11 Integrated Rate Laws

# 11 Integrated Rate Laws - Ozone reacts with ethylene to...

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1 Ozone reacts with ethylene to produce formaldehyde. 2 O 3 (g) + 2 C 2 H 4 (g) 4 CH 2 O(g) + O 2 (g) The data in the table below show how the initial rate of the reaction varies with the initial concentrations of the reactants. Use the data to determine the order of the reaction with respect to ozone, x, and ethylene, y. Report the overall order, x + y. Rate = k [O 3 ] x [C 2 H 4 ] y A) 2 B) 3 C) 4 [O 3 ] 10 -7 mol L -1 [C 2 H 4 ] 10 -8 mol L -1 Initial Rate 10 -12 mol L -1 s -1 0.5 1.0 1.0 1.5 1.0 3.0 1.0 2.0 4.0 2 Integrated Rate Laws The rate law gives the rate at which reactant and product concentrations are changing. The integrated rate law gives a reactant concentration as a function of time. Integrated laws are obtained from rate laws by integration, i.e. using Calculus!

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3 Workshop Activity This Week Time of Death in Solving Real Problems with Chemistry Bookstore didn’t order enough copies so the activity is posted on Bb in Assignments section. Print a copy and take it to your workshop. Publishers permission, this time only! Today’s material is directly relevant! 4 Three Cases for a Single Reactant, A Zero order wrt A A products Rate = - [A]/ t = k [A] 0 = k [A] t = - k t + [A] 0 Graph of [A] t vs t Straight line, slope – k, intercept [A] 0 First order Second order y = m x + b
5 First Order in A A products Rate = - [A]/ t = k [A] ln [A] t = - k t + ln [A] 0 Graph of ln [A] t vs t Straight line, slope – k, intercept ln [A] 0 y = m x + b 6 Second Order in A A products Rate= - [A]/ t = k [A] 2 Graph of 1/[A] t vs t Straight line, slope + k, intercept 1/[A] 0 y = m x + b 0 1 1 [ ] [ ] t kt A A

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11 Integrated Rate Laws - Ozone reacts with ethylene to...

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