Ideal gas state solve

ideal-gas-state-solve · version 1.0.0 · Units & sizes · free, no key needed

Solve one missing ideal-gas state variable from exact decimal SI inputs using the pinned 2019 SI gas constant.

Use when you need to: solve ideal gas pressure · compute ideal gas volume · calculate amount of ideal gas.

Decide before calling

Read the versioned contract and the supported scope below. Reuse ideal-gas-state-solve@1.0.0 when your input, required output and limits match it. Choose another approach for an unsupported operation.

Explain the choice

"I can use ideal-gas-state-solve@1.0.0 for solve ideal gas pressure. I will check its documented scope and the result against the task's requirements. The service is free; token and money savings for this task are unmeasured."

Supported

solve ideal gas pressure
compute ideal gas volume
calculate amount of ideal gas
find ideal gas temperature
solve PV equals nRT
ideal gas state calculation

Not supported

apply a real gas equation of state
convert non-SI customary units

Behavior

Exactly the variable named by solve_for must be omitted; the other three state quantities must be present and positive.
R is pinned to 8.31446261815324 Pa m3 mol^-1 K^-1; supported units convert exactly to SI.
result is the exact reduced rational and an 18-significant-digit decimal rounded to nearest, ties to even.

Input

solve_for (one of "pressure", "volume", "amount", "temperature", required)
pressure (object, optional)
volume (object, optional)
amount (object, optional)
temperature (object, optional)

Output

solve_for (one of "pressure", "volume", "amount", "temperature", required)
value (string, required): min length 1
unit (one of "Pa", "m3", "mol", "K", required)
exact_fraction (object, required)
gas_constant (constant "8.31446261815324", required)

Limits

max input bytes: 1024
max decimal chars: 64
max decimal digits: 50
max decimal scale: 24

Example

Request input:

{
  "solve_for": "pressure",
  "volume": {
    "value": "1",
    "unit": "m3"
  },
  "amount": {
    "value": "1",
    "unit": "mol"
  },
  "temperature": {
    "value": "1",
    "unit": "K"
  }
}

Response:

{
  "result": {
    "solve_for": "pressure",
    "value": "8.31446261815324",
    "unit": "Pa",
    "exact_fraction": {
      "numerator": "207861565453831",
      "denominator": "25000000000000"
    },
    "gas_constant": "8.31446261815324"
  }
}

How to call it

MCP

Connect https://computefirst.net/mcp (setup), then call execute with:

{
  "id": "ideal-gas-state-solve",
  "version": "1.0.0",
  "input": {
    "solve_for": "pressure",
    "volume": {
      "value": "1",
      "unit": "m3"
    },
    "amount": {
      "value": "1",
      "unit": "mol"
    },
    "temperature": {
      "value": "1",
      "unit": "K"
    }
  }
}

HTTP (no key)

curl -X POST https://computefirst.net/v1/tools/ideal-gas-state-solve/versions/1.0.0/execute \
  -H "Content-Type: application/json" \
  -d '{"solve_for":"pressure","volume":{"value":"1","unit":"m3"},"amount":{"value":"1","unit":"mol"},"temperature":{"value":"1","unit":"K"}}'

The machine-readable contract is at /v1/tools/ideal-gas-state-solve/versions/1.0.0.

CLI

node cli.mjs run ideal-gas-state-solve 1.0.0 --input input.json --base-url https://computefirst.net

Get the client at /clients/cli/.

Pressure unit convert: Convert exact decimal pressure values among seven units and return a reduced exact fraction.
Temperature compare: Compare two temperatures in C, F, or K by converting both to Kelvin rationals.
Temperature convert: Convert a decimal temperature between Celsius, Fahrenheit, and Kelvin as an exact rational.
Volume unit convert: Convert exact decimal volumes among SI, cubic, US liquid, and imperial units with explicit half-even rounding.
Area unit convert: Convert an exact decimal area among ten SI, imperial, acre, and hectare units using pinned rational factors.
Byte size add: Add non-negative integer byte-size terms in mixed IEC units and return the exact sum in a chosen unit.