Question

A bottle of the pain reliever ibuprofen (C13H18O2, molar mass 206.3 g/mol) has 485 tablets. Each tablet contains 200. mg of ibuprofen.

(a) How many moles of ibuprofen does the bottle contain?
(b) How many molecules of ibuprofen does the bottle contain?

pleaseee helpppp ):

Answer 1

(a) 485 x 200 mg = 97000 mg of ibuprofen in the bottle

97000 mg x (1g/1000mg) = 97g of ibuprofen in the bottle

97g (1 mol/ 206.5gC13H18O2) = 0.46973 moles of ibuprofen in the bottle

(b) 0.46973 mol C13H18O2 (6.022 x 10^23 molecules/1mol) = 2.8287 x 10^23 molecules of ibuprofen in the bottle

Answer 2

a) Moles of ibuprofen in a bottle of ibuprofen = 0.47 mol

b) No. of molecules in a bottle of ibuprofen is
`2.83* 10^(23)\ molecules`

Step-by-step explanation:

a)

Given:

Molar mass of ibuprofen = 206.3 g/mol

Amount of ibuprofen in one tablet = 200 mg

No. of tablet in a bottle = 485

Total amount of ibuprofen in one bottle

= 485 × 200

= 97000 mg or 97 g

Mole is given by,

`mole=(Mass\ in\ g)/(Molar\ mass)`

Moles in 97 g of ibuprofen =
`=(97)/(206.3) =0.47\ mol`

Moles of ibuprofen in a bottle of ibuprofen = 0.47 mol

b)

Number of molecules in one mole =
`6.02* 10^(23)`

No. of molecules in 0.47 mol is,

`0.47 * 6.02 * 10^(23)= 2.83* 10^(23)\ molecules`

No. of molecules in a bottle of ibuprofen is
`2.83* 10^(23)\ molecules`