Ideal Gas Law Calculator
Solve the ideal gas law PV = nRT for pressure, volume, moles, or temperature.
Result
Calculation Details
The Ideal Gas Law
The ideal gas law relates the pressure, volume, amount, and temperature of an ideal gas in a single equation: PV = nRT. It combines Boyle's law, Charles's law, and Avogadro's law into one relationship and is a cornerstone of thermodynamics and chemistry.
Rearranged Formulas
- P = nRT / V — Pressure in pascals (Pa)
- V = nRT / P — Volume in cubic meters (m³)
- n = PV / (RT) — Amount of substance in moles (mol)
- T = PV / (nR) — Temperature in kelvin (K)
Symbols and SI Units
- P — Pressure, measured in pascals (Pa)
- V — Volume, measured in cubic meters (m³)
- n — Amount of substance, measured in moles (mol)
- T — Absolute temperature, measured in kelvin (K)
- R — Universal gas constant, 8.314462618 J/(mol·K)
Worked Example
One mole of an ideal gas at standard temperature (273.15 K) occupying the molar volume of 0.022414 m³ exerts a pressure of:
- P = nRT / V = (1 × 8.314462618 × 273.15) / 0.022414
- P ≈ 101,325 Pa ≈ 1 atmosphere
References
The formula and physical constants used in this calculator are based on established physics principles and verified sources:
Related Calculators
Note: This calculator assumes an ideal gas and does not account for intermolecular forces or finite molecular volume. Real gases deviate from PV = nRT at high pressures and low temperatures. Inputs and outputs use SI units.