The physician orders 12.5 mg/1 kg. The patient's weight is 100 kg. How much medication should you give? Show all work using dimensional analysis
To calculate the amount of medication to give using dimensional analysis, we will set up a conversion factor:
12.5 mg : 1 kg
To convert from kilograms (kg) to mg, we know that 1 kg is equal to 1000 g, and 1 g is equal to 1000 mg:
1 kg : 1000 g : 1000 mg
Therefore, our conversion factor will be:
12.5 mg : 1 kg : 1000 g : 1000 mg
Now we can set up our dimensional analysis equation:
(12.5 mg / 1 kg) * (100 kg / 1) * (1 kg / 1000 g) * (1 g / 1000 mg)
Starting with the given weight of the patient:
(12.5 mg / 1 kg) * (100 kg / 1) * (1 kg / 1000 g) * (1 g / 1000 mg) = 12.5 * 100 * 1 * 1 / 1 * 1000 * 1000
Calculating this equation gives:
= 0.125 mg
Therefore, you should give 0.125 mg of medication to the patient.
To determine how much medication to give, we can use dimensional analysis.
Step 1: Write down the given information and what you're trying to find:
Given: 12.5 mg/1 kg (medication dosage)
Given: 100 kg (patient's weight)
To find: Amount of medication to give
Step 2: Set up the dimensional analysis equation, with units cancelling out correctly:
12.5 mg/1 kg × 100 kg
Step 3: Cancel out the kg units:
12.5 mg/1 × 100 kg
Step 4: Multiply the numbers across:
= 12.5 × 100 mg
Step 5: Perform the multiplication:
= 1250 mg
So, you should give 1250 mg of medication to the patient.