How to use this calculator
Choose the quantity to solve for, pick a gas (or type its specific gas constant R), and enter the other three values. Use absolute pressure and any temperature scale; the calculator converts to K or °R.
Formulas
Ideal gas law (mass form)PV = mRT
Specific gas constantR = RuM Ru = 8.314 J/mol·K
Densityρ = PRT
Worked example
1.2 kg of air in 1 m³ at 20 °C (the default)
- T = 20 + 273.15 = 293.15 K.
- P = mRT/V = 1.2 × 287.05 × 293.15 / 1 = 101.0 kPa, about atmospheric.
- Molar mass M = 8.314/287.05 = 28.97 g/mol, so n = 1,200/28.97 = 41.4 mol.
Assumptions and limits
- Ideal behavior: low pressure and temperatures well above the gas’s critical temperature.
- Pressure and temperature are absolute.
- Steam is only close to ideal at low pressure and high superheat; use steam tables otherwise.
Frequently asked questions
Why must I use absolute pressure?
The law is about molecules hitting the walls, which happens even at zero gauge pressure. A tire at 32 psi gauge is at about 46.7 psi absolute.
What is the difference between R and Ru?
Ru = 8.314 J/mol·K is universal. The specific constant R = Ru/M depends on the gas: 287 J/kg·K for air.
Can I use moles instead of mass?
Yes: PV = nRuT. The calculator shows the amount in moles alongside the mass result.