   Chapter 10, Problem 84GQ

Chapter
Section
Textbook Problem

In an experiment, you have determined that 0.66 moles of CF4 effuse through a porous barrier over a 4.8-mitiute period. How long will it take for 0.66 moles of CH4 to effuse through the same barrier?

Interpretation Introduction

Interpretation: The time required by the given moles of methane to effuse through a barrier should be determined under given conditions.

Concept introduction:

The root mean square velocity μ is defined as the measure of velocity of particle in gas.  It is the method to determine the single velocity value for particles.

Root mean square velocity can be determined,

μrms=(3RTM)1/2 (1)

(gas constant)R=8.314JKmolM=Molarmass

Molar mass: The molar mass of a substance is determined by dividing the given mass of substance by the amount of the substance.

Explanation

The expression used to calculate the rms speed is as follows,

μrms=(3RTM)1/2

1Mconsidering the two given gases,r1r2 =M2M1rate =volume of gas diffused(v)time taken(t)Now,

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