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1. Ibuprofen (C13H18O2) is the active ingredient in many nonprescription pain relievers. Each tablet contains 200 mg of ibuprofen, and a typical adult dose is two tablets every six hours. • Determine the molar mass of ibuprofen (show your work). • Calculate the number of moles of ibuprofen in a single tablet (show your work). • Calculate the number of moles of ibuprofen that an adult would have taken if she took four doses of ibuprofen in one day (show your work).

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Eduard22sly

A. The molar mass of Ibuprofen, C₁₃H₁₈O₂ is 206 g/mol  

B. The number of mole of Ibuprofen, C₁₃H₁₈O₂ in a single tablet is 9.7×10¯⁴ mole

C. The number of mole of Ibuprofen the adult will consume in one day is 7.77×10¯³ mole

A. Determination of molar mass of Ibuprofen, C₁₃H₁₈O₂

Molar mass of C₁₃H₁₈O₂ = (12×13) + (18×1) + (16×2)

= 156 + 18 + 32

= 206 g/mol

B. Determination of the mole of Ibuprofen in one tablet.

  • Molar mass of C₁₃H₁₈O₂ = 206 g/mol
  • Mass of one tablet = 200 mg = 200 × 10¯³ = 0.2 g
  • Mole of one tablet =?

Mole = mass / molar mass

Mole of one tablet = 0.2 / 206

Mole of one tablet = 9.7×10¯⁴ mole

C. Determination of the mole of Ibuprofen consumed in one day.

  • One tablet = 200 mg
  • A dose of ibuprofen = 2 tablets = 2 × 200 = 400 mg
  • Four dose = 4 × 400 = 1600 mg = 1600 × 10¯³ = 1.6 g
  • Molar mass of ibuprofen = 206 g/mol

Mole of ibuprofen for one day =?

Mole = mass / molar mass

Mole for one day = 1.6 / 206

Mole for one day= 7.77×10¯³ mole

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mickymike92

Molar mass of Ibuprofen is 206 g; number of moles in one tablet is 0.00097 moles; number of moles in four adult doses is 0.00776 moles

Molar mass

The molar mass of a substance is the mass of one mole of that substance expressedin grams.

Calculating molar mass

The molar mass of a substance is calculated from the summation of the molar atomic masses of the elements present in that substance.

Calculating the molar mass of Ibuprofen

The formula of Ibuprofen is (C13H18O2)

The molar atomic masses of the elements are as follows: C = 12, H = 1, O = 16

There are 13 atoms of carbon, 18 atoms of hydrogen and 2 atoms of oxygen in 1 mole of Ibuprofen.

Molar mass of Ibuprofen = 13 × 12 + 18 ×1 + 2 × 16

Molar mass of Ibuprofen = 206 g

Number of moles of Ibuprofen in 200 mg tablet

Number of moles = mass/molar mass

mass of Ibuprofen = 200 mg = 0.2 g

Number of moles of = 0.2/206

Number of moles of Ibuprofen in one tablet = 0.00097 moles

Number of moles of Ibuprofen in four adult doses of Ibuprofen

1 dose = 2 tablets

4 doses = 8 tablets

mass of 8 tablets = 0.2 × 8 = 1.6 g

Number of moles = 1.6/206

Number of moles of Ibuprofen in four adult doses = 0.00776 moles

Therefore, molar mass of Ibuprofen is 206 g; number of moles in one tablet is 0.00097 moles; number of moles in four adult doses is 0.00776 moles.

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