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NEETChemistrySome Basic Concepts of Chemistry

Equal masses of methane ( CH ₄ ) and sulfur dioxide ( SO ₂ ) are taken in a container. The ratio of the total number of atoms in the methane sample to the total number of atoms in the sulfur dioxide sample is : (Given molar masses in g mol ⁻¹ : CH ₄ = 16 , SO ₂ = 64 )

Options

  1. A20 : 3
  2. B4 : 1
  3. C3 : 20
  4. D1 : 4

Correct answer

A. 20 : 3

Step-by-step solution

Let the mass of each gas be m grams. Number of moles of CH ₄ = m 16 . Number of moles of SO ₂ = m 64 . One molecule of CH ₄ contains 5 atoms ( 1 C and 4 H). Total number of atoms in CH ₄ = 5 m 16 N_A . One molecule of SO ₂ contains 3 atoms ( 1 S and 2 O). Total number of atoms in SO ₂ = 3 m 64 N_A . Ratio of total atoms = 5 m 16 N_A 3 m 64 N_A = 5 16 64 3 = 5 4 3 = 20 3 . The ratio is 20 : 3 . Answer: 20 : 3

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