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

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Answer 1 · 2016-10-16T07:22:37

#255L# (3 s.f.)

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#