Equilibrium • All reactions are reversible • In labs, many products of chem.reactions can be directly reacted to form the reactants • Sometimes the conditions for the reaction to occur are similar for the forward and reverse reactions, other times they are different – Ex. Fe3O4 + 4H2 3Fe + 4H2O(l) 3Fe + 4H2O(g) Fe3O4 + 4H2 If steam is not allowed to escape • Both reactions are taking place simultaneously at different rates • Eventually the two rates are equal • Chemical Equilibrium • Write one equation with a double arrow Characteristics • State of balance between opposing changes can be physical • Vapor-liquid • Changes can be chemical • The original changes before an equilibrium exists are observable • Changes in • concentration • Temperature • State • Definite relationship between concentrations of reactants and products when reversible reaction is in Equilibrium • Example: H2 (g) + I2(g) D 2HI(g) at 4900C [H2]= 1mol/dm3 [I2]= 1mol/dm3 When H and I come into contact, reaction starts Equil.is achieved when reaction rate = product rate • The relationship between Reactants and Products is expressed as Keq and can be expressed as: • Kc(eq) = [Products] [Reactants] • Coefficients in the balanced equation are used as superscripts in the equation • The Equilibrium Constant (Kc) will not change in a closed system • It is affected by changes in temperature • What does the Kc value determine? • Size of value determines the extent a reaction proceeds to the right hand side of a reversible reaction before an equilibrium is achieved • A constant value <1 indicates little product forming • Constant >1 shows product formation favored • The higher the value, the greater the amt.of product • Reactions are sensitive to changes in conc., temp. and press. • A change in one of these places stress on the system • Stress causes the equil. to Shift • A new equil. is eventually achieved with the new factors • LeChatlier’s Principle • LeChatelier’s Principle – System in equilibrium subjected to stress( change in con., temp. or press.) the equilibrium will shift in the direction that tends to counteract the effect of the stress Concentration changes A+BD C+D Add A more AB collisions Forward reaction faster Equil. No longer exists B consumed and its conc. Decreases the reaction slows • C + D conc. Increases and its collisions increase and its reaction begins to speed up • A new equilibrium is established • • • • • Temperature changes • endo N2(g) + 3H2(g) D 2NH3(g) + 92kJ exo Haber Process • Every equilibrium has an endo and an exo component temp. stress countered by favoring the endothermic reaction since it absorbs heat $temp. stress countered by favoring the exothermic reaction as heat is given off Pressure changes • Applies mostly to reactions with gases endo N2(g) + 3H2(g) D 2NH3(g) + 92kJ exo Haber Process • Increase pressure- favors side with fewer moles ( # of particles) of substance • Decrease pressure favors side with more moles of substance • Calculate an equilibrium constant K • Don’t always know conc. of all substances • Knowing conc. Of one, can stoichiometrically determine others • 1. Tabulate known initial and equil.conc. for all species in the equilibrium • 2. For species with known conc. of initial and equilibrium conc., calculate change in conc. as reaction approaches equilibrium • 3. Use stoich to determine conc. of all others • 4. From init. and changes in conc. Calculate the equilibrium concs. Evaluate Kc • Example: a mixture of 5.000x10-3 mol H2 and 1.000x10-2 mol I2 is placed in a 5.000L container at 448oC and allowed to come to equilibrium. Analysis of the equil. mixture shows the conc. of HI is 1.87x10-3 M. Calculate Kc at 448oC for the reaction. • First: Calculate concentrations of all reactants and products • [H2]init = 5.000x10-3 mol = 1.000x10-3 M 5.000L • [I2]init = 1.000x10-2 mol = 2.00x10-3 M 5.000L • • • • Place above values into a ICE table I initial conc. C change in conc. E equilibrium conc. • H2(g) + Initial 1.000X10-3 M Change Equilibrium I2(g) D 2.00x10-3 M 2HI(g) 0M 1.87x10-3M • Second: calculate change conc. of HI using initial and equil. values • Change is +1.87x10-3 M • Third: use stoichiometry to calculate changes in other substances • (1.87x10-3 mol HI)(1 mol H2) = L 2 mol HI • 0.935x10-3 mol H2/L • The value for I2 is the same as H2 • H2(g) + Initial 1.000x10-3 M Change -0.935x10-3 M Equilibrium I2(g) D 2HI(g) 2.000x10-3 M 0M -0.935x10-3 M +1.87x10-3 M 1.87x10-3 M • Fourth: calculate equil. conc. using initial conc. and changes • Equilibrium conc. H2 is init. minus consumed • [H2] = 1.000x10-3 M – 0.935x10-3 M = 0.065x10-3 M • [I2] = 2.00x10-3 M – 0.935x10-3 M = 1.065x10-3 M • H2(g) + I2(g) D 2HI(g) Initial 1.000x10-3 M 2.000x10-3 M 0M Change -0.935x10-3 M -0.935x10-3 M +1.87x10-3 M Equilibrium 0.065x10-3 M 1.065x10-3 M 1.87x10-3 M • Finally: now know equilibrium concentrations of reactants and products • Use equilibrium expression to calculate Kc • Kc = [HI]2 = (1.87x10-3)2 [H2][I2] (0.065x10-3)(1.065x10-3) = 51 • For solutions that have solutes dissolved in water, the same principle can be applied • Ksp is the solubility constant • Ksp = [Products] • Example: • MgCl2 Mg+2(aq) + 2Cl-1(aq) • Ksp = [Mg+2][Cl-1]2 K of acids and bases • • • • Ka Kb Ka = [H+][cation] = [H+]2 Kb = [anion][OH-] = [OH-]2 Strong acids and bases dissociate completely into H+ or OH- and use above equations • Weak acids and bases do not and are similar to equilibrium equations • Ka or Kb = [products] [reactants] use ICE chart
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