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Drill: List five factors & explain how each affect reaction rates
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Review Drill & Check HW
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CHM II HW Review PP-19 & 20 Complete the attached worksheet & turn it in tomorrow Lab Thursday
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Are there any questions on previous material?
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Chemical Equilibria
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Equilibrium The point at which the rate of a forward reaction = the rate of its reverse reaction
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Equilibrium The concentration of all reactants & products become constant at equilibrium
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Equilibrium Because concentrations become constant, equilibrium is sometimes called steady state
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Equilibrium Reactions do not stop at equilibrium, forward & reverse reaction rates become equal
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Reaction aA (aq) + bB (aq) pP (aq) + qQ (aq) Rate f = k f [A] a [B] b Rate r = k r [P] p [Q] q At equilibrium, Rate f = Rate r k f [A] a [B] b = k r [P] p [Q] q
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At equilibrium, Rate f = Rate r k f [A] a [B] b = k r [P] p [Q] q k f / k r = ([P] p [Q] q )/ ( [A] a [B] b ) k f / k r = K c = K eq in terms of concentration K c = ([P] p [Q] q )/ ( [A] a [B] b )
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All Aqueous aA + bB pP + qQ
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Equilibrium Expression ( Products) p (Reactants) r K eq =
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Drill: Solve Rate Expr: X + Y M + N fast 3M + N 2G fast 2N K fast 2G + K Prod. slow
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Drill: Solve Rate Expr: X + Y M + N fast 3M + N 2G fast 2N K fast 2G + K Prod. slow
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Work from the slow step up
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Drill: Solve Rate Expr: X + Y M + N fast 3M + N 2G fast 2N K fast 2G + K Prod. slow
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1) Cancel K & G
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Drill: Solve Rate Expr: X + Y M + N fast 3M + N 2G fast 2N K fast 2G + K Prod. slow
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1)Cancel K & G Triple rxn 1 & cancel
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Drill: Solve Rate Expr: 3X + 3Y 3M + 3N 3M + N 2G fast 2N K fast 2G + K Prod. slow
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Solve Rate Law A + B C + Dfast 4 C + A 2Gfast 2 K 4D + B fast G + K 2 Q + 2 Wfast Q + W Prod.slow
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Drill: Solve Rate Law A + B C + Dfast 4 C + A 2Gfast 2 K 4D + B fast G + K 2 Q + 2 Wfast Q + W Prod.slow
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1) Reverse step 3
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Drill: Solve Rate Law A + B C + Dfast 4 C + A 2Gfast 4 D + B 2K fast G + K 2 Q + 2 Wfast Q + W Prod.slow
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1)Reverse Rxn 3 Divide Rxn 4 by 2 & cancel
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Drill: Solve Rate Law A + B C + Dfast 4 C + A 2Gfast 4 D + B 2K fast G/2 + K/2 Q + Wfast Q + W Prod.slow
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1)Reverse Rxn 3 Divide Rxn 4 by 2 & cancel Divide Rxns 2 & 3 by 4 & cancel
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Drill: Solve Rate Law A + B C + Dfast C + A/4 G/2fast D + B/4 K/2 fast G/2 + K/2 Q + Wfast Q + W Prod.slow
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1)Reverse Rxn 3 Divide Rxn 4 by 2 & cancel Divide Rxns 2 & 3 by 4 & cancel Add the rxns
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5/4 A + 5/4 B Product Rate = k[A] 5/4 [B] 5/4
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Review & Collect Drill & HW
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CHM II HW Review PP-19 & 20 Remember M. S.
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Are there any questions on previous material?
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Equilibrium Applications When K >1, [P] > [R] When K <1, [P] < [R]
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Equilibrium Calculations K p = K c (RT) n gas
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Equilibrium Expression Reactants or products not in the same phase are not included in the equilibrium expression
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Equilibrium Expression aA (s) + bB (aq) cC (aq) + dD (aq) [C] c [D] d [B] b K eq =
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Reaction Mechanism When one of the intermediates anywhere in a reaction mechanism is altered, all intermediates are affected
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Reaction Mechanism 1) A + B C + D 2) C + D E + K 3) E + K H + M 4) H + M P
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Lab Results %100806040 RT5.218.4211.9 21.7 WR2.754.237.96 11.2
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Reaction Quotient where [A], [B], [P], and [Q] are molarities at any time. Q = K only at equilibrium. aA (aq) + bB (aq) pP (aq) + qQ (aq)
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Drill: NH 3 H 2 + N 2 At a certain temperature at equilibrium P ammonia = 4.0 Atm, P hydrogen = 2.0 Atm, & P nitrogen = 5.0 Atm. Calculate K eq :
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Review & Collect Drill & HW
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CHM II HW Review PP 19 & 20 Complete the attached assignment & turn it in tomorrow
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Are there any questions on previous material?
