Calculate gas volume from moles, temperature and pressure with the ideal gas law, or convert a gas volume between two pressure and temperature conditions.

Solve PV = nRT for the selected quantity.

Prefilled with 0 ยฐC (standard conditions). Change it to your gas temperature.

Prefilled with 1 atm (standard conditions). For a gauge reading, add atmospheric pressure.

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Gas Volume Formula

The following ideal-gas formula calculates gas volume using absolute pressure and temperature. The supplied-Z modes use PV = ZnRT with a compressibility factor valid for the solved state.

GV = n ร— R ร— T / P
  • Where GV is the Gas Volume (m^3)
  • n is the number of moles of gas 
  • T is the absolute temperature (K); convert ยฐC to K by adding 273.15.
  • R is the molar gas constant (8.31446261815324 J/(molยทK), exact).
  • P is the absolute pressure (Pa).

How to Calculate Gas Volume?

The following example problems outline how to calculate Gas Volume.

Example Problem #1

  1. First, determine the number of moles of gas.
    1. The number of moles of gas is given as 140.
  2. Next, determine the gas temperature and convert it to kelvin.
    1. The temperature is 50 ยฐC = 323.15 K.
  3. Next, determine the pressure (Pa).
    1. The pressure (Pa) is found to be 30.
  4. Finally, calculate the Gas Volume using the formula above: 

GV = n*R*T/P

Inserting the values from above yields: 

GV = 140 ร— 8.31446261815324 ร— 323.15 / 30 = 12,538.4868 mยณ.

Example Problem #2

The variables needed for this problem are provided below:

number of moles of gas = 185

temperature = 874 ยฐC = 1147.15 K

pressure (Pa) = 93

Entering these values and solving gives:

GV = 185 ร— 8.31446261815324 ร— 1147.15 / 93 = 18,973.3131 mยณ.