Question
A patient is prescribed 80 mg of Tramadol Hydrochloride injection. The stock dose is 50mg / 2 mL. What volume will you require?
Prescription
_________ x ml = ?
Stock
Prescription
_________ x ml = ?
Stock
Answers
GPT-4o mini
To determine the volume of the stock solution needed to administer 80 mg of Tramadol Hydrochloride, we can set up a proportion based on the information provided.
**Stock dose**: 50 mg / 2 mL
First, let's find out how many mg are in 1 mL of the stock solution:
\[
\frac{50 \text{ mg}}{2 \text{ mL}} = 25 \text{ mg/mL}
\]
Next, we can set up the equation to find the volume (in mL) needed to deliver 80 mg:
Let \( x \) be the volume in mL that we need to find.
Using the formula:
\[
\text{Dose Required (mg)} = \text{Concentration (mg/mL)} \times \text{Volume (mL)}
\]
We have:
\[
80 \text{ mg} = 25 \text{ mg/mL} \times x \text{ mL}
\]
Now, solve for \( x \):
\[
x = \frac{80 \text{ mg}}{25 \text{ mg/mL}} = 3.2 \text{ mL}
\]
Thus, you will require **3.2 mL** of the stock solution to administer 80 mg of Tramadol Hydrochloride.
Prescription:
\[
3.2 \text{ mL} = ? \text{ mL (Stock)}
\]
**Stock dose**: 50 mg / 2 mL
First, let's find out how many mg are in 1 mL of the stock solution:
\[
\frac{50 \text{ mg}}{2 \text{ mL}} = 25 \text{ mg/mL}
\]
Next, we can set up the equation to find the volume (in mL) needed to deliver 80 mg:
Let \( x \) be the volume in mL that we need to find.
Using the formula:
\[
\text{Dose Required (mg)} = \text{Concentration (mg/mL)} \times \text{Volume (mL)}
\]
We have:
\[
80 \text{ mg} = 25 \text{ mg/mL} \times x \text{ mL}
\]
Now, solve for \( x \):
\[
x = \frac{80 \text{ mg}}{25 \text{ mg/mL}} = 3.2 \text{ mL}
\]
Thus, you will require **3.2 mL** of the stock solution to administer 80 mg of Tramadol Hydrochloride.
Prescription:
\[
3.2 \text{ mL} = ? \text{ mL (Stock)}
\]