Question

Which of the following gas samples would have the largest volume, if all samples are at the same temperature and pressure?

1) 0.205 moles CH₄
2) 8.01 grams of He
3) 4×10²³ molecules of N₂
4) They would all have the same volume

Answer 1

The gas sample with 4×10²³ molecules of N₂ would have the largest volume.

Step-by-step explanation:

According to Avogadro's hypothesis, equal volumes of gases at the same temperature and pressure contain the same number of particles. One mole of any gas at standard temperature and pressure (STP) occupies a volume of 22.4 liters. The gas with the largest volume would be the one with the highest number of moles. So, in this case, the gas sample with 4×10²³ molecules of N₂ would have the largest volume.