Source: https://guthlabs.ai/docs/instruments/ideal-gas-law-solver/mechanism/

instrument mechanism / verified-clean

# Ideal Gas Law Solver mechanism

The inspectable method record for Ideal Gas Law Solver, kept separate from implementation and qualification.

Status: **VERIFIED_CLEAN**Lifecycle: **verified-clean**

## Model scope

The core formulas are standard under the stated assumptions, but the undefined 'R or M' gas-selection behavior and missing absolute-unit constraints require clarification before an unqualified PASS verdict.

- PV=nRT is the standard ideal-gas equation, but the input description 'gas selection (R or M)' is ambiguous: molar mass M cannot substitute for the universal gas constant R in PV=nRT. If mass and molar mass are intended, the formula must instead define n=m/M or use PV=mR_specificT with R_specific=R/M.

- P1V1/T1=P2V2/T2 is valid only for a fixed amount of the same gas, with constant n and the same gas identity in both states.

- The specification does not state that temperature must be absolute Kelvin or that pressure must be absolute rather than gauge pressure.

- The phrase 'any 3 of P, V, n, T' is incomplete without specifying the unit system and the required conversion behavior for non-SI inputs.

## Units and conventions

- For PV=nRT with R=8.314 J/(mol·K), use P in Pa, V in m³, n in mol, and T in K; the result is dimensionally consistent.

- If pressure is supplied in atm, volume in L, or temperature in °C, those values must be converted before applying the SI-valued R.

- Temperature in both formulas must be absolute Kelvin; 0 °C equals 273.15 K, not 0 K.

- P1V1/T1=P2V2/T2 assumes absolute pressures and volumes expressed in consistent units on both sides; identical pressure and volume units may cancel in the ratio.

- The listed R=8.314 J/(mol·K) is a rounded value, so outputs should be treated as rounded to appropriate significant figures.

## Inspectable vector

One of 4 source-bound review vectors:

````
{
  "inputs": {
    "solve_for": "n",
    "P": 100000,
    "P_unit": "Pa",
    "V": 0.024942,
    "V_unit": "m^3",
    "T": 300,
    "T_unit": "K",
    "R": 8.314,
    "R_unit": "J/(mol·K)"
  },
  "expected_outputs": {
    "n": 1,
    "n_unit": "mol"
  },
  "working": "n=PV/(RT)=(100000 Pa×0.024942 m^3)/(8.314 J/(mol·K)×300 K)=2494.2/2494.2=1 mol."
}
````

## Failure boundary

**BREAK_CLAIMED** · SELF_FLAGGED

The solver should reject T=0 K as outside the ideal-gas validity range and reject n=0 when solving T because the denominator nR vanishes. A convention error also produces a severe numerical error when Celsius is treated as Kelvin.

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/ideal-gas-law-solver/>)[03**Implementation**](<https://guthlabs.ai/docs/instruments/ideal-gas-law-solver/implementation/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/ideal-gas-law-solver/qualification/>)

## Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

- `VERIFIED_LEDGER.json`

- `evidence-tranche2/batch10-output.jsonl`

- `BOUNDARY_HAZARD_CATALOG.json`