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?

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Respuesta :

(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:

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

b) No. of molecules in a bottle of ibuprofen is [tex]2.83\times 10^{23}\ molecules[/tex]

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,

[tex]mole=\frac{Mass\ in\ g}{Molar\ mass}[/tex]

Moles in 97 g of ibuprofen = [tex]=\frac{97}{206.3} =0.47\ mol[/tex]

Moles of ibuprofen in a bottle of ibuprofen = 0.47 mol

b)

Number of molecules in one mole = [tex]6.02\times 10^{23}[/tex]

No. of molecules in 0.47 mol is,

               [tex]0.47 \times 6.02 \times 10^{23}= 2.83\times 10^{23}\ molecules[/tex]

No. of molecules in a bottle of ibuprofen is [tex]2.83\times 10^{23}\ molecules[/tex]

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