QuestionJanet needs an IV medication at $2.0 \mu \mathrm{g} / \mathrm{kg} / \mathrm{min}$ . She weighs $115 \mathrm{lbs}$ . How many $\mathrm{mL} / \mathrm{hr}$ will you give her?

Studdy Solution

STEP 1

Assumptions1. Janet's weight is115 lbs. . The medication is to be administered at a rate of.0 μg medication/kg body weight/min.
3. The medication bag is supplied with a concentration of250 mg/250 mL.
4. We need to convert Janet's weight from lbs to kg, as the medication rate is given in kg.
5. We need to convert the medication rate from μg/min to mg/hr, as the medication bag concentration is given in mg and mL, and we need to find the rate in mL/hr.

STEP 2

First, we need to convert Janet's weight from lbs to kg. We can do this using the conversion factor1 kg =2.20462 lbs.
$Weight_{kg} = Weight_{lbs} /2.20462$

STEP 3

Now, plug in the given value for Janet's weight to calculate her weight in kg.
$Weight_{kg} =115\,lbs /2.20462$

STEP 4

Calculate Janet's weight in kg.
$Weight_{kg} =115\,lbs /2.20462 =52.16\,kg$

STEP 5

Next, we need to convert the medication rate from μg/min to mg/hr. We can do this using the conversion factors1 mg =1000 μg and1 hr =60 min.
$Medication\,rate_{mg/hr} = Medication\,rate_{μg/min} \times1\,mg/1000\,μg \times60\,min/1\,hr$

STEP 6

Now, plug in the given value for the medication rate to calculate the medication rate in mg/hr.
$Medication\,rate_{mg/hr} =2.0\,μg/kg/min \times1\,mg/1000\,μg \times60\,min/1\,hr$

STEP 7

Calculate the medication rate in mg/hr.
$Medication\,rate_{mg/hr} =2.0\,μg/kg/min \times1\,mg/1000\,μg \times60\,min/1\,hr =120\,mg/kg/hr$

STEP 8

Now that we have Janet's weight in kg and the medication rate in mg/hr, we can calculate the amount of medication she needs per hour in mg.
$Medication_{mg/hr} = Weight_{kg} \times Medication\,rate_{mg/hr}$

STEP 9

Plug in the values for Janet's weight and the medication rate to calculate the medication amount in mg/hr.
$Medication_{mg/hr} =52.16\,kg \times120\,mg/kg/hr$

STEP 10

Calculate the medication amount in mg/hr.
$Medication_{mg/hr} =52.16\,kg \times120\,mg/kg/hr =6259.2\,mg/hr$

STEP 11

Finally, we can calculate the volume of medication to be administered per hour in mL. We can do this using the concentration of the medication bag, which is250 mg/250 mL.
$Volume_{m/hr} = Medication_{mg/hr} / (250\,mg/250\,m)$

STEP 12

Plug in the value for the medication amount to calculate the volume in mL/hr.
$Volume_{m/hr} =6259.2\,mg/hr / (250\,mg/250\,m)$

STEP 13

Calculate the volume in mL/hr.
$Volume_{m/hr} =6259.2\,mg/hr / (250\,mg/250\,m) =6259.2\,m/hr$ You will administer6259.2 mL/hr to Janet when she returns.

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