Ideal Gas Law Calculator
ANA›Life Services Authority›National Calculator Authority›Ideal Gas Law Calculator
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Ideal Gas Law Calculator
Solve for any one variable in the Ideal Gas Law equation: PV = nRT. Enter any three known values and leave the unknown field empty.
Pressure (P) [Pa]
Volume (V) [m³]
Amount of Substance (n) [mol]
Temperature (T) [K]
Calculate Enter three values and leave one blank to solve for it.
function ideCalc() { const R = 8.314462618; // J/(mol·K) — exact NIST value
const pEl = document.getElementById('ide-pressure'); const vEl = document.getElementById('ide-volume'); const nEl = document.getElementById('ide-moles'); const tEl = document.getElementById('ide-temperature'); const resultEl = document.getElementById('ide-result');
const pRaw = pEl.value.trim(); const vRaw = vEl.value.trim(); const nRaw = nEl.value.trim(); const tRaw = tEl.value.trim();
const blanks = [pRaw, vRaw, nRaw, tRaw].filter(v => v === '').length;
if (blanks === 0) { resultEl.className = 'calc-result calc-error'; resultEl.textContent = 'Error: Leave exactly one field blank to solve for it.'; return; } if (blanks > 1) { resultEl.className = 'calc-result calc-error'; resultEl.textContent = 'Error: Please fill in three fields and leave exactly one blank.'; return; }
const P = pRaw === '' ? null : parseFloat(pRaw); const V = vRaw === '' ? null : parseFloat(vRaw); const n = nRaw === '' ? null : parseFloat(nRaw); const T = tRaw === '' ? null : parseFloat(tRaw);
// Validate provided values if (P !== null && (isNaN(P) || P Using: ' + formula + ' | R = ' + R + ' J/(mol·K)'; }
#### Formula
PV = nRT
- P = Absolute pressure [Pa]
- V = Volume [m³]
- n = Amount of substance [mol]
- R = Universal gas constant = 8.314462618 J/(mol·K)
- T = Absolute temperature [K]
Rearrangements:
#### Assumptions & References
- The gas behaves as an ideal gas: molecules have negligible volume and no intermolecular forces.
- All inputs must use SI base units: Pascals (Pa), cubic metres (m³), moles (mol), and Kelvin (K).
- Temperature must be in absolute Kelvin (K = °C + 273.15). Negative Kelvin values are physically impossible.
- This model is most accurate at low pressures and high temperatures. At high pressures or near condensation, use the van der Waals equation instead.
- Reference: NIST Chemistry WebBook — Ideal Gas Law, and IUPAC 2019 SI redefinition of the mole.
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