The patient's weight is 100 kg. You are to give 5 mg/kg of cough medicine. How many mg of cough medicine should you give? Show all work using dimensional analysis
To calculate how many mg of cough medicine should be given, we will use dimensional analysis.
The given information is:
- The patient's weight is 100 kg
- The dosage is 5 mg per kg
We are trying to find out how many mg of cough medicine should be given.
We can set up the conversion factors as follows:
1 kg = 1000 g (since there are 1000 grams in 1 kilogram)
1 g = 1000 mg (since there are 1000 milligrams in 1 gram)
Using the conversion factors, we can set up the dimensional analysis:
(5 mg / 1 kg) * (100 kg) = 500 mg
Therefore, you should give 500 mg of cough medicine.
To calculate the amount of cough medicine in milligrams (mg) that should be given to the patient weighing 100 kg, we will use dimensional analysis.
Given:
Patient's weight = 100 kg
Cough medicine dosage = 5 mg/kg
We will set up the calculation as follows:
(100 kg) x (5 mg/1 kg)
First, we convert the units to mg by multiplying the patient's weight (100 kg) by the conversion factor (5 mg/1 kg).
(100 kg) x (5 mg/1 kg) = 500 mg
Therefore, you should give 500 mg of cough medicine to the patient weighing 100 kg.