Final answer:
To find the flow rate in ml/hr for the given situation, we need to convert the rate of infusion from mg/min to ml/hr. This requires setting up a proportion and multiplying by a conversion factor.
Step-by-step explanation:
To calculate the flow rate in ml/hr, we need to convert the time from minutes to hours. We are given that 400mg is to be infused over 45 minutes, so we divide 400 by 45 to get the rate of infusion in mg/min. Next, we need to convert mg to ml. Since we have 400mg in 100ml, we can set up a proportion to find out how many ml are in 1mg. Finally, we multiply the rate of infusion in mg/min by the conversion factor we found to get the flow rate in ml/hr.
Rate of infusion in mg/min: 400mg / 45min = 8.8889mg/min
Conversion factor: 1mg / 400ml = 0.0025ml/mg
Flow rate in ml/hr: 8.8889mg/min * 0.0025ml/mg * 60min/hr = 1.33ml/hr