Ideal Gas Law Calculator (PV = nRT)
Variable Key
P= pressure (Pa)V= volume (m³)n= moles of gasR= gas constant = 8.314 J/(mol·K)T= temperature (Kelvin)
Ideal gas law
The fundamental relationship PV = nRT.
Solve for each variable
Rearrange for any unknown.
Find P
Find V
Find n
Find T
Combined gas law
Relates two states of the same gas sample.
Convert temperature
The gas law requires temperature in Kelvin.
P= pressure (Pa)
V= volume (m³)
n= moles of gas
R= gas constant = 8.314 J/(mol·K)
T= temperature (Kelvin)
The ideal gas law PV = nRT relates pressure (P), volume (V), moles (n), and temperature (T) of an ideal gas. R = 8.314 J/(mol·K) is the universal gas constant.
- 1Identify which variable you need to find
- 2Temperature must be in Kelvin: K = °C + 273.15
- 3Rearrange PV = nRT for the unknown
- 4An "ideal gas" has no intermolecular forces — real gases deviate at high pressure/low temperature
1 mol at 0°C, 1 atm (101,325 Pa)=V = 22.4 LStandard molar volume at STP
P₁=1 atm, V₁=10L, T₁→T₂ (double)=V₂=20 LPressure constant, Charles's Law
| Law | Constant | Relationship |
|---|---|---|
| Boyle's Law | T, n | P₁V₁ = P₂V₂ |
| Charles's Law | P, n | V₁/T₁ = V₂/T₂ |
| Gay-Lussac's | V, n | P₁/T₁ = P₂/T₂ |
| Avogadro's | T, P | V ∝ n |
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Fun Fact
At standard conditions (0°C, 1 atm), 1 mole of any ideal gas occupies exactly 22.414 litres — the molar volume.
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