At what temperature does 742 mm Hg of CH₄ gas have the same density as 742 mm Hg of O₂ gas at 273 K? A) 137 K B) 146 K C) 191 K D) 275 K E) 545 K

Question

Quizplus · Accepted Answer

The density of a gas is directly proportional to its molar mass and inversely proportional to its temperature. Therefore, at the same pressure, two gases with the same density must have the same molar mass and temperature. The molar mass of CH₄ is 16 g/mol, and the molar mass of O₂ is 32 g/mol. Therefore, the temperature at which 742 mm Hg of CH₄ gas has the same density as 742 mm Hg of O₂ gas at 273 K is:T = (273 K) * (16 g/mol) / (32 g/mol) = 137 K

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At What Temperature Does 742 Mm Hg of CH₄ Gas