   Chapter 10, Problem 46PS

Chapter
Section
Textbook Problem

The reaction of SO2 with Cl2 gives dichlorine oxide, which is used to bleach wood pulp and to treat wastewater:SO2(g) + 2 Cl2(g) → SOCl2(g) + Cl2O(g)Assume all of the compounds involved in the reaction are gases. List them in order of increasing rms speed.

Interpretation Introduction

Interpretation: The gases present in the given reaction should be arranged in the order of increasing rms speed at given temperature.

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

The rms speed for the SO2 molecule is

μrms=(3RTM)1/2=(3×8.314×2980.064)1/2=340.79m/s

The rms speed for the Cl2 molecule is

μrms=(3RTM)1/2=(3×8.314×2980.0709)1/2=323

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