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+] =

Chemistry & Chemical Reactivity
9th Edition
ISBN:9781133949640
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter4: Stoichiometry: Quantitative Information About Chemical Reactions
Section4.8: Stoichiometry Of Reactions In Aqueous Solution-titrations
Problem 2RC
icon
Related questions
Question

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+] = 

 

 

 

**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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Spectroanalytical Methods
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry & Chemical Reactivity
Chemistry & Chemical Reactivity
Chemistry
ISBN:
9781133949640
Author:
John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:
Cengage Learning
Chemistry & Chemical Reactivity
Chemistry & Chemical Reactivity
Chemistry
ISBN:
9781337399074
Author:
John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:
Cengage Learning
Chemistry: Principles and Practice
Chemistry: Principles and Practice
Chemistry
ISBN:
9780534420123
Author:
Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:
Cengage Learning