Multiple choice

If we take 44g of ${ CO }{ 2 }$ and 14g of ${ N }{ 2 }$ , what will be the mole fraction of ${ CO }_{ 2 }$ in the mixture?

  1. $1/5$
  2. $1/3$
  3. $2/3$
  4. $1/4$
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C Correct answer
Explanation

Moles of CO2 = 44g / 44g/mol = 1 mole. Moles of N2 = 14g / 28g/mol = 0.5 moles. Total moles = 1.5. Mole fraction of CO2 = 1 / 1.5 = 2/3.

AI explanation

The molecular weight of CO2 is 44 g/mol, so 44 g is exactly 1 mole. The molecular weight of N2 is 28 g/mol, so 14 g is 14 divided by 28, which is 0.5 moles. The total number of moles in the mixture is 1 plus 0.5, which equals 1.5 moles. The mole fraction of CO2 is its moles divided by total moles, 1 divided by 1.5, which is 2/3.

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