Scenario: you have a very bad head-ache so you run to the pharmacy to grab some medicine and are immediately over-whelmed with your options. You decide to buy the cheapest option to cure your headache.
Excedrin is available as a 200 caplet bottle for $15.51 and each caplet contains 250- mg of acetaminophen (the active ingredient in Excedrin).
Advil is available as a 300 tablet bottle for $15.00 and each tablet contains 200-mg of Ibuprofen (the active ingredient in Advil).
Tylenol is available as a 225 pill bottle for $14.97 and each pill contains 500mg of a paracetamol (the active ingredient in Tylenol).
Acetaminophen is dosed as 240 mg per 35 pounds of body mass.
Ibuprofen is dosed at 113 mg per 25 pounds of body mass.
Paracetamol is dosed at 102mg per 15 pounds of body mass.
Active ingredient information:
Acetaminophen has the chemical formula: C8H9NO2
Ibuprofen has the chemical formula C13H18)2.
Paracetamol has the chemical formula C8H9NO2.
Calculate the cost of treating your own headache for each medicine based on your own body weight = 130 pounds.
Clearly write out and organize all the conversion factors, then write out the conversion for each medicine. Once you have concluded the cheapest option for curing your headache, calculate the cost per individual molecule of your pain reliever.
Please help me solve this and write all the conversion factors, and write out the conversion for each medicine. Thank you!
Based on the drug dosage provided, cheapest drug for treating headache is Tylenol at a cost of 3.34×10^-23 $/molecule.
What is a drug dosage?
A drug dosage is the amount of a drug taken by an individual that produces a therapeutic effect.
The dosage of each drug is given below:
- Acetaminophen is dosed as 240 mg per 35 pounds of body mass.
- Ibuprofen is dosed at 113 mg per 25 pounds of body mass.
- Paracetamol is dosed at 102mg per 15 pounds of body mass.
Amount of each drug required by individual is as follows:
Acetaminophen = 240 mg/35 × 130 = 891.43 mg
Ibuprofen = 113 mg/25 × 130= 587.6 mg
Paracetamol = 102mg/15 × 130 = 884 mg
Cost of drug per mg of active ingredient is as follows;
Excedrin = $15.51/(200 * 250 mg) = 0.0003102 $/mg
Advil = $15/(300 * 200mg) = 0.00025 $/mg
Tylenol = $14.97/(500mg × 225) = 0.000133 $/mg
Cost of each drug for treatment of headache:
Excedrin = 0.0003102 $/mg × 891.43 mg = $0.278
Advil = 0.00025 $/mg × 587.6 mg = $0.147
Tylenol = 0.000133 $/mg × 884 mg = $0.118
Thus, Tylenol is the cheapest drug for treating headache.
Molar mass of paracetamol = 151 g = 151000 g
There are 6.02 × 10^23 molecules in 151000 mg of paracetamol.
Cost per molecule = 0.000133 $/mg × (15000 mg/6.02 × 10^23)
Cost per molecule = 3.34 × 10^-23 $/molecule
Therefore, the cheapest drug for treating headache is Tylenol at a cost of 3.34×10^-23 $/molecule.
Learn more about drug dosage at: https://brainacademy.pro/question/24793154