Question

. A prescription calls for 5mg/​kg for a patient who weighs 110lb. If you have 10mg/​5ml solution available in the pharmacy, how many ml should you dispense for this order?*(required)

Answer 1

To determine the amount of solution to dispense, we can follow these steps:

1. **Convert the patient's weight from pounds to kilograms**:
\[
1 \text{ lb} = 0.453592 \text{ kg}
\]
\[
110 \text{ lb} \times 0.453592 \text{ kg/lb} \approx 49.895 \text{ kg}
\]
For simplicity, we can round this to 50 kg.

2. **Calculate the total dose required in mg**:
The prescription calls for 5 mg/kg.
\[
\text{Total Dose} = 5 \text{ mg/kg} \times 50 \text{ kg} = 250 \text{ mg}
\]

3. **Determine the volume of the solution needed**:
The available solution is 10 mg in 5 mL. To find out how many mL are needed for 250 mg:
\[
\text{Concentration of solution} = \frac{10 \text{ mg}}{5 \text{ mL}} = 2 \text{ mg/mL}
\]

Now, we can set up the equation to find out how many mL are needed for 250 mg:
\[
\text{Volume} = \frac{\text{Total Dose}}{\text{Concentration}}
\]
\[
\text{Volume} = \frac{250 \text{ mg}}{2 \text{ mg/mL}} = 125 \text{ mL}
\]

So, you should dispense **125 mL** of the solution for this order.