Which statement below is correct? CH4 effuses 2.286 times faster than Kr. Kr effuses 2.286 times faster than CH4. Kr effuses 5.224 times slower than CH4. CH4 effuses 5.224 times slower than Kr.

Answered: Which statement below is correct?…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

Which statement below is correct?
	CH₄ effuses 2.286 times faster than Kr.
	Kr effuses 2.286 times faster than CH₄.
	Kr effuses 5.224 times slower than CH₄.
	CH₄ effuses 5.224 times slower than Kr.

Expert Solution

Step 1

Graham's Law of effusion:

The rate of effusion of gases are inversely proportional to the square root of molar masses of the gases.

For two gases the relation is as follows:

$\frac{r_{1}}{r_{2}} = \sqrt{\frac{M_{2}}{M_{1}}} r_{1} = rate of {CH}_{4} r_{2} = rate of Kr M_{1} = molar mass of {CH}_{4} M_{2} = molar mass of Kr$