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The concept of chemical equilibrium, focusing on how altering conditions can shift equilibrium concentrations in a reaction. It covers the equilibrium state, the role of the equilibrium constant k, and how temperature, pressure, and catalysts impact equilibrium mixtures. It also discusses the link between equilibrium and kinetics.
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I. The Equilibrium State
N O 2 4 (g) W 2 NO 2 (g) colorless reddish-brown Aside on terms:
We can study this reaction by introducing a pure sample of either N O or NO into a reaction vessel. 2 4 2
Aside: At the leveled off point we say that we have reached equilibrium. Do we ever really reach it, or are we approaching it?
[NO ] 2 (M) 2 2 K c = (^) [N O ] 2 4 = (^) (M) = M
(The reverse rxn. equilibrium constant is called K c N.) Try Probs. 13.1-.3, pp. 496-7. Key Concept Prob. 13.
See text for derivation. (Can you do the derivation? Comment on derivations. )
On your own, Prob. 13.5 & 6.
So far we have confined our comments to one phase systems. Heterogeneous equilibria are also interesting.
[CaO] [CO ] 2 “ K c ” = [CaCO ] 3
[CaO] “ K c ” = [CO ] x 2 â[CaCO ] 3 ê
[CaCO ] 3 “ K c ” x â [CaO] ê = [CO ] 2
Because [CaO] and [CaCO ] are constant, we can 3 combine this term with the “ K c ” term:
[CaCO ] 3 “ K c ” x â [CaO] ê = Kc
This is because: a constant × a constant = a constant.
If we go to the lab we can measure Kc. People have done this. K c = 2.4 x 10 at 500 K. 47
What does this mean re. [H O], [H ], [O ] at equil? 2 2 2
Look at K c expression above to figure this out. If [H O] = 5 M, what would the [H ] x [O ] be? 2 2 2 2
Very small. Essentially all of the material in this system is present in the product, H O. 2
[HI]^2 K c = [H ] [I ] 2 2 At 700 K, Kc = 57.
If we have an equilibrium condition where both [H ] 2 and [I ] are 0.10 M, what is [HI]? 2
Solve for [HI]: [HI] = ( K c x [H ] x [I ]) 2 2 1/
round [HI] = (57.0 x 0.10 x 0.10) 1/2 = 0.75498 ˆ 0.
Here, a significant portion of material is present in both the reactant and product components.
Problem 13.8, p.503.
For ex., if [H ] = 0.07 M, [I ] = 0.2M & [HI] = 3.0 M, 2 2 will this go toward product (HI) or reactants (H & I )? 2 2 H 2(g) + I2(g) W 2 HI(g) [3.0 M]^2 Q c = [0.07 M] [0.2 M] = 9.0 M /0.014 M = 643 2 2
Because Q c is larger than Kc , & the system must go toward the appropriate equilibrium ratios, [HI] must get smaller and [H ] & [I ] bigger. That is, the rxn. 2 2 will go toward the reactants H & I. 2 2
See Fig. 13.5, if it helps. Do prob. 13.9, p. 505.
Do Key Concept Prob. 13.