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Reaction Quotient where [A], [B], [P], and [Q] are molarities at any time. Q = K only at equilibrium. aA (aq) + bB (aq) pP (aq) + qQ (aq)
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Equilibrium Applications When K > Q, the reaction goes forward When K < Q, the reaction goes in reverse
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Equilibrium Calculations aA + bB pP + qQ Stoichiometry is used to calculate the theoretical yield in a one directional rxn
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Equilibrium Calculations aA + bB pP + qQ In equilibrium rxns, no reactant gets used up; so, calculations are different
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Equilibrium Calculations Set & balance rxn Assign amounts with x Write eq expression Substitute amounts Solve for x
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Equilibrium Calculations CO + H 2 O CO 2 + H 2 Calculate the partial pressure of each portion at eq.when 100.0 kPa CO & 50.0 kPa H 2 O are combined: K p = 3.4 x 10 -2
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Equilibrium Calculations COH 2 OCO 2 H 2 100 -x 50 - x x x P CO2 P H2 x 2 P CO P H2O (100-x) (50-x) K p = 3.4 x 10 -2 =KP=KP= Send to the next page
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Equilibrium Calculations x 2 (100 -x)(50 - x) x 2 5000 -150x + x 2 x 2 = 170 - 5.1x + 0.034x 2 0.966x 2 + 5.1x - 170 = 0 = = 3.4 x 10 -2
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Equilibrium Calculations 0.966x 2 + 5.1x - 170 = 0 Use the quadratic equation to solve for x x = 11 x = -16 Substitute 11 back into the originally assigned #
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Equilibrium Calculations COH 2 OCO 2 H 2 100 -x 50 - x x x 100-11 50-11 11 11 P CO = 89 kPa P H2O = 39 kPa P CO2 = 11 kPa P H2 = 11 kPa
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Equilibrium Calculations Xe (g) + F 2(g) XeF 2(g) Calculate the partial pressure of each portion when 50.0 kPa Xe & 100.0 kPa F 2 are combined: K p = 4.0 x 10 -1
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Equilibrium Calculations XeF 2 XeF 2 50 -x 100 - x x P XeF2 x P Xe P F2 (50-x) (100-x) K p = 4.0 x 10 -1 =KP=KP= Send to the next page
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Equilibrium Calculations x (50 -x)(100 - x) x 5000 -150x + x 2 x = 2000 - 60x + 0.40x 2 0.40x 2 -61x + 2000 = 0 = = 4.0 x 10 -1
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Equilibrium Calculations 0.40x 2 - 61x + 2000 = 0 Use the quadratic equation to solve for x x = 48 x = 105 Substitute 48 back into the original assignmented #
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Equilibrium Calculations XeF 2 XeF 2 50 -x 100 - x x 50-48 100-48 48 P Xe = 2 kPa P F2 = 52 kPa P XeF2 = 48 kPa
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SO 2 + O 2 SO 3 Determine the magnitude of the equilibrium constant if the partial pressure of each gas is 0.667 Atm.
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Drill: Write the equilibrium expression & solve its magnitude when P NO2 & P N2O4 = 50 kPa each at eq: N 2 O 4(g) NO 2(g)
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Review Drill & Check HW
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CHM II HW Review PP-20 Complete the attached HW
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CHM II Schedule: Lab: Later this week Test Early next week
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Are there any questions on previous material?
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Equilibrium Calculations Xe (g) + 2 F 2(g) XeF 4(g) Calculate the partial pressure of each portion when 75 kPa Xe & 20.0 kPa F 2 are combined: K p = 4.0 x 10 -8
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Le Chatelier’s Principle If stress is applied to a system at equilibrium, the system will readjust to eliminate the stress
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LC Eq Effects A (aq) +2 B (aq) C (aq) + D (aq) + heat Write equilibrium exp: What happens if:
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LC Eq Effects 2 A (aq) + B (s) C (aq) +2 D (aq) + heat Write equilibrium exp: What happens if:
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LC Eq Effects 2 A (g) + 2 B (g) 3 C (g) + 2 D (l) What happens if:
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Equilibrium Applications G = H - T S G = - RTlnK eq
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Drill: Solve for K A (aq) + 2 B (aq) C (s) + 2 D (aq) Calculate K eq if: [A] = 0.30 M [B] = 0.20 M C = 5.0 g [D] = 0.30 M
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Review & Collect Drill & HW
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Schedule Lab: Friday Test: Next week
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CHM II HW Review PP-20 Complete the attached assignment & turn it in tomorrow.
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Are there any questions on previous material?
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A (aq) + B (aq) AB (aq) Calculate the equilibrium concentration of each species when equal volumes of 0.40 M A & 0.20 M B are combined. K eq = 0.50
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Equilibrium Calculations Xe (g) + F 2(g) XeF 2(g) Calculate the partial pressure of each portion when 80.0 kPa Xe & 60.0 kPa F 2 are combined: K p = 4.0 x 10 -2
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Drill: A + B C + D Calculate the equilibrium concentration of each species when equal volumes of 0.60 M A & 0.80 M B are combined. K eq = 5.0 x 10 -6
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Review & Collect Drill & HW
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CHM II HW Review PPs 19 & 20 Review both for the Test on Monday.
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The Test on Rxn Rates & Chemical Equilibria will be on Monday
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Are there any questions on previous material?
