CHE 132 Lecture 27: CHE 132 Lecture 24
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The integrated rate laws for zero-, first-, and second-order reaction may be arranged such that they resemble the equation for a straight line,y=mx+b.
Order | Integrated Rate Law | Graph | Slope |
0 | [A]=âkt+[A]0 | [A] vs. t | âk |
1 | ln[A]=âkt+ln[A]0 | ln[A] vs. t | âk |
2 | 1[A]= kt+1[A]0 | 1[A] vs. t | k |
Part A
The reactant concentration in a zero-order reaction was 7.00Ã10â2M after 135 s and 2.50Ã10â2M after 315 s . What is the rate constant for this reaction?
Express your answer with the appropriate units.
Part B
What was the initial reactant concentration for the reaction described in Part A?
Express your answer with the appropriate units.
Part C
The reactant concentration in a first-order reaction was 9.40Ã10â2M after 50.0 s and 1.50Ã10â3M after 75.0 s . What is the rate constant for this reaction?
Express your answer with the appropriate units.
Part D
The reactant concentration in a second-order reaction was 0.250 M after 170 s and 2.60Ã10â2M after 835 s . What is the rate constant for this reaction?
Express your answer with the appropriate units. Include an asterisk to indicate a compound unit with mulitplication, for example write a Newton-meter as N*m.t B
What was the initial reactant concentration for the reaction described in Part A?
Express your answer with the appropriate units.
For the reaction A+B+CâD+E , the initial reaction rate was measured for various initial concentrations of reactants. The following data were collected:
Trial | [A] (M ) | [B] (M ) | [C] (M ) | Initial rate (M/s ) |
1 | 0.20 | 0.20 | 0.20 | 6.0Ã10â5 |
2 | 0.20 | 0.20 | 0.60 | 1.8Ã10â4 |
3 | 0.40 | 0.20 | 0.20 | 2.4Ã10â4 |
4 | 0.40 | 0.40 | 0.20 | 2.4Ã10â4 |
The rate of a chemical reaction depends on the concentrations of the reactants. For the general reaction between A and B ,
aA+bBâcC+dD
The dependence of the reaction rate on the concentration of each reactant is given by the equation called the rate law:
rate=k[A]^m[B]^n
where k is a proportionality constant called the rate constant. The exponent m determines the reaction order with respect to A , and n determines the reaction order with respect to B . The overall reaction order equals the sum of the exponents (m+n ).
Part A
What is the reaction order with respect to A ?
Express your answer as an integer.
Part B
What is the reaction order with respect to B ?
Express your answer as an integer.
Part C
What is the reaction order with respect to C ?
Express your answer as an integer.