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CHE 1302 Lecture Notes - Lecture 4: Rate Equation, Reaction Rate Constant

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greyduck910
20 Dec 2017
School
Baylor University
Department
Chemistry
Course
CHE 1302
Professor
Mc Grath

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Document Summary

The first order rate constant k for a particular reaction is 6. 8 10 4 s 1. Use the first order integrated rate law: ln[a]t = kt + ln[a]0. [a]0 = 1. 35 m t = 1420 s ln[a] = (6. 8 10 4 s 1) (1420 s) + ln[1. 35] This separate experiment will have a new set of initial conditions, but the rate law will still be the same and the value of k will still be the same: [a] 0 ln(0. 498) = (5. 868 10 4 s 1) (1000 s) + ln[a]0. = ln(0. 498) + [(5. 868 10 4 s 1) (1000 s)] A particular first order reaction has a half-life of 150 s. if the initial reactant concentration is. For this kind of question, first use the half-life to calculate k: k = 0. 693/t = 0. 693/(150s) = 4. 62 10 3 s 1.

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Related Questions

Order Integrated Rate Law Graph Slope 0 [A]=−kt+[A]0 [A] vs. t −k 1 ln[A]=−kt+ln[A]0 ln[A] vs. t −k 2 1[A]= kt+1[A]0 1[A] vs. t k The reactant concentration in a first-order reaction was 9.50×10−2 M after 20.0 s and 6.20×10−3 M after 100 s . What is the rate constant for this reaction?

Order Integrated Rate Law Graph Slope 0 [A]=−kt+[A]0 [A] vs. t −k 1 ln[A]=−kt+ln[A]0 ln[A] vs. t −k 2 1[A]= kt+1[A]0 1[A] vs. t k The reactant concentration in a second-order reaction was 0.890 M after 190 s and 1.70×10−2 M after 705 s . What is the rate constant for this reaction?

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]=?kt+[A]0 [A] vs. t ?k
1 ln[A]=?kt+ln[A]0 ln[A] vs. t ?k
2 1[A]= kt+1[A]0 1[A] vs. t k

Part A

The reactant concentration in a zero-order reaction was 5.00×10?2M after 175 s and 4.00×10?2M after 400 s . What is the rate constant for this reaction?

Part B

What was the initial reactant concentration for the reaction described in Part A?

Part C

The reactant concentration in a first-order reaction was 6.40×10?2M after 50.0 s and 4.60×10?3M after 60.0 s . What is the rate constant for this reaction?

Part D

The reactant concentration in a second-order reaction was 0.730 M after 210 s and 6.40×10?2M after 705 s . What is the rate constant for this reaction?