Magnitude of the Equilibrium Constant (College Board AP® Chemistry)
Study Guide
Written by: Fallon
Reviewed by: Stewart Hird
Magnitude of the Equilibrium Constant
The equilibrium constant (K) is the ratio of products and reactants in a system at equilibrium
The magnitude of the equilibrium constant indicates the extent to which the reaction proceeds
When K > 1, the products are favored at equilibrium
If K is very large, the forward reaction essentially proceeds to completion
When K < 1, the reactants are favored at equilibrium
If K is very small, the forward reaction barely proceeds. In other words, the reverse reaction essentially proceeds to completion
When comparing the equilibrium constants of two or more reactions at the same temperature, the reaction with the greatest value for K will have the greatest proportion of products at equilibrium
Worked Example
C2H4 (g) ⇌ C2H2 (g) + H2 (g) KP = 1.54 x10-7
Pure C2H4 (g) is placed in a 1.0 L rigid, sealed flask at 700 K and allowed to react according to the equation shown above. Which of the following statements correctly compares the partial pressures of C2H4 (g) and H2 (g) after equilibrium is established?
, because the smaller the KP value, the greater the partial pressure of the reactants at equilibrium
, because at equilibrium the partial pressures of the products and reactants must be constant and equal
, because the initial rate of the forward reaction is greater than that of the reverse reaction leading to an increase in the partial pressure of the products at equilibrium
, because the smaller the KP value, the faster the rate of reaction and the greater the partial pressure of the products at equilibrium
Answer:
At equilibrium, the partial pressures of the products and reactants must remain constant, but they do not necessarily have to be equal
A very small KP value indicates that the forward reaction barely proceeds and that the reactants are favored at equilibrium
So at equilibrium, the flask will container a much greater proportion of C2H4 (g) than H2 (g)
As the gases occupy the same volume and are held at the same temperature, the partial pressure of C2H4 (g) at equilibrium will be greater than that of H2 (g)
Worked Example
Into two separate flasks, a solution containing 1.0 M OH-(aq) is combined with a solution containing 1.0 M of the appropriate metal ion as shown in the table below. The ions react via an equilibrium reaction to form a complex ion.
Flask | Chemical Reaction | Kc at 25°C |
---|---|---|
A | Al3+ (aq) + 4OH- (aq) ⇌ Al(OH)4- (aq) | 1.1 x 1033 |
B | Zn2+ (aq) + 4OH-(aq) ⇌ Zn(OH)42-(aq) | 4.6 x 1017 |
After reaching equilibrium at 25°C, which flask contains a higher concentration of its respective complex ion?
Answer:
A very large Kc value indicates that the forward reaction essentially proceeds to completion
The larger the Kc value, the greater the proportion of products in the equilibrium mixture
As both flasks initially contain equimolar amounts of the reactants and the reaction in flask A has a larger Kc value, the concentration of the complex ion in flask A at equilibrium will be greater than that of flask B
Examiner Tips and Tricks
If you forget which side of a reaction is favored based on the value of K you can perform a quick test using simple concentrations. This is summarized in the table below.
….. Are favored | Concentrations at equilibrium | Value of Kc | Result |
---|---|---|---|
Products | 2M = [products] 1M = [reactants] | Kc > 1 | |
Reactants | 1M = [products] 2M = [reactants] | Kc < 1 |
Last updated:
You've read 0 of your 5 free study guides this week
Sign up now. It’s free!
Did this page help you?