
To calculate:
The rate law and the rate constant and rate of appearance of

Answer to Problem 13.64QA
Solution:
a)
b)
c)
Explanation of Solution
1) Concept:
There are two methods to determine the order of the reaction.
1. Graphical method - Plot the graph, and match it with the reference plot of order of reaction
2. Initial rate method - Determine the order of individual from ratio of two rate laws by keeping one constant.
In this problem, we are given the initial rates of the experiments. So we can use initial rate method to determine the order of the
We can calculate the rate of appearance from the rate of disappearance from the balanced reaction.
2) Given:
Experiment | Initial rate (M/s) | ||
1 | 0.263 | 0.826 | 1.44 x 10-5 |
2 | 0.263 | 0.413 | 1.44 x 10-5 |
3 | 0.526 | 0.413 | 5.76 x 10-5 |
3) Formulae:
The general rate law equation for given reaction is
m and n are the order of the
4) Calculation
We are asked to determine the order of the reaction and rate constant from the initial rate and initial concentration of
The general rate law equation for given reaction is
We can calculate the m, n, and k from the initial rate values and initial concentrations.
a) To determine the value of m, we will select the pair of experiments with the same concentration of CO, so they can cancel out.
Experiment 3 and experiment 2 has the same value of CO. So, we can take the ratio of rate3 and rate 2 to calculate the order of NO2
So the order of reaction with respect toNO2is2.
Experiment 1 and experiment 2 have the same value of NO2. So, we can take the ratio of rate 1 and rate 2 to calculate the order of CO
So the order of reaction with respect to COis 0.
Therefore, the rate law for the given reaction is
b) Now we will calculate the k value at
Therefore, the rate constant at
c) To calculate the rate of appearance of CO2 , at
From the balanced reaction, rate of disappearance of NO2 = rate of appearance of CO2.
Conclusion:
We have calculated the rate law from the initial rate method and initial concentration given in the problem. Wehave also calculated the rate constant at
Want to see more full solutions like this?
Chapter 13 Solutions
Chemistry: An Atoms-Focused Approach
- Predict the products of this organic reaction: O CH3 + H2O + HCI A A? CH3-CH2-C-N-CH3 Specifically, in the drawing area below draw the condensed structure of the product, or products, of this reaction. If there's more than one product, draw them in any arrangement you like, so long as they aren't touching. If there aren't any products because this reaction won't happen, check the No reaction box under the drawing area. No Reaction Click anywhere to draw the first atom of your structure.arrow_forwardWhat is the missing reactant in this organic reaction? R+ HO-C-CH2-CH3 0= CH3 CH3 —CH, C−NH—CH CH3 + H₂O Specifically, in the drawing area below draw the condensed structure of R. If there is more than one reasonable answer, you can draw any one of them. If there is no reasonable answer, check the No answer box under the drawing area. Note for advanced students: you may assume no products other than those shown above are formed. No Answer Click anywhere to draw the first atom of your structure. €arrow_forward个 CHEM&131 9267 - $25 - Intro to Mail - Hutchison, Allison (Student x Aktiv Learnin https://app.aktiv.com Draw the product of the reaction shown below. Ignore inorganic byproducts. + Na2Cr2O7 Acetone, H2SO4 Type here to search Dryng OH W Prarrow_forward
- Predict the products of this organic reaction: OH + NaOH A? Specifically, in the drawing area below draw the skeletal ("line") structure of the product, or products, of this reaction. (If there's more than one product, draw them in any arrangement you like, so long as they aren't touching.) If there aren't any products because this reaction won't happen, check the No reaction box under the drawing area. No reaction Click and drag to start drawing a structure. ✓ Sarrow_forwardPredict the products of this organic reaction: CH3-C-O-CH2-CH2-C-CH3 + H₂O ? A Specifically, in the drawing area below draw the condensed structure of the product, or products, of this reaction. (If there's more than one product, draw them in any arrangement you like, so long as they aren't touching.) If there aren't any products because this reaction won't happen, check the No reaction box under the drawing area. No reaction Click anywhere to draw the first atom of your structure. :☐ darrow_forwardDE d. Draw an arrow pushing mechanism for the following IN O CI N fo 人 P Polle DELL prt sc home end ins F5 F6 F7 F8 F9 F10 F11 F12arrow_forward
- Predict the products of this organic reaction: + H₂O H* ? A Specifically, in the drawing area below draw the skeletal ("line") structure of the product, or products, of this reaction. (If there's more than one product, draw them in any arrangement you like, so long as they aren't touching.) If there aren't any products because this reaction won't happen, check the No reaction box under the drawing area. No Reaction Click and drag to start drawing a structure.arrow_forwardPredict the major organic products of the reaction below and draw them on right side of the arrow. If there will be no significant reaction, check the box below the drawing area instead. C Cl CH, OH There will be no significant reaction. + pyridine G Click and drag to start drawing a structure.arrow_forwardWhat is the missing reactant in this organic reaction? H R+ H2O Δ OH 0= CH3-CH-O-CH3 + CH3-C-OH Specifically, in the drawing area below draw the condensed structure of R. If there is more than one reasonable answer, you can draw any one of them. If there is no reasonable answer, check the No answer box under the drawing area. No Answer Click anywhere to draw the first atom of your structure. dyarrow_forward
- You are trying to determine whether the following organic reaction can be done in a single synthesis step. If so, add any missing reagents or conditions in the drawing area below. If it isn't possible to do this reaction in a single synthesis step, check the box below the drawing area instead. Note for advanced students: if you have a choice of reagents to add, you should choose the least reactive and most economical reagents possible. Cl It isn't possible to do this reaction in a single synthesis step. + T OHarrow_forwardPredict the products of this organic reaction: CH3 O CH3-CH-C-O-CH2-CH2-CH3 + H₂OH+ Η ? A Specifically, in the drawing area below draw the condensed structure of the product, or products, of this reaction. (If there's more than one product, draw them in any arrangement you like, so long as they aren't touching.) If there aren't any products because this reaction won't happen, check the No reaction box under the drawing area. No Reaction Click anywhere to draw the first atom of your structure.arrow_forward€ CH3-CH-C-O-CH2-CH2-CH3 + NaOH A? Specifically, in the drawing area below draw the condensed structure of the product, or products, of this reaction. (If there's more than one product, draw them in any arrangement you like, so long as they aren't touching.) If there aren't any products because this reaction won't happen, check the No reaction box under the drawing area. Predict the products of this organic reaction: CH3 O Click anywhere to draw the first atom of your structure. No reaction ✓ Garrow_forward
- ChemistryChemistryISBN:9781305957404Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCostePublisher:Cengage LearningChemistryChemistryISBN:9781259911156Author:Raymond Chang Dr., Jason Overby ProfessorPublisher:McGraw-Hill EducationPrinciples of Instrumental AnalysisChemistryISBN:9781305577213Author:Douglas A. Skoog, F. James Holler, Stanley R. CrouchPublisher:Cengage Learning
- Organic ChemistryChemistryISBN:9780078021558Author:Janice Gorzynski Smith Dr.Publisher:McGraw-Hill EducationChemistry: Principles and ReactionsChemistryISBN:9781305079373Author:William L. Masterton, Cecile N. HurleyPublisher:Cengage LearningElementary Principles of Chemical Processes, Bind...ChemistryISBN:9781118431221Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. BullardPublisher:WILEY





