Gaseous volumes with equal masses: Equal masses of O₂, H₂, and CH₄ are kept under identical conditions of temperature and pressure. What is the ratio of their volumes? Use V ∝ (moles) ∝ (mass/molar mass) at same T and P. Choose the correct option.

Difficulty: Easy

1 : 2 : 16 (O₂ : CH₄ : H₂)
1 : 16 : 2 (O₂ : H₂ : CH₄)
16 : 1 : 2 (H₂ : O₂ : CH₄)
2 : 1 : 16 (CH₄ : O₂ : H₂)

Correct Answer: 1 : 16 : 2 (O₂ : H₂ : CH₄)

Explanation:

Given
Equal masses at identical T, P.

Concept/Approach
At fixed T and P, volume ∝ moles. Moles = mass / molar mass. For the same mass m:
n(O₂) = m/32, n(H₂) = m/2, n(CH₄) = m/16.

Calculation
Ratios: (1/32) : (1/2) : (1/16) ⇒ multiply by 32 ⇒ 1 : 16 : 2 (O₂ : H₂ : CH₄).

Final Answer
1 : 16 : 2 (O₂ : H₂ : CH₄)

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