Chemical Equilibrium

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Equilibrium in Terms of Concentration

Consider the reaction:

At equilibrium, the rate of forward reaction = rate of reverse reaction.

Equation

Generally for the reaction:

we have:

where is the equilibrium concentration in

Notes:

Example

Determine for the reaction given by the balanced equation below:

if the concentrations at equilibrium are:

solution

Equilibrium in Terms of Pressure

Equation

Generally for the reaction:

we have:

where is the partial pressure at equilibriium

Notes:

Relationship Between Concentration and Pressure Equilibrium

Equation

For the reaction:

we can use Ideal Gas Law to derive:

where:

Consequently:

Example

Consider the reaction:

with at . Calculate .

solution

Heterogeneous Reactions

See heterogeneous mixture

Info

When writing expressions for the equilibrium constant, pure liquids and solids are not included

Example

Consider the reaction:

Since is a solid, and its density/molar mass is constant, we can write:

Equilibrium Constant Revisited

Equation

For the general equation:

we have

where:

  • For pure liquids and solids,
  • For aqueous components, , (what???)
  • For gaseous components, ,
  • For ideal gas mixtures and ideal solutions,

Properties of Equilibrium Constants

Calculations

Example

The reaction of nitrogen and hydrogen to produce ammonia is shown below:

1.0 mol of and 3.0 mol of are introduced into a rigid 30 L vessel that is held at a constant
temperature of 800 K. The total pressure at equilibrium is 8.1 bar. Determine .

solution
To find the partial pressures of the reactants, use Ideal Gas Law:

ICE table:

Initial
Change
Equilibrium

Note the partial pressure of is , not .

Example

A mixture of and at the stoichiometric ratio (according to the reaction below), is allowed to come at equilibrium at a constant temperature ant total pressure of .

with .

At equilibrium, 40% of the is found to have converted to . What is the temperature ?

solution

Idea: assume of . Use ICE table to find moles of each, then find using . Finally, use ideal gas law to find .

Initial
Change
Equilibrium

Now use ideal gas law to find :

[!example]

What if we add an inert gas (e.g nitrogen) while maintaining a constant volume and temperature? No, concentration does not change.