Sure, let's solve the problem step-by-step:
1. Understand the given data:
- Dosage of ampicillin: 1.4 grams per hour.
- Concentration of the ampicillin solution: 100 milligrams per milliliter.
2. Convert the dosage from grams to milligrams:
- Since 1 gram = 1000 milligrams, therefore 1.4 grams = 1.4 × 1000 milligrams = 1400 milligrams per hour.
3. Calculate the flow rate in mL per hour:
- We know that the concentration of the solution is 100 milligrams per milliliter.
- To find out how many milliliters of the solution are needed per hour, divide the total dosage (in milligrams) by the concentration (in milligrams per milliliter):
[tex]\[
\text{Flow rate in mL/hr} = \frac{\text{Dosage in mg/hr}}{\text{Concentration in mg/mL}} = \frac{1400 \, \text{mg/hr}}{100 \, \text{mg/mL}} = 14 \, \text{mL/hr}
\][/tex]
4. Double-check the provided options to find the correct flow rate:
- 140 mL/hr
- 44 mL/min
- 0.14 mL/min
- 14 mL/hr
From our calculation, the correct flow rate is 14 mL/hr.
Therefore, the flow rate for the given prescription is 14 mL/hr.
