Pressure of 1 mol of gas at 25 °C in 24.5 L

Answer: pressure = 101,181.9 Pa (pressure 101.182 kPa, pressure 0.9986 atm).

What we know

  • Amount of gas: 1 mol
  • Temperature: 25 °C = 298.15 K (converted to the unit the formula takes)
  • Volume: 24.5 L = 0.0245 m³ (converted to the unit the formula takes)

Step by step

Given
n = 1 mol, T = 298.15 K, V = 0.0245 m³
Formula
P = n·R·T / V
Substitute
P = 1 × 8.314462618 × 298.15 / 0.0245
Result
P = 101,181.9 Pa

All results

Pressure101,181.9 Pa
Pressure101.182 kPa
Pressure0.9986 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.