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.
IIT JEE
Chemistry
Difficulty: Easy
Choose an option
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A1 : 2 : 16 (O₂ : CH₄ : H₂)
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B1 : 16 : 2 (O₂ : H₂ : CH₄)
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C16 : 1 : 2 (H₂ : O₂ : CH₄)
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D2 : 1 : 16 (CH₄ : O₂ : H₂)
Answer
Correct Answer: 1 : 16 : 2 (O₂ : H₂ : CH₄)
Explanation
GivenEqual masses at identical T, P.
Concept/ApproachAt 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.
CalculationRatios: (1/32) : (1/2) : (1/16) ⇒ multiply by 32 ⇒ 1 : 16 : 2 (O₂ : H₂ : CH₄).
Final Answer1 : 16 : 2 (O₂ : H₂ : CH₄)