Pressure of 1 mol of gas at 300 K in 1 m³

Answer: pressure = 2,494.3 Pa (pressure 2.494 kPa, pressure 0.0246 atm).

What we know

  • Amount of gas: 1 mol
  • Temperature: 300 K
  • Volume: 1 m³

Step by step

Given
n = 1 mol, T = 300 K, V = 1 m³
Formula
P = n·R·T / V
Substitute
P = 1 × 8.314462618 × 300 / 1
Result
P = 2,494.3 Pa

All results

Pressure2,494.3 Pa
Pressure2.494 kPa
Pressure0.0246 atm

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.