A student collects absorbance versus concentration data for the thiocyanatoiron(III) complex at 510 nm and makes a Beer's law plot, which is shown below. 0.7 0.6 y = 15927x R? = 0.9991 0.5 0.4 0.3 0.2 0.1 0.00E+00 5.00E-06 1.00E-05 1.50E-05 2.00E-05 2.50E-05 3.00E-05 3.50E-05 4.00E-05 4.50E-05 Concentration (M) Based on the plot, what [Fe(SCN)**] would the student report for a solution that has an absorbance of 0.280 at 510 nm? [Fe(SCN)**] = O× 10 M Absorbance
A student collects absorbance versus concentration data for the thiocyanatoiron(III) complex at 510 nm and makes a Beer's law plot, which is shown below. 0.7 0.6 y = 15927x R? = 0.9991 0.5 0.4 0.3 0.2 0.1 0.00E+00 5.00E-06 1.00E-05 1.50E-05 2.00E-05 2.50E-05 3.00E-05 3.50E-05 4.00E-05 4.50E-05 Concentration (M) Based on the plot, what [Fe(SCN)**] would the student report for a solution that has an absorbance of 0.280 at 510 nm? [Fe(SCN)**] = O× 10 M Absorbance
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![## Description and Analysis of the Beer’s Law Plot
A student collects absorbance versus concentration data for the thiocyanatoiron(III) complex at 510 nm and constructs a Beer’s Law plot.
### Graph Explanation
- **Axes**:
- The x-axis represents the concentration (M) of the thiocyanatoiron(III) complex.
- The y-axis represents the absorbance.
- **Trend Line**:
- The plot shows a straight line that fits the data points.
- The equation of the line is \( y = 15927x \).
- The \( R^2 \) value is 0.9991, indicating an excellent fit with the data.
### Calculation Task
For a solution with an absorbance of 0.280 at 510 nm, determine the concentration of \([ \text{Fe(SCN)}^{2+} ]\).
Using the equation of the line:
\[
y = 15927x
\]
Substitute \( y = 0.280 \):
\[
0.280 = 15927x
\]
Solving for \( x \) (the concentration):
\[
x = \frac{0.280}{15927}
\]
\[
x \approx 1.76 \times 10^{-5} \, \text{M}
\]
Therefore, \([ \text{Fe(SCN)}^{2+} ] = 1.76 \times 10^{-5} \, \text{M}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F59e0cade-3bd6-4644-90ec-db8372e4edaa%2F9828e12e-b874-4aa8-a792-9bb1654a6906%2Fi6qn6h6_processed.png&w=3840&q=75)
Transcribed Image Text:## Description and Analysis of the Beer’s Law Plot
A student collects absorbance versus concentration data for the thiocyanatoiron(III) complex at 510 nm and constructs a Beer’s Law plot.
### Graph Explanation
- **Axes**:
- The x-axis represents the concentration (M) of the thiocyanatoiron(III) complex.
- The y-axis represents the absorbance.
- **Trend Line**:
- The plot shows a straight line that fits the data points.
- The equation of the line is \( y = 15927x \).
- The \( R^2 \) value is 0.9991, indicating an excellent fit with the data.
### Calculation Task
For a solution with an absorbance of 0.280 at 510 nm, determine the concentration of \([ \text{Fe(SCN)}^{2+} ]\).
Using the equation of the line:
\[
y = 15927x
\]
Substitute \( y = 0.280 \):
\[
0.280 = 15927x
\]
Solving for \( x \) (the concentration):
\[
x = \frac{0.280}{15927}
\]
\[
x \approx 1.76 \times 10^{-5} \, \text{M}
\]
Therefore, \([ \text{Fe(SCN)}^{2+} ] = 1.76 \times 10^{-5} \, \text{M}\).
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