Avogadro’s law and gas density: proportionality with molecular mass For two gases at the same temperature and pressure, state how their densities compare with their molecular masses. Choose the correct relationship.

Mechanical Engineering Thermodynamics Difficulty: Easy
Choose an option
  • A
    Directly proportional to molecular mass
  • B
    Inversely proportional to molecular mass
  • C
    Equal to molecular mass
  • D
    Independent of molecular mass

Answer

Correct Answer: Directly proportional to molecular mass

Explanation

ConceptAt the same T and p, Avogadro’s law implies equal molar volumes. Density ρ is ρ = (mass)/(volume) = (M molar mass)/(molar volume). With constant molar volume, ρ ∝ M.

Stepρ12 = M1/M2

Final AnswerDirectly proportional to molecular mass

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