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Using Equilibrium Data. N 2(g) + 3H 2(g). 2NH 3(g). Chemical companies need to predict the effect of changes in reaction conditions on equilibrium yield Le Chatelier’s principle helps but is not quantitative So…. Equlibrium constants K c are used. The Equilibrium Constant K c.
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Using Equilibrium Data N2(g) + 3H2(g) 2NH3(g) • Chemical companies need to predict the effect of changes in reaction conditions on equilibrium yield • Le Chatelier’s principle helps but is not quantitative • So…. Equlibrium constants Kc are used
The Equilibrium Constant Kc • At equilibrium the ratio of the concentrations stays constant • If we know the concentrations of the various substances we can calculate the value of the constant • The equilibrium constant Kc is the ratio of concentrations of the reactants and products.
The Equilibrium Constant Kc The general equation for any homogeneous reaction at equilibrium is… aA + bB cC + dD Product concentrations Kc = [C]c [D]d [A]a [B]b Reactant concentrations [ ] represents the equilibrium concentration in moldm-3 a,b,c & d are the numbers of moles of substances A, B, C & D
Units of Kc • The units of Kc depend on the number of moles in the chemical equation. • Units can be calculated by substituting the units for concentration, mol dm-3 into the equation for Kc
Kc Expressions & Units N2(g) + 3H2(g) 2NH3(g) Kc = [NH3]2 [N2][H2]3 Kc = [moldm-3]2 [moldm-3][moldm-3]3 Kc = 1 [moldm-3]2 = mol-2dm6
Kc Expressions & Units 2SO2(g) + O2(g) 2SO3(g) Kc = [SO3]2 [SO2]2 [O2] Kc = [moldm-3]2 [moldm-3]2 [moldm-3] Kc = 1 moldm-3 = mol-1dm3
Kc Expressions & Units CH3COOH (aq) + CH3CH2OH(aq) CH3COOCH2CH3(ag) + H2O(l) Kc = [CH3COOCH2CH3] [H2O] [CH3COOH ][CH3CH2OH] Kc = [moldm-3] [moldm-3] [moldm-3][moldm-3] Kc no units
Calculating Kc values • Every equilibrium has its own Kc • The value of Kc is constant for a particular reaction at a particular temperature • Kc values for different reactions can be calculated experimentally by finding the concentrations of the substances at equilibria.
Calculating Kc values CH3COOH (aq) + CH3CH2OH(aq) CH3COOCH2CH3(ag) + H2O(l) Kc = [CH3COOCH2CH3] [H2O] [CH3COOH ][CH3CH2OH] Kc = 0.67 x 0.67 0.33 x 0.33 Kc = 4.12
Using The Equilibrium Constant Kc • Kc can be used: • To provide a quantitative measure of the extent of a reaction • To determine the position of equilibrium • To calculate the effect of changing concentrations • In general, if the position of the equilibrium lies well over to the product side Kc will be large • A small equilibrium constant indicates that the position of the equilibrium lies well over to the side of the reactants and not much conversion to products takes place.
Kc Expressions N2(g) + 3H2(g) 2NH3(g) Kc = [NH3]2 [N2][H2]3 Kc = 3.0 x 10-2 mol-2dm6 at 600K Small Kc indicates low yield of NH3