MHT CET202522 Apr 2025Evening ShiftChemistrySome Basic Concepts of ChemistryActual
A gaseous mixture of O ₂ and CH ₄ are in the ratio 1: 4 by mass. Find the ratio of their molecules.
Options
- A1: 4
- B2: 3
- C1: 8
- D3: 2
Correct answer
C. 1: 8
Step-by-step solution
Ratio of molecules is proportional to the ratio of moles. Given mass ratio m_ O ₂ : m_ CH ₄ = 1 : 4 , let m_ O ₂ = x and m_ CH ₄ = 4x . Using molar masses M_ O ₂ = 32 g/mol and M_ CH ₄ = 16 g/mol, the moles are: n_ O ₂ = x 32 , n_ CH ₄ = 4x 16 = x 4 . The ratio n_ O ₂ : n_ CH ₄ = x 32 : x 4 = 1 : 8 . Thus, the molecular ratio is 1:8 .