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Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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I need help finding the rate law for each graph. The first graph is in order zero, the middle is in order first and the last is in order second.

Transcribed Image Text:### Analysis of Absorbance vs Time in a Chemical Reaction
This image showcases three different graphical analyses of absorbance (Abs) against time, as part of a kinetic study in a chemical reaction. Each graph provides insights into the reaction order and helps to understand the relationship between absorbance and time.
#### Graph 1: Abs vs Time Trial 1
- **Description**: This graph plots direct absorbance against time.
- **Equation**: The line of best fit is provided by the equation \( y = -0.0012x + 0.3231 \).
- **R-squared Value**: \( R^2 = 0.9771 \), indicating a strong linear correlation.
- **Interpretation**: The negative slope suggests a decrease in absorbance over time.
#### Graph 2: Ln(Abs) vs Time Trial 1
- **Description**: This plot presents the natural logarithm of absorbance against time.
- **Equation**: The linear relationship is described by \( y = -0.0095x - 1.0624 \).
- **R-squared Value**: \( R^2 = 0.9993 \), showing an excellent fit.
- **Interpretation**: The ln(absorbance) plot suggests a first-order reaction, given the strong linearity and the high R-squared value.
#### Graph 3: 1/Abs vs Time Trial 1
- **Description**: Here, the inverse of absorbance is plotted against time.
- **Equation**: The best fit line is represented by \( y = 0.0297x + 2.4262 \).
- **R-squared Value**: \( R^2 = 0.989 \), also indicating a strong linear fit.
- **Interpretation**: This graph suggests a second-order reaction based on the linearity observed when plotting 1/absorbance.
### Conclusion
The analysis of these graphs supports kinetic modeling of the reaction. The Ln(Abs) vs Time graph, with its highly linear fit, suggests a first-order reaction. This detailed graphical analysis aids in understanding underlying reaction dynamics and is essential for predicting reaction behavior over time.
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