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

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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} =
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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