To determine how much Demerol to administer, you can use the following formula:
\[ \text{Dose to administer} = \left(\frac{\text{Ordered dose}}{\text{Concentration on hand}}\right) \times \text{Volume on hand} \]
- Ordered Dose: 50 mg IM
- Concentration on Hand: 100 mg per 2 mL
First, let's find the concentration in mg per mL:
\[ \text{Concentration} = \frac{100 \text{ mg}}{2 \text{ mL}} = 50 \text{ mg/mL} \]
Now, we can use this concentration to find the volume to administer:
\[ \text{Volume to administer} = \frac{\text{Ordered dose}}{\text{Concentration}} = \frac{50 \text{ mg}}{50 \text{ mg/mL}} = 1 \text{ mL} \]
Thus, you should administer 1 mL of Demerol to provide the ordered dose of 50 mg.