The value of the Avogadro constant was chosen so that the mass of one mole of a chemical in grams, was equal to the relative mass of one molecule of that chemical in daltons. A dalton is defined as being 1/12 of the mass of a carbon-12 atom. Which is about the mass of a proton or neutron.
The actual equation to calculate the volume is PV=nRT
Rearranging it gives us V=nRT/P
When we substitute in 1 for n as the number of moles.
R is the gas constant, ~8.314 numerical value
T is the temperature in kelvins, 298K = 25 degrees Celsius
P is the pressure in Pascals, 1 atmosphere = 101325Pa
V = (1 x 8.314 x 298)/101325
We get 0.02445... m^3
Which is equal to 24.45dm^3