Multiple choice

Four 1-1 liter flasks are separately filled with the gases $N_2, \, Ne,\, N_2O,$ and $SO_3$ at the same temperature pressure. The ratio of the total number of atoms of these gases present in a different flask would be ______.

  1. 1 : 1 : 1 : 1

  2. 1 : 2 : 2 : 3

  3. 2 : 1 : 3 : 4

  4. 3 : 2 : 2 : 1
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

All flasks have same volume, temperature, and pressure, so they contain the same number of molecules (Avogadro's Law). N2 has 2 atoms, Ne has 1, N2O has 3, SO3 has 4. Ratio is 2:1:3:4.

AI explanation

According to Avogadro's law, equal volumes of gases at the same temperature and pressure contain equal numbers of molecules, meaning each flask holds the same number of moles. Since the number of atoms per mole is determined by the molecular formula, we multiply the standard mole count by the number of atoms in each molecule: N2 has 2 atoms, Ne has 1 atom, N2O has 3 atoms, and SO3 has 4 atoms. Because the number of molecules in each flask is identical, the ratio of the total number of atoms is simply the ratio of these atom counts. Therefore, the ratio of the total number of atoms for N2, Ne, N2O, and SO3 is 2:1:3:4.

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