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
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ADirectly proportional to molecular mass
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BInversely proportional to molecular mass
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CEqual to molecular mass
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DIndependent 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.
Stepρ1/ρ2 = M1/M2
Final AnswerDirectly proportional to molecular mass