The initial reaction rate for the elementary reaction 2A + B-4C Was measured as a function of temperature when the concentration of A was 6 mol/L and the concentration of B was 3 mol/L. The data is given below: -TA (mol/L s): 0.0040 T (K): 600 0.0800 680 From the data, do the following: A) Plot In(k) vs. 1/T to create the Arrhenius plot 1.2000 760 16.00 840

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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plz do via excel & label x & y axis deteremine slope,intercept, R^2

The initial reaction rate for the elementary reaction:

\[ 2A + B \rightarrow 4C \]

was measured as a function of temperature when the concentration of A was 6 mol/L and the concentration of B was 3 mol/L.

The data is given below:

\[
\begin{array}{|c|c|c|c|c|}
\hline
-r_A \, (\text{mol/L} \cdot \text{s}) & 0.0040 & 0.0800 & 1.2000 & 16.00 \\
\hline
T \, (K) & 600 & 680 & 760 & 840 \\
\hline
\end{array}
\]

From the data, do the following:

(A) Plot \(\ln(k)\) vs. \(1/T\) to create the Arrhenius plot.
Transcribed Image Text:The initial reaction rate for the elementary reaction: \[ 2A + B \rightarrow 4C \] was measured as a function of temperature when the concentration of A was 6 mol/L and the concentration of B was 3 mol/L. The data is given below: \[ \begin{array}{|c|c|c|c|c|} \hline -r_A \, (\text{mol/L} \cdot \text{s}) & 0.0040 & 0.0800 & 1.2000 & 16.00 \\ \hline T \, (K) & 600 & 680 & 760 & 840 \\ \hline \end{array} \] From the data, do the following: (A) Plot \(\ln(k)\) vs. \(1/T\) to create the Arrhenius plot.
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can you plz re-do

i am trying to copy in excel & i am getting some different trendline, r^2, & intercept

can you plz re-do your excel and please select to show the trendline and show it 

**Data Table:**

| (-rA)  | -0.004 | 0.0800 | 1.2000 | 16.00  |
|--------|--------|--------|--------|--------|
| T(K)   | 600    | 680    | 760    | 840    |
| ln(K)  | -10.203| -7.207 | -4.499 | -1.909 |
| 1/T    | 0.00166| 0.00147| 0.00131| 0.00119|

**Converted Data for Plot:**

| 1/T (X-axis) | ln(K) (Y-axis) |
|--------------|----------------|
| 0.00166      | -10.203        |
| 0.00147      | -7.207         |
| 0.00131      | -4.499         |
| 0.00119      | -1.909         |

**Graph Explanation:**

- **Type:** Scatter Plot
- **X-Axis:** Represents the values of 1/T.
- **Y-Axis:** Represents the natural logarithm of K, ln(K).
- **Trendline Equation:** y = -0.0002x
  - Indicates a linear relationship with a negative slope.
- **R² Value:** 0.8789
  - Suggests a strong correlation between 1/T and ln(K).
- **Data Points:** Four points plotted according to the values in the converted data table.
- **Trendline:** A linear trendline is drawn through the data points with dotted lines indicating the fit.

This graphical representation is typically used in kinetic studies to determine reaction rates and understand temperature dependence of a reaction, often applying the Arrhenius equation.
Transcribed Image Text:**Data Table:** | (-rA) | -0.004 | 0.0800 | 1.2000 | 16.00 | |--------|--------|--------|--------|--------| | T(K) | 600 | 680 | 760 | 840 | | ln(K) | -10.203| -7.207 | -4.499 | -1.909 | | 1/T | 0.00166| 0.00147| 0.00131| 0.00119| **Converted Data for Plot:** | 1/T (X-axis) | ln(K) (Y-axis) | |--------------|----------------| | 0.00166 | -10.203 | | 0.00147 | -7.207 | | 0.00131 | -4.499 | | 0.00119 | -1.909 | **Graph Explanation:** - **Type:** Scatter Plot - **X-Axis:** Represents the values of 1/T. - **Y-Axis:** Represents the natural logarithm of K, ln(K). - **Trendline Equation:** y = -0.0002x - Indicates a linear relationship with a negative slope. - **R² Value:** 0.8789 - Suggests a strong correlation between 1/T and ln(K). - **Data Points:** Four points plotted according to the values in the converted data table. - **Trendline:** A linear trendline is drawn through the data points with dotted lines indicating the fit. This graphical representation is typically used in kinetic studies to determine reaction rates and understand temperature dependence of a reaction, often applying the Arrhenius equation.
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Follow-up Question

can you plz re-do

i am trying to copy in excel & i am getting some different trendline, r^2, & intercept

can you plz re-do your excel and please select to show the trendline and show it 

### Transcription for Educational Use

#### Data Table

- **(-rA):** Reaction rate values
  - -0.004
  - 0.0800
  - 1.2000
  - 16.00

- **T (K):** Temperature in Kelvin
  - 600
  - 680
  - 760
  - 840

- **ln(K):** Natural logarithm of the rate constant (K)
  - -10.203
  - -7.207
  - -4.449
  - -1.909

- **1/T:** Reciprocal of temperature
  - 0.00166
  - 0.00147
  - 0.00131
  - 0.00119

#### Additional Data for Graph

- **1/T-X axis:** Series used for plotting data on the X-axis
  - 0.00166
  - 0.00147
  - 0.00131
  - 0.00119

- **ln(k)-Y axis:** Series used for plotting data on the Y-axis
  - -10.203
  - -7.207
  - -4.449
  - -1.909

#### Graph Description

- **Chart Title:** Not specified

- **Axes:** 
  - X-Axis represents the reciprocal of temperature (1/T).
  - Y-Axis represents the natural logarithm of the rate constant (ln(K)).

- **Data Points:** 
  - Represented by blue dots on the graph; four points are plotted corresponding to the given 1/T and ln(K) values.

- **Trendline:**
  - A linear trendline is displayed crossing the data points.
  - Equation: \( y = -0.0002x \)
  - \( R^2 \) value: 0.8789, indicating the fit quality of the trendline to the data points.

This data and graph likely represent an Arrhenius plot used to analyze the temperature dependence of reaction rates.
Transcribed Image Text:### Transcription for Educational Use #### Data Table - **(-rA):** Reaction rate values - -0.004 - 0.0800 - 1.2000 - 16.00 - **T (K):** Temperature in Kelvin - 600 - 680 - 760 - 840 - **ln(K):** Natural logarithm of the rate constant (K) - -10.203 - -7.207 - -4.449 - -1.909 - **1/T:** Reciprocal of temperature - 0.00166 - 0.00147 - 0.00131 - 0.00119 #### Additional Data for Graph - **1/T-X axis:** Series used for plotting data on the X-axis - 0.00166 - 0.00147 - 0.00131 - 0.00119 - **ln(k)-Y axis:** Series used for plotting data on the Y-axis - -10.203 - -7.207 - -4.449 - -1.909 #### Graph Description - **Chart Title:** Not specified - **Axes:** - X-Axis represents the reciprocal of temperature (1/T). - Y-Axis represents the natural logarithm of the rate constant (ln(K)). - **Data Points:** - Represented by blue dots on the graph; four points are plotted corresponding to the given 1/T and ln(K) values. - **Trendline:** - A linear trendline is displayed crossing the data points. - Equation: \( y = -0.0002x \) - \( R^2 \) value: 0.8789, indicating the fit quality of the trendline to the data points. This data and graph likely represent an Arrhenius plot used to analyze the temperature dependence of reaction rates.
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