Question

Be sure to answer all parts. A bottle of the pain reliever ibuprofen (C₁3H₁8O₂, molar mass 206.3 g/mol) has 50 tablets. Each tablet contains 100. mg of ibuprofen.

(a) How many moles of ibuprofen does the bottle contain?
(b) How many molecules of ibuprofen does the bottle contain?
(a) 0.024 mol ibuprofen
(b) 1.4 × 10 molecules ibuprofen

Answer 1

The bottle contains 0.024 moles of ibuprofen and approximately 1.4 × 10²² molecules of ibuprofen, calculated using the molar mass of ibuprofen and Avogadro's number.

Step-by-step explanation:

The question pertains to the computation of the number of moles and molecules of ibuprofen in a bottle containing 50 tablets, with each tablet having 100 mg of ibuprofen. To find the number of moles of ibuprofen, we use the molar mass of ibuprofen which is 206.3 g/mol. First, we need to convert the mass of ibuprofen from milligrams to grams:

• Total mass of ibuprofen in the bottle = 50 tablets × 100 mg/tablet = 5000 mg = 5 g
• Number of moles = total mass ÷ molar mass = 5 g ÷ 206.3 g/mol

To find the number of molecules, we use Avogadro's number, which is approximately 6.022 × 1023 molecules/mol:

• Number of molecules = number of moles × Avogadro's number

By calculating, we find that (a) the bottle contains 0.024 moles of ibuprofen and (b) contains approximately 1.4 × 1022 ibuprofen molecules.