Multiple choice

A gaseous mixture contains oxygen and nitrogen in the ratio of $1:4$ by weight. The ratio of their number of moleules is :

  1. $1:4$
  2. $1:8$
  3. $7:32$
  4. $3:16$
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C Correct answer
Explanation

Moles = Mass / Molar Mass. Ratio of moles = (1/32) : (4/28) = (1/32) : (1/7) = 7 : 32.

AI explanation

Assuming a 1 gram sample of oxygen and a 4 gram sample of nitrogen, we calculate the moles of oxygen as 1 divided by 32, which equals 1/32. We calculate the moles of nitrogen as 4 divided by 28, which equals 1/7. By Avogadro's law, the ratio of molecules is identical to the ratio of moles. The ratio of their number of molecules is therefore 1/32 divided by 1/7, which simplifies to 7:32. The ratio of their number of molecules is 7:32.

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