Multiple choice

In a litre flask at a certain temperature, there are 2 gm of $H_{2}$ and 8 gm of $O_{2}$. The mole fraction of $O_{2}$ in the given mixture is:

  1. $0.2$
  2. $0.4$
  3. $0.3$
  4. $0.1$
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A Correct answer
Explanation

Moles of H2 = 2/2 = 1. Moles of O2 = 8/32 = 0.25. Total moles = 1.25. Mole fraction of O2 = 0.25 / 1.25 = 1/5 = 0.2.

AI explanation

First, convert the masses to moles by dividing by the molar masses, yielding 1 mole of hydrogen (2 g divided by 2 g/mol) and 0.25 moles of oxygen (8 g divided by 32 g/mol). The mole fraction of oxygen is its moles divided by the total moles in the mixture. Calculate this as 0.25 divided by 1.25, which equals 0.2.