The mechanism of a reaction A â B is investigated. At the beginning of the reaction, the concentration of A is 1.85âââ10â3M. After 75.0 s, the concentration of A is 4.61âââ10â5M. Using the integrated rate laws, calculate the half-life of the reaction at 75.0 s for the following conditions.
(a) The reaction is first order in A.
(b) The reaction is second order in A.
The mechanism of a reaction A â B is investigated. At the beginning of the reaction, the concentration of A is 1.85âââ10â3M. After 75.0 s, the concentration of A is 4.61âââ10â5M. Using the integrated rate laws, calculate the half-life of the reaction at 75.0 s for the following conditions.
(a) The reaction is first order in A.
(b) The reaction is second order in A.
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Related questions
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.
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 |
A) The reactant concentration in a zero-order reaction was 5.00Ã10â2M after 185 s and 4.00Ã10â2M after 355 s . What is the rate constant for this reaction?
Express your answer with the appropriate units.
B)
What was the initial reactant concentration for the reaction described in Part A?
Express your answer with the appropriate units.
C)
The reactant concentration in a first-order reaction was 8.10Ã10â2M after 50.0 s and 7.00Ã10â3M after 95.0 s . What is the rate constant for this reaction?
Express your answer with the appropriate units.
D)
The reactant concentration in a second-order reaction was 0.790 M after 120 s and 7.60Ã10â2M after 775 s . What is the rate constant for this reaction?
Express your answer with the appropriate units.