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.
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
1 answer