(a) Find the number of molecules of pain reliever in the standard dose of Tyleno

Question

(a) Find the number of molecules of pain reliever in the standard dose of Tylenol.

(b) Find the number of molecules of pain reliever in the standard dose of Advil.

Manufacturers of headache remedies routinely claim that their own brands are more potent pain relievers than the competing brands. Their way of making the comparison is to compare the number of molecules in the standard dosage. Tylenol uses 3.06 times 102 mg of acetaminophen (C8H9NO2) as the standard dose, while Advil uses 2.20 times 102 mg of ibuprofen (C13H18O2). Find the number of molecules of pain reliever in the standard dose of Tylenol. Find the number of molecules of pain reliever in the standard dose of Advil.

Explanation / Answer

mass of tylenol = 306mg

molar weight of tylenol = 151.16 g/mol

number of moles is

n = m/M =306*10^-3/151.16 = 2.02*10^-3 mol

number of molecules = 2.02*10^3 *6.023*10^23 = 12.19 *10^20 molecules

b)

mass of advil = 220mg

molar weight of advil = 206.28 g/mol

number of moles is

n = m/M =220*10^-3/206.28 = 1.066*10^-3 mol

number of molecules = 1.066*10^3 *6.023*10^23 = 6.42 *10^20 molecules

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