A solution of D5W containing 25mg of a drug is to infuse over 30 minutes. The dosage range is 4-8 mg/kg/day and being given q6h. The child weighs 18.7 kg. We need to know the dosage range per day, daily dosage ordered, and assessment.
This is a problem that requires determining the safe dosage range in terms of mgs and then determining if a dose of 25 mg q6h is going to be within those safe parameters (that's the assessment part). This is how you solve this kind of problem. The information about the drug infusing over 30 minutes is extraneous information and not needed to solve the problem.
First, determine what the safe dosage range will be for a patient of weight 18.7kg. You need to find two figures because there is a range of 4mg to 8mg. So,:
4 mg/1 kg (lower end of safe dose per day) X 18.7 kg/1 (patient's weight) = 74.8 mg (lower end of safe dose per day for this patient)
8 mg/1 kg (higher end of safe dose per day) X 18.7 kg/1 (patient's weight) = 149.6 mg (higher end of safe dose per day for this patient)
So, the safe dosage range per day for this patient is 74.8 mg to 149.6 mg
Now, determine how much the patient is going to get in one day, or 24 hours:
25 mg (ordered) X 1 dose/6 hours (ordered intervals) X 24 hours/1 day (conversion factor) = 100 mg dose/1 day (total dose of medication patient will be receiving per day)Assessment:
Ask yourself, is 100 mg per day within the safe range of 74.8 mg to 149.6 mg? The answer is YES
About the only thing that will make this problem harder would be for the patient's weight to be given to you in pounds. In that case, you would have to convert the patient's weight to kg first in order to complete all the calculations.
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