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Working with Equilibrium Constants
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When adding Reactions: Multiply Ks
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ABK 1 B CK 2 ACK 3 K 3 = (K 1 )(K 2 )
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Solve K for each: A + B C + D C + D P + Q A + B P + Q K1K1 K2K2 K3K3
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When doubling Reactions: Square Ks
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ABK 1 2 A2 B K 2 K 2 = (K 1 ) 2
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When a rxn is multiplied by any factor, that factor becomes the exponent of K
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ABK 1 1/3 A1/3 B K 2 K 2 = (K 1 ) 1/3
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When reversing Reactions Take 1/Ks
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ABK 1 B AK 2 K 2 = 1/K 1
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Equilibrium Calculations CuCl 6 -4 (aq) + 2 NH 3(aq) [Cu(NH 3 ) 2 Cl 4 ] -2 (aq) Calculate the molarity of each portion when 0.10 M CuCl 6 -4 & 1.0 M NH 3 are combined: K formation = 0.060
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Equilibrium Calculations Rn (g) + F 2(g) RnF 2(g) Calculate the partial pressure of each portion when 25 kPa Rn & 75 kPa F 2 are combined: K p = 4.0 x 10 -2
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Drill: A + B P + Q Calculate the concentration of each portion at equilibrium when 100.0 mL 0.50 M A is added to 150 mL 0.50 M B: K c = 6.0 x 10 -8
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Review Drill & Check HW
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Next Test Monday
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Review for the Test
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Rate Law aA + bB pP + qQ k[A] a [B] b Rate =
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Equilibrium Equation aA + bB pP + qQ [P] p [Q] q [A] a [B] b K c = at equilibrium
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Reaction Quotient aA + bB pP + qQ [P] p [Q] q [A] a [B] b Q = at the other conditions
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The data on the next slide was obtained in lab. Use that data to solve for the order with respect to each reactant, the reaction order, the rate expression, k, & E a.
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Experimental Results Exp # [A] [B] Rate 1 27 1.0 1.0 2.0 x 10 -2 2 27 2.0 1.0 4.0 x 10 -2 3 27 1.0 2.0 8.0 x 10 -2 4 77 1.0 1.0 2.0
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Reaction Mechanism Step 1A Bfast Step 22 B 3Cfast Step 3C 2Dfast Step 4D P slow
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LC Eq Effects 2 A (aq) + B (s) C (aq) +2 D (aq) + heat Write equilibrium exp: What happens if:
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LC Eq Effects 3 A (g) + B (g) 2 C (g) + 2 D (l) Write equilibrium exp: What happens if:
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SO + O 2 SO 3 Calculate the equilibrium pressures if SO at 80.0 kPa is combined with O 2 at 40.0 kPa. K = 2.00
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Equilibrium Calculations I 2 + 2 S 2 O 3 -2 S 4 O 6 -2 + 2 I - Calculate the equilibrium concentration of each portion when it’s 0.25 M I 2 & 0.50 M S 2 O 3 -2 at the start of the rxn. K c = 4.0 x 10 -8
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Clausius-Claperon Eq E a = R ln (T 2 )(T 1 ) k 2 (T 2 – T 1 ) k 1
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Clausius-Claperon Eq H v = R ln (T 2 )(T 1 ) P 2 (T 2 – T 1 ) P 1
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Clausius-Claperon Eq H = R ln (T 2 )(T 1 ) K 2 (T 2 – T 1 ) K 1
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G - S G o = -RTlnK
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Experimental Results Exp # [A] [B] [C] time 1 1.0 1.0 1.0 16 2 2.0 1.0 1.0 2 3 1.0 2.0 1.0 8 4 1.0 1.0 2.0 4
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Drill: 1 A + 1 B 1 Z + 1 Y Calculate the concentration of each portion at equilibrium when 1.0 L 0.50 M A is added to 1.5 L 0.50 M B: K c = 2.0 x 10 -2
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Drill: Calculate the heat of reaction when K = 2.5 x 10 -6 at 27 o C, & K = 2.5 x 10 -4 at 127 o C.
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Write the Eq Expression AB (aq) A (aq) + B (aq) Calculate [A], [B], & [AB] at equilibrium when [AB] = 0.60 M at the start K eq = 6.0 x 10 -5
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Write the Eq Expression PQ (aq) P (aq) + Q (aq) Calculate [P], [Q], & [PQ] at equilibrium when [PQ] = 0.90 M at the start K eq = 9.0 x 10 -5
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Write the Eq Expression AB (aq) A (aq) + B (aq) Calculate [A], [B], & [AB] at equilibrium when [AB] = 0.60 M at the start K eq = 6.0 x 10 -5
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Experimental Results Exp # [A] [B] [C] Rate 1 0.1 0.1 0.2 2 2 0.1 0.3 0.2 18 3 0.1 0.1 0.8 8 4 0.2 0.1 0.2 64
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A + B C + D C + H M + N N + T P + Q What happens all intermediates if:
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1A + 1B1P + 1Q [A i ] = 0.20 MCalcu- [B i ] = 0.30 Mlate the [P i ] = 0.20 Meq con- [Q i ] = 0.30 Mcentra- K c = 0.020tion of ea.
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