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Week 6. Chemical Equilibrium Professor Bob Kaplan University Department of Science. Chemical Reaction. A + B = C + D Reactants: A and B Products: C and D. Molar Concentration. [ A ] = Concentration of A [ B ] = Concentration of B
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Week 6 Chemical Equilibrium Professor Bob Kaplan University Department of Science
Chemical Reaction A + B = C + D Reactants: A and B Products: C and D
Molar Concentration [ A ] = Concentration of A [ B ] = Concentration of B [ C ] = Concentration of C [ D ] = Concentration of D Molarity M = Moles / Liter
Spectrophotometry Molar concentration is often measured by shining a light through a cell filled with solution. More light transmitted Dilute solution Less light transmitted Concentrated solution. www.wavesignal.com/Forensics/Anlys.html Check out: UV-Vis Spectrophotometry
Rate of Reaction Rate of the change in concentration Slope of graph: [ A ] vs. t Slope of graph: [ B ] vs. t Slope of graph: [ C ] vs. t Slope of graph: [ D ] vs. t
Rate of Reaction Rate of Change = Δ [ A ] / Δ t Rate of Change = Δ [ B ] / Δ t Rate of Change = Δ [ C ] / Δ t Rate of Change = Δ [ D ] / Δ t
Rate of Reaction Concentration decreases from 0.5 M to 0.1 M Δ [ A ] = ( 0.5 - 0.1 ) = 0.4 M It takes 15 seconds for the concentration to decrease from 0.5 M to 0.1 M. Δ t = 15 sec Rate of Change = Δ [ A ] / Δ t = ( 0.5 - 0.1 ) M / 15 sec = 0.026 M per sec Δ [ A ] / Δ t = 0.026 M per sec
Rxn Rate Concentration • Rxn rate is proportional to concentration • Reaction rate will start out high and taper off as [ A ] and [ B ] are depleted. • Slope will level off as [ A ] and [ B ] Zero *Note: Slope of horizontal line = O
Chemical Equilibrium A + B = C + D Rate of forward reaction A + B C + D = Rate of reverse reaction C + D A + B
Chemical Equilibrium Rate of forward reaction = Rate of reverse reaction Concentrations of reactants and products are said to be in a : Fixed Steady State
Chemical Equilibrium • E.G. If we bail water out of a boat at the same rate that it manages to seep in, then the depth of the pool of water at the bottom of the boat will never change ! • The equilibrium constant K is one way of expressing these fixed concentrations in relation to each other.
Equilibrium Constant K For the reaction: A + B = C + D The equilibrium constant K is given by: K =
Chemical Equilibrium • In terms of the forward and reverse reactions, note that at equilibrium, the rates of these respective reactions are equal. • Thus we have an alternative way of expressing K in terms of k1 and k2 as follows. Rate of forward rxn = k1 [ A ] [ B ] = Rate of reverse rxn = k2 [ C ] [ D ]
Chemical Equilibrium k1 [ A ] [ B ] = k2 [ C ] [ D ] k1 / k2 = [ C ] [ D ] / [ A ] [ B ] = K K = k1 / k2 The ratio of reaction rate constants for the forward and reverse reactions is equivalent to the equilibrium constant for the reaction.
Example 2 H2 + O2 --> 2 H2O What if I know: Δ [ H2 ] / Δ t What can I say about: Δ [ H2O ] / Δ t ??? Mole ratio of H2 : H2O = 2 : 2 = 1 : 1 Δ [ H2 ] / Δ t = Δ [ H2O ] / Δ t
Example 2 H2 + O2 --> 2 H2O What if I know: Δ [ H2 ] / Δ t What can I say about: Δ [ O2 ] / Δ t ??? Mole ratio of O2 : H2 = 1 : 2 = 1 / 2 Δ [ O2 ] / Δ t = ½ Δ [ H2 ] / Δ t
General Rate Law a A + b B = c C + d D ( 1 / a ) * Δ [ A ] / Δ t = ( 1 / b ) * Δ [ B ] / Δ t = ( 1 / c ) * Δ [ C ] / Δ t = ( 1 / d ) * Δ [ D ] / Δ t
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