Chemistry: Principles and Practice
3rd Edition
ISBN: 9780534420123
Author: Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher: Cengage Learning
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The transmitance is 14.4%
![### Yellow Dye Calibration Curve
**Description:**
The graph represents the calibration curve for yellow dye, plotting absorbance against concentration in molarity (M).
**Axes:**
- **X-Axis:** Concentration (M), ranging from 0 to 0.012.
- **Y-Axis:** Absorbance, ranging from 0 to 3.
**Data Points:**
The graph includes five data points at concentrations of approximately 0.001, 0.0035, 0.005, 0.007, and 0.0105 M, showing a linear relationship between concentration and absorbance.
**Trend Line:**
A linear trend line is fitted to the data points, represented by the equation:
\[ y = 254.78x - 0.1414 \]
- **Slope:** 254.78
- **Y-intercept:** -0.1414
**Coefficient of Determination (R²):**
- The R² value is 0.9792, indicating a strong linear correlation between concentration and absorbance.
This calibration curve is typically used to determine the concentration of yellow dye in an unknown solution by measuring its absorbance and applying the linear equation.](https://content.bartleby.com/qna-images/question/688553c1-a29d-4d73-a765-adb59e2cd2b6/d576a455-7a81-4542-a5c8-b6038690d0d0/0bb26s6_processed.png)
Transcribed Image Text:### Yellow Dye Calibration Curve
**Description:**
The graph represents the calibration curve for yellow dye, plotting absorbance against concentration in molarity (M).
**Axes:**
- **X-Axis:** Concentration (M), ranging from 0 to 0.012.
- **Y-Axis:** Absorbance, ranging from 0 to 3.
**Data Points:**
The graph includes five data points at concentrations of approximately 0.001, 0.0035, 0.005, 0.007, and 0.0105 M, showing a linear relationship between concentration and absorbance.
**Trend Line:**
A linear trend line is fitted to the data points, represented by the equation:
\[ y = 254.78x - 0.1414 \]
- **Slope:** 254.78
- **Y-intercept:** -0.1414
**Coefficient of Determination (R²):**
- The R² value is 0.9792, indicating a strong linear correlation between concentration and absorbance.
This calibration curve is typically used to determine the concentration of yellow dye in an unknown solution by measuring its absorbance and applying the linear equation.
Transcribed Image Text:3. **Unknown Solution Concentration**: From the calibration curve, determine the molarity of your unknown solution, not by interpolation on the graph but algebraically from the computer-generated *m* value in the equation for a straight line, \( y = mx + b \). If *b* equals zero, then \( y = mx \), where *m* is the slope of the line, *x* is the solution concentration, and *y* is the measured absorbance. Since the molar absorptivity \( \varepsilon \) and the path length are constants, this equation is consistent with Beer’s law \( A = \varepsilon bc \) which becomes \( A = mc \).
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