What is the volume in liters of 6.75*10^24 molecules of ammonia gas at STP?

1 Answer
Oct 16, 2016

255L (3 s.f.)

Explanation:

To go from molecules to volume, we need to convert to moles. Recall that one mole of a substance has 6.022*10^23 molecules (Avogadro's number).

Moles of ammonia gas:

(6.75*10^24)/(6.022*10^23)=11.2089...moles

At STP, the molar volume of a gas is 22.71Lmol^-1. This means that per mole of a gas, there are 22.71 litres of the gas.

Volume of ammonia gas:

11.2089... cancel(mol)*(22.71L)/(cancel(mol))=254.55L