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Lecture February 6 Chap. 16 - All except the last two (Sec. 16.9 and 16.10) sections - will pick those up after we do Thermodynamics Chap. 16 SmartWork HW and Quiz due Monday Feb. 13 Already Posted CHEM271 - Spring 12 - Feb 06 1 Quiz of the Day Consider the following reaction: 2 SO2(g) + O2(g) → 2SO3 (g) If you start with a closed vessel containing 1.00 atm of SO2 and 1.00 atm of O2, what is the final pressure in the vessel after the reaction has gone to completion. Assume the temperature has not changed. 2 SO2(g) + O2(g) → 2SO3 (g) Initial 1.00atm React -1.00 Final 0 1.00 atm -0.50 0.50 0 +1.00 1.00 Final pressure = 1.50 atm CHEM271 - Spring 12 - Feb 06 Remember P is proportional to n 2 Examples of Equilibria H2O(l) H2O(g) KP = PH2O Remember no condensed phases Vapor pressure of water = 0.031 atm at 25oC (increases with temperature) = 1.00 atm at 100oC N2(g) + O2(g) 2NO(g) KP = (PNO2)2/(PN2 PO2) = 4.1 x 10-31 at 25oC AgCl(s) Ag+(aq) + Cl-(aq) KC = [Ag+] [Cl-] = 1.77 x 10-10 at 25oC K << 1 mostly reactants CHEM271 - Spring 12 - Feb 06 3 Manipulating K N2(g) + 3H2(g) 2NH3(g) KP = (PNH32)/(PN2)(PH23) 1) Reverse the reaction: 2NH3(g) N2(g) + 3H2(g) KP’ = 1/KP =(PN2)(PH23)/(PNH32) 2) Multiply by a constant: 2N2(g) + 6H2(g) 1/2N2(g) + 3/2H2(g) KP’ =KP2 4NH3(g) (PNH34)/(PN22)(PH26) NH3(g) KP’ = (KP)1/2 =(PNH3)/(PN21/2)(PH23/2) CHEM271 - Spring 12 - Feb 06 4 3)Combining Chemical Equations Combine two reactions: Step 1: 3H2(g) +N2(g) N2H4(g) + H2(g) Step 2: N2H4(g) + H2(g) Net reaction: 3H2(g) + N2(g) 2NH3(g) K1 K2 2NH3(g) Knet = K1 K2 Note: If subtracted (2) same as adding the reverse equation and Knet = K1/K2 CHEM271 - Spring 12 - Feb 06 5 Conversions Between KP and KC CaCO3(s) CaO(s) + CO2(g) KP = PCO2 = 3.7x10-4 Sec. 16.3 KP =KC(RT)Δn Note: CO2 only 0.037% by volume in atmosphere KC = [CO2] = 1.5x10-5 n/V = [ ] = P/RT = 1.5x10-5 M at T=298K Fe2O3(s) + 3CO(g) 2Fe(l) + 2CO2(g) KP = (PCO2)2/(PCO)3 KC = [CO2]2/[CO]3 Here KC = KP(RT) Remember: Solids and liquids are not included! CHEM271 - Spring 12 - Feb 06 6 Reaction Quotient Q Same form as for Keq but using the [ ] (or P) that you have. Q < K reaction will move to the product side (right) to achieve equilibrium Q > K reaction will move to the reactants side (left) to achieve equilibrium Q = K reaction is at equilibrium CHEM271 - Spring 12 - Feb 06 7 Q Example H2O(g) + CO(g) H2(g) + CO2(g) KP = 1.5 at a given T KP = PH2PCO2/PH20PCO If you have a gas mixture that is 0.60 atm H2O (g), 0.80 atm CO(g), 1.0 atm H2(g) and 0.9 atm CO2, which direction will the reaction go to achieve equilibrium? QP = (1.0)(0.9)/(0.6)(0.8) = 1.875 Q>K reaction will go to the LEFT or REACTANTS CHEM271 - Spring 12 - Feb 06 8 Keq from Reaction Data H2O(g) + CO(g) H2(g) + CO2(g) Given the following: KC = 1.50x10-2 moles H2O and 1.50x10-2 [H2][CO2]/[H2O][CO] moles CO in a sealed vessel. At equilibrium there is 8.3x10-3 moles of CO2. -2)2/(.67x10-2)2 = (.83x10 What is the value of Kc? NOT EKC = 1.5 T ICE table for theh reaction er e are H (g) + CO (g) H O(g) + CO(g) n o Initial 1.50x10 1.50x10 0 un 0 kno Change -.83x10 -.83x10 +.83x10 +.83x10 wn s 2 Equil 2 -2 -2 -2 -2 2 -2 -2 0.67x10-2 0.67x10-2 0.83x10-2 0.83x10-2 CHEM271 - Spring 12 - Feb 06 9 Quiz of the Day The equilibrium constant KP for the thermal decomposition of NO2 is 6.5x10-6 at 450.oC. What is KC at this temperature? 2 NO2(g) ANS: 2 NO(g) + O2(g) KP = PNO2PO2 /PNO22 P = [ ]RT KP ={[NO]2[O2]/[NO2]2}(RT)3/RT2 KP=KC(RT) KC T = 450+273 = 723 KC = (6.5x10-6)/(0.08206)(723) = 1.1x10-7 CHEM271 - Spring 12 - Feb 06 10