Chapter 15, Problem 21PS

Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

Consider the following equilibria involving SO2(g) and their corresponding equilibrium constants. SO 2 (g) + ½ O 2 (g)  ⇄  SO 3 (g) K 1 2 SO 3 (g)  ⇄  2 SO 2 (g) + O 2 (g) K 2 Which of the following expressions relates K1 to K2? (a) K2 = K12 (b) K22 = K1 (c) K2 = K1 (d) K2 = 1/K1 (e) K2 = 1/K12

Interpretation Introduction

Interpretation: The relation between the equilibrium constant for the given two reactions has to be determined from the given option.

Concept introduction:

Equilibrium constant: It is the ratio of products to reactants has a constant value when the reaction is in equilibrium at a certain temperature. And it is represented by the letter K.

For a reaction,

aA+bBcC+dD

The equilibrium constant is, K=[C]c[D]d[A]a[B]b

where,

a, b, c and d are the stoichiometric coefficients of reactant and product in the reactions.

Explanation

The balanced chemical equation for the first reaction is,

â€‚Â SO2(g)â€‰+â€‰â€‰12O2(g)â€‰â‡„â€‰â€‰SO3(g)

The equilibrium constant, K for the reaction is,

â€‚Â [SO3][SO2][O2]1/2â€‰=â€‰K1

The balanced chemical equation for the second reaction is,

â€‚Â 2â€‰SO3(g)â€‰â‡„â€‰â€‰2â€‰SO2(g)â€‰+â€‰O2(g)â€‰

The equilibrium constant, K for the reaction is,

â€‚Â [SO2]2[O2][SO3]2â€‰â€‰=â€‰K2â€‰â€‰([SO2][O2]1/2[SO3])2â€‰

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