To calculate the flow rate in milliliters per hour (mL/hr) for 3 liters (L) of D5W (Dextrose 5% in Water) being delivered over 24 hours, follow these steps:
1. Convert the volume from liters to milliliters:
- We know that 1 liter is equivalent to 1000 milliliters.
- Therefore, 3 liters is [tex]\(3 \times 1000 = 3000\)[/tex] milliliters (mL).
2. Determine the total time in hours:
- The solution is to be administered over 24 hours.
3. Calculate the flow rate:
- The flow rate is defined as the volume of the liquid divided by the time over which it is to be delivered.
- Here, the flow rate [tex]\( \text{(in mL/hr)} \)[/tex] can be calculated as follows:
[tex]\[
\text{Flow rate} = \frac{\text{Total Volume (in mL)}}{\text{Total Time (in hours)}}
\][/tex]
- Plugging in the given values:
[tex]\[
\text{Flow rate} = \frac{3000 \text{ mL}}{24 \text{ hr}}
\][/tex]
4. Perform the division:
- Dividing 3000 mL by 24 hr gives us:
[tex]\[
\text{Flow rate} = \frac{3000}{24} = 125 \text{ mL/hr}
\][/tex]
Therefore, the flow rate for delivering 3 liters of D5W over 24 hours is 125 mL/hr.
