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Question: Answered & Verified by Expert
The ratio of masses of oxygen and nitrogen in a particular gaseous mixture is 1 : 4. The ratio of number of their molecules is:
ChemistrySome Basic Concepts of ChemistryJEE MainJEE Main 2014 (06 Apr)
Options:
  • A 1 : 4
  • B 7 : 32
  • C 1 : 8
  • D 3 : 16
Solution:
1757 Upvotes Verified Answer
The correct answer is: 7 : 32

Let the mass of oxygen be x gm
∴   Mass of nitrogen = 4x gm
Number of molecules = 6.023 x 1023 x number of moles
∴   Ratio = 6.023 × 1 0 2 3 × no. of moles of oxygen 6.023 × 1 0 2 3 × no. of moles of nitrogen
              = m O 2 M O 2 m N 2 M N 2 = x 3 2 4 x 2 8
              = 7 3 2 = 7 : 32

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