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Chapter 15 – Chemical Equilibrium

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3<br />

The previous equality can be rearranged to produce a useful equation.<br />

k<br />

k<br />

f<br />

r<br />

[ B]<br />

= = K<br />

[ A ]<br />

eq<br />

where K eq is the equilibrium constant. Always remember that equilibria are dynamic processes,<br />

both the forward and reverse reactions are always occurring.<br />

<strong>15</strong>.2 The <strong>Equilibrium</strong> Constant<br />

The previous equation can be generalized for any combination of materials in solution at<br />

equilibrium:<br />

aA + bB<br />

K eq =<br />

c<br />

[C] [D]<br />

a<br />

[A] [B]<br />

cC + dD<br />

d<br />

b<br />

If the same reactants were in the gas phase, the partial pressures of the gases are used in place of<br />

concentrations and the equilibrium constant becomes:<br />

K eq =<br />

P<br />

P<br />

c d<br />

C<br />

PD<br />

a b<br />

A<br />

PB<br />

It is important to use the “eq” as a subscript to help differentiate between the equilibrium and<br />

rate constants (handwriting sometimes makes distinguishing a capital K from a little k difficult).<br />

Example: N 2 (g) + 3 H 2 (g) 2 NH 3 (g)<br />

PNH3<br />

K eq =<br />

3<br />

P P<br />

N2<br />

2<br />

H2<br />

Thus, the equilibrium constant expression depends only on the reaction stoichiometry. For this<br />

reason, it is convention to write out the stoichiometry using only whole numbers. Using<br />

fractions can change the equilibrium constant. For example:<br />

[C]<br />

A + 2 B C K eq =<br />

2<br />

[A][B]

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