Chloral hydrate, a sedative and sleep-inducing drug, is available as a solution labeled 10.0 g /fluidram.  What volume in milliliters should be administered to a patient who is meant to receive 7.5 gr per dose? (1
gr = 64.8 mg; 1 fluidram = 3.72 ml)
Express your answer using two significant figures.

To solve this problem, let's follow these steps:

### Step 1: Convert the dose from grains to milligrams.
Given:
- 1 grain (gr) = 64.8 mg

The dose required is 7.5 grains:
\[
7.5 \text{ gr} \times 64.8 \text{ mg/gr} = 486 \text{ mg}
\]

### Step 2: Determine the concentration in mg/mL.
Given:
- The solution concentration is 10.0 g/fluidram.
- 1 fluidram = 3.72 mL.

First, convert the concentration to mg/mL:
\[
10.0 \text{ g/fluidram} = 10.0 \times 1000 \text{ mg/fluidram} = 10,000 \text{ mg/fluidram}
\]
\[
\text{Concentration in mg/mL} = \frac{10,000 \text{ mg/fluidram}}{3.72 \text{ mL}} \approx 2688.17 \text{ mg/mL}
\]

### Step 3: Calculate the required volume in mL.
We need to administer 486 mg. Using the concentration calculated:
\[
\text{Volume in mL} = \frac{486 \text{ mg}}{2688.17 \text{ mg/mL}} \approx 0.181 \text{ mL}
\]

### Step 4: Express the answer to two significant figures.
\[
\text{Volume} \approx 0.18 \text{ mL}
\]

Thus, **0.18 mL** should be administered to the patient.

Would you like more details or have any questions?

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Here are 5 related questions:
1. How would you convert between different units of volume in a pharmacy setting?
2. What factors could influence the required dose of chloral hydrate?
3. How would you convert between fluid ounces and milliliters?
4. Why is it important to use the correct number of significant figures in medical dosages?
5. What are some potential risks of administering the wrong dose of a sedative?

**Tip:** Always double-check unit conversions when calculating dosages to ensure patient safety.

Learn how to calculate the dosage of chloral hydrate in milliliters based on given grain measurements. Includes step-by-step solution using unit conversion and concentration calculations. Suitable for high school students studying pharmacy calculations.

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