What we know
- Amount of gas: 200 mol
- Temperature: 15 °C = 288.15 K (converted to the unit the formula takes)
- Volume: 50 L = 0.05 m³ (converted to the unit the formula takes)
At this pressure real gases deviate from ideal behaviour; treat it as an estimate.
Step by step
- Given
- n = 200 mol, T = 288.15 K, V = 0.05 m³
- Formula
- P = n·R·T / V
- Substitute
- P = 200 × 8.314462618 × 288.15 / 0.05
- Result
- P = 9,583,249.6 Pa
All results
Open the ideal gas law calculator with these numbers → and change any of them.
The physics
The ideal gas law ties together the four things that describe a gas — pressure, volume, amount and temperature — in one compact equation, PV = nRT. Fix any three and the fourth is determined. Here we solve for pressure, but the same relationship explains why a warm tyre reads higher, why a sealed bottle crushes as it cools, and how a balloon swells in the sun.
Molar gas constant → Standard atmosphere →