Chemistry & Chemical Reactivity
9th Edition
ISBN: 9781133949640
Author: John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher: Cengage Learning
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Based on the plot, what [Fe(SCN)2+] would the student report for a solution that has an absorbance of 0.540 at 510 nm?
[Fe(SCN)2+] =
Transcribed Image Text:**Graph Title: Relationship Between Absorbance and Concentration**
**Graph Description:**
This graph illustrates the relationship between absorbance and concentration for a given solution.
- **X-Axis (Horizontal Axis):** The x-axis represents the concentration of the solution in Molarity (M), ranging from 0 M to 4.5E-05 M.
- **Y-Axis (Vertical Axis):** The y-axis represents the absorbance, ranging from 0.0 to 0.7.
**Data Points and Trendline:**
- There are four data points plotted on the graph, denoted by small blue dots.
- A linear trendline has been fitted to the data points, represented by a solid black line.
**Equation and R-squared Value:**
- The equation of the line is provided as \( y = 15927x \), where \( y \) is the absorbance and \( x \) is the concentration. This equation represents the best-fit line through the data points.
- The R-squared (R²) value is \( 0.9991 \), which indicates a very high degree of correlation between the concentration and the absorbance. An R² value close to 1 suggests that the model explains nearly all of the variability of the response data around its mean.
**Interpretation:**
- The directly proportional relationship suggests that as the concentration of the solution increases, the absorbance also increases.
- The high R² value indicates that the linear model is an excellent fit for the data, showing a strong positive correlation.
This graph is typically used in experiments involving Beer's Law, which states that absorbance is directly proportional to concentration for a given path length and molar absorptivity.
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