An analyst determines the Ct content of rain water with ion chromatography. The data for the calibration line in the range 5 to 50 milli equivalents per liter (mEq/L) is shown in the table below. Additionally, a blank sample was analysed 5 times and the following results obtained: 1.1, 0.5, 0.1, 0.9 and 1.2 ppm Ct Calculate the detection limit (DL) for the method with a 98.3% confidence level. Use ALL data and show equations. [CH] (mEq/L) Response 5 18.0 10 29.1 20 68.4 30 87.3 40 129.6 50 166.8
An analyst determines the Ct content of rain water with ion chromatography. The data for the calibration line in the range 5 to 50 milli equivalents per liter (mEq/L) is shown in the table below. Additionally, a blank sample was analysed 5 times and the following results obtained: 1.1, 0.5, 0.1, 0.9 and 1.2 ppm Ct Calculate the detection limit (DL) for the method with a 98.3% confidence level. Use ALL data and show equations. [CH] (mEq/L) Response 5 18.0 10 29.1 20 68.4 30 87.3 40 129.6 50 166.8
Chemistry
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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
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![**Determination of Cl⁻ Content in Rain Water Using Ion Chromatography**
An analyst determines the chloride ion (Cl⁻) content of rain water using ion chromatography. The data for the calibration line in the range 5 to 50 milliequivalents per liter (mEq/L) is shown in the table below. Additionally, a blank sample was analyzed 5 times with the following results obtained: 1.1, 0.5, 0.1, 0.9, and 1.2 ppm Cl⁻.
**Objective:**
Calculate the detection limit (DL) for the method with a 98.3% confidence level. Use all given data and show the equations.
**Calibration Data Table:**
| [Cl⁻] (mEq/L) | Response |
|---------------|----------|
| 5 | 18.0 |
| 10 | 29.1 |
| 20 | 68.4 |
| 30 | 87.3 |
| 40 | 129.6 |
| 50 | 166.8 |
**Steps to calculate the detection limit (DL):**
1. **Calculate the mean (average) and standard deviation of the blank sample measurements:**
- Mean (average) of blank sample amounts:
\[
\text{Mean} = \frac{1.1 + 0.5 + 0.1 + 0.9 + 1.2}{5} = \frac{3.8}{5} = 0.76
\]
- Standard deviation (s) of blank sample amounts:
\[
\text{Standard deviation} = \sqrt{\frac{\sum (x_i - \bar{x})^2}{n - 1}}
\]
Where \(x_i\) are individual measurements, \( \bar{x} \) is the mean, and \(n\) is the number of measurements (5 in this case).
2. **Determine the t-value for the 98.3% confidence level and 4 degrees of freedom:**
- Use the t-distribution table to find the t-value.
3. **Calculate the Detection Limit (DL):**
- Detection Limit (DL) can be calculated using the formula:
\[
\text{DL} =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F793b6aff-f148-4523-8250-7b38a941d7e6%2F6c74b896-9730-4d19-b721-08f151584c74%2Fib5fv4_processed.png&w=3840&q=75)
Transcribed Image Text:**Determination of Cl⁻ Content in Rain Water Using Ion Chromatography**
An analyst determines the chloride ion (Cl⁻) content of rain water using ion chromatography. The data for the calibration line in the range 5 to 50 milliequivalents per liter (mEq/L) is shown in the table below. Additionally, a blank sample was analyzed 5 times with the following results obtained: 1.1, 0.5, 0.1, 0.9, and 1.2 ppm Cl⁻.
**Objective:**
Calculate the detection limit (DL) for the method with a 98.3% confidence level. Use all given data and show the equations.
**Calibration Data Table:**
| [Cl⁻] (mEq/L) | Response |
|---------------|----------|
| 5 | 18.0 |
| 10 | 29.1 |
| 20 | 68.4 |
| 30 | 87.3 |
| 40 | 129.6 |
| 50 | 166.8 |
**Steps to calculate the detection limit (DL):**
1. **Calculate the mean (average) and standard deviation of the blank sample measurements:**
- Mean (average) of blank sample amounts:
\[
\text{Mean} = \frac{1.1 + 0.5 + 0.1 + 0.9 + 1.2}{5} = \frac{3.8}{5} = 0.76
\]
- Standard deviation (s) of blank sample amounts:
\[
\text{Standard deviation} = \sqrt{\frac{\sum (x_i - \bar{x})^2}{n - 1}}
\]
Where \(x_i\) are individual measurements, \( \bar{x} \) is the mean, and \(n\) is the number of measurements (5 in this case).
2. **Determine the t-value for the 98.3% confidence level and 4 degrees of freedom:**
- Use the t-distribution table to find the t-value.
3. **Calculate the Detection Limit (DL):**
- Detection Limit (DL) can be calculated using the formula:
\[
\text{DL} =
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