Answer :
The molar mass of ibuprofen is, 206.29 g/mole.
The number of moles of ibuprofen in a single tablet is, 0.000969 moles
The number of moles of ibuprofen in four doses is, 0.007752 moles
Solution : Given,
Molar mass of carbon = 12.01 g/mole
Molar mass of hydrogen = 1.01 g/mole
Molar mass of oxygen = 15.99 g/mole
1) Now we have to calculate the molar mass of ibuprofen.
Molar mass of ibuprofen,
= ![(13\times 12.01)+(18\times 1.01)+(2\times 15.99)=206.29g/mole](https://tex.z-dn.net/?f=%2813%5Ctimes%2012.01%29%2B%2818%5Ctimes%201.01%29%2B%282%5Ctimes%2015.99%29%3D206.29g%2Fmole)
The molar mass of ibuprofen = 206.29 g/mole
2) Now we have to calculate the moles of ibuprofen.
Formula used : ![Moles=\frac{Mass}{\text{ Molar mass}}](https://tex.z-dn.net/?f=Moles%3D%5Cfrac%7BMass%7D%7B%5Ctext%7B%20Molar%20mass%7D%7D)
Given : Mass of ibuprofen = 200 mg = 0.2 g (1 mg = 1000 g)
![\text{ Moles of ibuprofen}=\frac{\text{ Mass of ibuprofen}}{\text{ Molar mass of ibuprofen}}=\frac{0.2g}{206.29g/mole}=0.000969moles](https://tex.z-dn.net/?f=%5Ctext%7B%20Moles%20of%20ibuprofen%7D%3D%5Cfrac%7B%5Ctext%7B%20Mass%20of%20ibuprofen%7D%7D%7B%5Ctext%7B%20Molar%20mass%20of%20ibuprofen%7D%7D%3D%5Cfrac%7B0.2g%7D%7B206.29g%2Fmole%7D%3D0.000969moles)
The moles of ibuprofen = 0.000969 moles
3) Now we have to calculate the number of moles of ibuprofen for four doses.
Number of tablets in one dose = 2
Total number of tablets in 4 doses = 4 × 2 = 8
Number of moles of ibuprofen in 8 tablets =
![\text{ Number of moles of ibuprofen in 1 tablet}\times \text{ Total number of tablets}=0.000969\times 8=0.007752moles](https://tex.z-dn.net/?f=%5Ctext%7B%20Number%20of%20moles%20of%20ibuprofen%20in%201%20tablet%7D%5Ctimes%20%5Ctext%7B%20Total%20number%20of%20tablets%7D%3D0.000969%5Ctimes%208%3D0.007752moles)