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
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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, \([ \text{Fe(SCN)}^{2+} ] = 1.76 \times 10^{-5} \, \text{M}\).
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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