Thermodynamics
Ideal Gas Law
Equation of state for ideal gas.
Variables
PPa
Pressure
Gas pressure
In SI units: kg/(m·s²)
Allowed values: greater than 0
Vm³
Volume
Container volume
Allowed values: greater than 0
nmol
Moles
Amount of gas
Allowed values: greater than 0
RJ/(mol·K)
Gas constant
8.314
In SI units: kg·m²/(s²·mol·K)
Allowed values: greater than 0
TK
Temperature
Absolute temperature
Allowed values: greater than 0
Derivation
Combines Boyle, Charles, and Avogadro laws.
Your notes
0/5000
Constants in this formula
Check value
Round inputs run through this page's calculator, with each constant at its tabulated value. Use it to test your own working or a rearranged form. It is a test case, not a real-world example.
- n = 2 mol (Moles)
- R = 8.314 462 618… J/(mol·K) (Gas constant)
- T = 3 K (Temperature)
- V = 4 m³ (Volume)
Result: P = 12.471694 Pa
Other thermodynamics formulas with the same quantities
- Ideal Gas Law (Molecular) (Kinetic Theory) shares Pressure, Volume, Temperature
- Work (Isothermal Process) (First Law) shares Moles, Gas constant, Temperature
- Internal Energy (Ideal Gas) (First Law) shares Moles, Gas constant, Temperature
- Mean Free Path (Kinetic Theory) shares Temperature, Pressure
- Pressure (Kinetic Theory) (Kinetic Theory) shares Pressure, Volume
- Most Probable Speed (Kinetic Theory) shares Temperature, Gas constant
Where this formula is listed
- Thermodynamics formulas, under Kinetic Theory, alongside Mean Speed.
- In the thermodynamics list it comes after Clausius Inequality and before Ideal Gas Law (Molecular).
- Thermodynamics formula sheet, one of 34 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
Common questions
What is the Ideal Gas Law formula?
Ideal Gas Law is written PV = nRT. Equation of state for ideal gas. It belongs to Thermodynamics, under Kinetic Theory.
What are the units in PV = nRT?
In SI units, P is pressure, measured in kg/(m·s²); V is volume, measured in m³; n is moles, measured in mol; R is gas constant, measured in kg·m²/(s²·mol·K); T is temperature, measured in K.
How is the Ideal Gas Law formula derived?
Combines Boyle, Charles, and Avogadro laws. The result is PV = nRT.