   Chapter 15.4, Problem 15.5CYU

Chapter
Section
Textbook Problem

The decomposition of PCl5(g) to form PCl3(g) and Cl2(g) has Kc = 33.3 at a high temperature. If the initial concentration of PCl5 is 0.1000 M, what are the equilibrium concentrations of the reactants and products?

Interpretation Introduction

Interpretation: Using an equilibrium constant, equilibrium concentration of the reactant and product has to be identified.

Concept Introduction: At equilibrium the concentration of the reaction and the product is equated to a constant K, where K is known as the equilibrium

If a reaction is as aA+bBcC+dD ,

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

Explanation
 Equation PCl5 PCl3 Cl2 Initial concentration 0.100 0 0 Change concentration -x +x +x Equilibrium concentration 0.100 - x +x +x

The equilibrium constant Kc=[PCl3][Cl2][PCl5]

Substitute in Kc equation

33.3=(x)2(0.1000-x)2

Solving for x,use quadratic equation

x2+33.3x33

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