In 1993 the Minnesota Department of Health set a health risk limit for beryllium in groundwater of 80.0 ng/L. Suppose an analytical chemist receives a sample of groundwater with a measured volume of 63.0 mL. Calculate the maximum mass in micrograms of beryllium which the chemist could measure in this sample and still certify that the groundwater from which it came met Minnesota Department of Health standards. Round your answer to 3 significant digits.

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**Groundwater Beryllium Risk Limit Calculation**

In 1993, the Minnesota Department of Health set a health risk limit for beryllium in groundwater at 80.0 ng/L.

**Problem:**

An analytical chemist receives a groundwater sample with a measured volume of 63.0 mL. Calculate the maximum mass in micrograms (µg) of beryllium that the chemist could measure in this sample while still ensuring the groundwater meets the Minnesota Department of Health standards.

**Solution Steps:**

1. **Convert the volume of groundwater from mL to L:**

   \[
   63.0 \, \text{mL} = 0.0630 \, \text{L}
   \]

2. **Use the risk limit to find the maximum mass of beryllium:**

   \[
   \text{Maximum mass} = 80.0 \, \text{ng/L} \times 0.0630 \, \text{L}
   \]

3. **Convert the result from nanograms (ng) to micrograms (µg):**

   \[
   1 \, \text{µg} = 1000 \, \text{ng}
   \]

4. **Calculate:**

   \[
   \text{Maximum mass in ng} = 80.0 \times 0.0630 = 5.04 \, \text{ng}
   \]

   \[
   \text{Maximum mass in µg} = \frac{5.04}{1000} = 0.00504 \, \text{µg}
   \]

**Answer:**

The maximum mass of beryllium is **0.00504 µg**, rounded to 3 significant digits.

**Interactive Component:**

- An input box is provided for entering the maximum mass in micrograms.
- There are options to reset or evaluate your answer.
Transcribed Image Text:**Groundwater Beryllium Risk Limit Calculation** In 1993, the Minnesota Department of Health set a health risk limit for beryllium in groundwater at 80.0 ng/L. **Problem:** An analytical chemist receives a groundwater sample with a measured volume of 63.0 mL. Calculate the maximum mass in micrograms (µg) of beryllium that the chemist could measure in this sample while still ensuring the groundwater meets the Minnesota Department of Health standards. **Solution Steps:** 1. **Convert the volume of groundwater from mL to L:** \[ 63.0 \, \text{mL} = 0.0630 \, \text{L} \] 2. **Use the risk limit to find the maximum mass of beryllium:** \[ \text{Maximum mass} = 80.0 \, \text{ng/L} \times 0.0630 \, \text{L} \] 3. **Convert the result from nanograms (ng) to micrograms (µg):** \[ 1 \, \text{µg} = 1000 \, \text{ng} \] 4. **Calculate:** \[ \text{Maximum mass in ng} = 80.0 \times 0.0630 = 5.04 \, \text{ng} \] \[ \text{Maximum mass in µg} = \frac{5.04}{1000} = 0.00504 \, \text{µg} \] **Answer:** The maximum mass of beryllium is **0.00504 µg**, rounded to 3 significant digits. **Interactive Component:** - An input box is provided for entering the maximum mass in micrograms. - There are options to reset or evaluate your answer.
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