I'm trying to determine how many kg of air that a Zeppelin displaces.

1. The volume of the airship is 58142.1 meters cubed.
2. The temperature of the air is 276.26 kelvin.
3. The pressure in pascals is 42,178.

Air is 78 % nitrogen and 21 % oxygen.

1 mole of nitrogen gas has a mass of 28 grams.

1 mole of oxygen gas has a mass of 32 grams.

By subtracting the weight of the empty Zeppelin from the weight of the displaced air it will give me the maximum payload the Zeppelin can carry as cargo.

Although I'm sure the equation is straightforward I can't find it anywhere. Calculators are online but I'd prefer to be able to calculate this myself so I can put it in Excel.