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Chemistry & Chemical Reactivity

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

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BuyFindarrow_forward

Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
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
EquationPCl5 PCl3 Cl2
Initial concentration0.100 00
Change concentration-x +x +x
Equilibrium concentration0.100-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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