Moderate

Hydrogen effuses four times more rapidly than volume of an unknown gas molar mass of unknown gas should be_______________?

Correct answer: B. 32 gmol-1

  • A. 16 gmol-1
  • B. 32 gmol-1
  • C. 48 gmol-1
  • D. 64 gmol-1Mathematics

Explanation

Using Graham's law, rate of H2 divided by rate of unknown gas equals the square root of molar mass of the unknown divided by 2 g mol-1. Thus 4 = square root of M/2, so 16 = M/2 and M = 32 g mol-1. The likely wrong choice is a, which results from reversing the molar-mass ratio.

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About Kinetic Molecular Theory

Kinetic molecular theory explains gases as rapidly moving particles separated by large distances, with negligible volume and negligible intermolecular attraction in the ideal model. It relates temperature to average kinetic energy and explains gas pressure, Boyle's and Charles's laws, diffusion, effusion and the conditions under which real gases deviate from ideal behavior.

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