Notes
Outline
Equilibrium
Competency 9 Review
Calculating Kc
Given [concentration] of all species
Write the Kc expression
Fill in the expression accordingly
Solve for Kc
Calculating Kc
Given (original concentration) of one species and [EC] of another
Write the Kc expression
Set up chart filling in what you know
Figure out change:  [EC] – (OC)
Determine change for all species
Calculate [EC] for each species
Fill in the expression accordingly
Solve for Kc
Calculating Kc
Given (original concentration) of one species and how much of it was used
Write the Kc expression
Set up chart filling in what you know
Figure out change:  (OC) x % of change
Determine change for all species
Calculate [EC] for each species
Fill in the expression accordingly
Solve for Kc
Using Kc
OCQ:  Original Concentration Quotent
Use OCQ to determine direction of the rxn when (OC) for all species is given
If OCQ > Kc     rxn
If OCQ < Kc     rxn
Using Kc
Given Kc and [concentration] of all species except one.
Write the Kc expression
Fill all known values into the expression and solve for the unknown
Using Kc
Given Kc and only the (OC) for all species
Set up chart filling in what you know
Let “x” represent the change – determine the direction of the rxn if necessary  (Use OCQ)
Let “x” be negative on the side reacting and positive on products side.
Using Kc
Given Kc and only the (OC) for all species  (continued)
Multiply “x” by coefficients in the equation for that species
Substitute the [OC +/- change] as [EC] value and solve for “x”
Substitute value of “x” to get actual [EC]
LeChatelier’s Principle:
When a system at equilibrium is subjected to a stress, the system will shift in a direction so as to relieve the stress.
What are some of these “stresses”?
Adding or subtracting a species
change in volume of the container
change in the pressure
change in the temperature
LeChatelier’s Principle:
Adding a species.
Rxn will shift in the direction away from the species added.
Removing a species.
Rxn will shift in the direction toward the species removed.
LeChatelier’s Principle:
Changing the volume of the container.
Increase in the volume.
Rxn will shift toward the side with the most moles of gas.
Decreasing the volume.
Rxn will shift toward the side with the fewest moles of gas.
Changing the volume will make no difference if there are the same number of moles of gas on each side.
LeChatelier’s Principle:
Changing the pressure on the container.
Increase in the pressure.
Rxn will shift toward the side with the fewest moles of gas.
Decreasing the pressure.
Rxn will shift toward the side with the most moles of gas.
Changing the pressure will make no difference if there are the same number of moles of gas on each side.
LeChatelier’s Principle:
Changing the temperature.
Affect determined by sign of DH
New value for Kc also a result
Increase in temperature shifts the reaction in the endothermic direction
Decrease in temperature shifts the reaction in the exothermic direction.
Kc and Kp
Kp is the equilibrium constant based on equilibrium partial pressures in atm.
It is related to Kc by the equation:
Kp = Kc(RT)Dng where R is the Ideal Gas Constant and T is the temperature. Dng is the change in number of moles of gas as the reaction is read, left to right. In other words, # mol of gas products - # mol of gas reactants.
Relationship between DG and K
Mathematical relationship is:                           DG = -0.0191 T logK
K stands for every equilibrium constant used in different types of equilibria.  It applies to Kp and NOT Kc for gaseous equilibria.
K versus the sign of DG
If DG < 0, then log K > 0 and K > 1
when all species are at unit concentrations the reaction is spontaneous to the right.
If DG > 0, then log K < 0 and K < 1
the reaction is spontaneous to the left
If DG = 0, then log K = 0 and K = 1
the reaction is at equilibrium