Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Related questions
Question
How did my teacher get the 1st order row and the ln k row
![The table provided contains data for the first-order decomposition of penicillin, as referenced from Swintosky et al.
| Temp (°C) | Temp (K) | 1/Temp (1/K) | 1st-order k (hr⁻¹) | ln k |
|-----------|----------|--------------|---------------------|--------|
| 54 | 327 | 3.06 x 10⁻³ | 0.119 | -2.129 |
| 43 | 316 | 3.16 x 10⁻³ | 0.0403 | -3.211 |
| 37 | 310 | 3.23 x 10⁻³ | 0.0216 | -3.835 |
The task is to plot the results and calculate the activation energy (Eₐ) and the Arrhenius factor (A).
The graph is a plot of ln k versus 1/T (K), showing a straight line that represents the relationship described by the Arrhenius equation:
\[ \ln k = \frac{-E_a}{RT} + \ln A \]
**Graph Details:**
- The x-axis represents \( 1/T \) in units of \( \text{K}^{-1} \), ranging from approximately 0.003 to 0.00325.
- The y-axis represents \( \ln k \), ranging from -4 to 0.
- The plot shows a linear trend with a line fitted through the data points, suggesting that the relationship follows the expected linear form of the Arrhenius equation.
**Equation of the Line:**
\[ y = -10820x + 28.987 \]
\[ R^2 = 1 \]
The equation suggests a perfect linear fit, signified by \( R^2 = 1 \). The slope of the line (-10820) can be used to calculate the activation energy \( E_a \), and the intercept (28.987) corresponds to \( \ln A \).](https://content.bartleby.com/qna-images/question/d3bff78c-0664-4fd2-87be-a2a31e3df155/75c8c8c6-9ebb-476e-99be-b8e43349d39a/p5rcm7v_processed.png)
Transcribed Image Text:The table provided contains data for the first-order decomposition of penicillin, as referenced from Swintosky et al.
| Temp (°C) | Temp (K) | 1/Temp (1/K) | 1st-order k (hr⁻¹) | ln k |
|-----------|----------|--------------|---------------------|--------|
| 54 | 327 | 3.06 x 10⁻³ | 0.119 | -2.129 |
| 43 | 316 | 3.16 x 10⁻³ | 0.0403 | -3.211 |
| 37 | 310 | 3.23 x 10⁻³ | 0.0216 | -3.835 |
The task is to plot the results and calculate the activation energy (Eₐ) and the Arrhenius factor (A).
The graph is a plot of ln k versus 1/T (K), showing a straight line that represents the relationship described by the Arrhenius equation:
\[ \ln k = \frac{-E_a}{RT} + \ln A \]
**Graph Details:**
- The x-axis represents \( 1/T \) in units of \( \text{K}^{-1} \), ranging from approximately 0.003 to 0.00325.
- The y-axis represents \( \ln k \), ranging from -4 to 0.
- The plot shows a linear trend with a line fitted through the data points, suggesting that the relationship follows the expected linear form of the Arrhenius equation.
**Equation of the Line:**
\[ y = -10820x + 28.987 \]
\[ R^2 = 1 \]
The equation suggests a perfect linear fit, signified by \( R^2 = 1 \). The slope of the line (-10820) can be used to calculate the activation energy \( E_a \), and the intercept (28.987) corresponds to \( \ln A \).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 3 steps
Knowledge Booster
Similar questions
- Which of these statements concerning p-orbitals is false? 1. They consist of two equivalent lobes. 2. They are absent from the first shell of atomic orbitals. 3. They can form & bonds. 4. They only participate in bonding on carbon atoms. 5. They can hold a maximum of two electrons.arrow_forwardChoose the molecules that display complete conjugation of the pi system. О О О ил НО. OH HO рос OH -NH NH SOH HN OH OH OH OH OHarrow_forwardWhich of the following orbitals in F2 do not possess a nodal plane? You may choose more than one response. σ2s σ2p π*2p π2p σ*2s σ*2parrow_forward
- Draw the p-orbitals that are involved in all of the pi-systems in Welwitindolinone Aarrow_forwardPlease confirm if my answer is correct or not. Due to the need for this to be correct I would like you to provide me with a confidence score in you answer on a scale from 1 to 10 how confident are you in your answer. Please be sure to double check your answerarrow_forwardPlease confirm if my answer is correct or not. Due to the need for this to be correct I would like you to provide me with a confidence score in you answer on a scale from 1 to 10 how confident are you in your answer. Please be sure to double check your answerarrow_forward
- Match the hybridized and atomic orbitals to the appropriate labels. Drag-and-drop each label to the appropriate target, each answer choice can only be used once. C 5p3 B sp³d D sp F sp³2arrow_forwardFrom the following, determine the best diene.arrow_forwardConstruct the HCHO molecule in MolView and select the most accurate value of the H-C-H bond angle below. 109.5° 90° 120° 180°arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- ChemistryChemistryISBN:9781305957404Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCostePublisher:Cengage Learning
ChemistryChemistryISBN:9781259911156Author:Raymond Chang Dr., Jason Overby ProfessorPublisher:McGraw-Hill Education
Principles 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 Education
Chemistry: Principles and ReactionsChemistryISBN:9781305079373Author:William L. Masterton, Cecile N. HurleyPublisher:Cengage Learning
Elementary Principles of Chemical Processes, Bind...ChemistryISBN:9781118431221Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. BullardPublisher:WILEY
Chemistry
Chemistry
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Cengage Learning
Chemistry
Chemistry
ISBN:9781259911156
Author:Raymond Chang Dr., Jason Overby Professor
Publisher:McGraw-Hill Education
Principles of Instrumental Analysis
Chemistry
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Cengage Learning
Organic Chemistry
Chemistry
ISBN:9780078021558
Author:Janice Gorzynski Smith Dr.
Publisher:McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning
Elementary Principles of Chemical Processes, Bind...
Chemistry
ISBN:9781118431221
Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:WILEY