : 9\n1 : 9","decimalPlaces":6}'

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/dilution-factor-final

Parameters

Name	Type	Required	Description
initialConcentration	number	Yes	Concentration of the starting solution before any dilution step.
concentrationUnit	select	Yes	—
dilutionSteps	textarea	Yes	Each line: aliquot volume : diluent volume (any consistent unit). 1 : 9 = ten-fold.
decimalPlaces	number	No	—

Response format

JSON result

JSON

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

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-dilution-factor-final": {
      "name": "dilution-factor-final",
      "description": "Compute the final concentration after multi-step serial dilutions, with per-step folds, cumulative folds, and total dilution factor.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=dilution-factor-final",
      "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": "dilution-factor-final",
    "arguments": {
  "initialConcentration": 5,
  "concentrationUnit": "mg/mL",
  "dilutionSteps": "1 : 9\n1 : 9\n1 : 9",
  "decimalPlaces": 6
}
  }
}

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]

Browse tools Open tool

curl -X POST 'https://api.elysiatools.com/en/api/tools/dilution-factor-final' \ -H 'Content-Type: application/json' \ -d '{"initialConcentration":5,"concentrationUnit":"mg/mL","dilutionSteps":"1 : 9\n1 : 9\n1 : 9","decimalPlaces":6}'

Name

Type

Required

Description

initialConcentration

number

Yes

Concentration of the starting solution before any dilution step.

concentrationUnit

select

Yes

—

dilutionSteps

textarea

Yes

Each line: aliquot volume : diluent volume (any consistent unit). 1 : 9 = ten-fold.

decimalPlaces

number

—

{ "mcpServers": { "elysiatools-dilution-factor-final": { "name": "dilution-factor-final", "description": "Compute the final concentration after multi-step serial dilutions, with per-step folds, cumulative folds, and total dilution factor.", "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=dilution-factor-final", "command": "", "args": [], "env": {}, "isActive": true, "type": "sse" } } }

{ "jsonrpc": "2.0", "id": 2, "method": "tools/call", "params": { "name": "dilution-factor-final", "arguments": { "initialConcentration": 5, "concentrationUnit": "mg/mL", "dilutionSteps": "1 : 9\n1 : 9\n1 : 9", "decimalPlaces": 6 } } }