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Let's work through this problem step-by-step.

The prescription specifies **1.5% Hydrocortisone in Cold Cream, qs 30 g**, which means the final preparation should weigh 30 grams, and Hydrocortisone should make up 1.5% of this weight.

### Step 1: Calculate the required amount of Hydrocortisone
1.5% of 30 g = \( \frac{1.5}{100} \times 30 = 0.45 \) grams (or 450 mg).

Thus, the pharmacist needs **450 mg of Hydrocortisone**.

### Step 2: Determine the volume of Hydrocortisone injection needed
The injection solution contains **100 mg of Hydrocortisone per mL**. To get 450 mg, the pharmacist would need:
\[
\frac{450 \text{ mg}}{100 \text{ mg/mL}} = 4.5 \text{ mL}
\]
So, **4.5 mL of the injection** would provide the required 450 mg of Hydrocortisone.

### Step 3: Confirm the amount of Cold Cream required
Since the final mixture is 30 g and we are adding 4.5 mL of the injection (which has a specific gravity of 1.5), we need to convert this volume to weight:
\[
4.5 \text{ mL} \times 1.5 = 6.75 \text{ g}
\]
Thus, the Cold Cream required would be:
\[
30 \text{ g} - 6.75 \text{ g} = 23.25 \text{ g}
\]
So, **23.25 grams of Cold Cream** are needed.

### Summary of answers:
a. **450 mg** of Hydrocortisone.
b. **4.5 mL** of Hydrocortisone injection.
c. **23.25 grams** of Cold Cream.

Would you like further details on any of these steps or have additional questions?

---

1. How is the specific gravity used in pharmacy calculations?
2. Why does the pharmacist need to adjust the amount of Cold Cream based on the injection's weight?
3. How would the calculations change if the Hydrocortisone concentration was different?
4. What is the purpose of the "qs" notation in prescriptions?
5. How could the pharmacist make this compound if they only had powder Hydrocortisone?

**Tip:** Always verify the concentration and units when converting between different forms (e.g., mg to mL), as misinterpretation can affect accuracy in compounding.

A pharmacist receives a prescription for Hydrocortisone 1.5% in Cold Cream qs 30 g and needs to determine how to use an injection solution containing 100 mg of Hydrocortisone per mL (specific gravity 1.5) to fill the prescription.

Step-by-step solution for pharmacy students on how to prepare a 1.5% Hydrocortisone cream using an injection with a specific gravity of 1.5 and concentration of 100 mg/mL. This problem covers percentage and density calculations required in pharmaceutical compounding.

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