Question
A stock solution contains 0.1g of atropine sulfate in 50ml. How many milliliters of the solution would be needed to prepare a prescription requiring 4mg of atropine sulfate?*(required)
Answers
GPT-4o mini
To determine how many milliliters of the stock solution containing 0.1 g of atropine sulfate is needed to prepare a prescription requiring 4 mg, we can follow these steps:
1. **Convert the stock solution concentration to milligrams per milliliter**:
- The stock solution has 0.1 g of atropine sulfate in 50 mL.
- Convert grams to milligrams: \(0.1 \, \text{g} = 100 \, \text{mg}\).
- Concentration in the stock solution:
\[
\frac{100 \, \text{mg}}{50 \, \text{mL}} = 2 \, \text{mg/mL}
\]
2. **Determine how many milliliters are needed for 4 mg**:
- Use the concentration to find the volume needed:
\[
\text{Volume} = \frac{\text{Amount needed}}{\text{Concentration}} = \frac{4 \, \text{mg}}{2 \, \text{mg/mL}} = 2 \, \text{mL}
\]
Therefore, **2 mL of the stock solution** is needed to prepare a prescription requiring 4 mg of atropine sulfate.
1. **Convert the stock solution concentration to milligrams per milliliter**:
- The stock solution has 0.1 g of atropine sulfate in 50 mL.
- Convert grams to milligrams: \(0.1 \, \text{g} = 100 \, \text{mg}\).
- Concentration in the stock solution:
\[
\frac{100 \, \text{mg}}{50 \, \text{mL}} = 2 \, \text{mg/mL}
\]
2. **Determine how many milliliters are needed for 4 mg**:
- Use the concentration to find the volume needed:
\[
\text{Volume} = \frac{\text{Amount needed}}{\text{Concentration}} = \frac{4 \, \text{mg}}{2 \, \text{mg/mL}} = 2 \, \text{mL}
\]
Therefore, **2 mL of the stock solution** is needed to prepare a prescription requiring 4 mg of atropine sulfate.