How many atoms of carbon are present in 200 mg of Ibuprofen.

7.5 x 10²¹atoms

Explanation:

Chemical formula of the compound:

       C₁₃H₁₈O₂

Given mass  = 200mg

Unknown:

Number of atoms in 200mg ibuprofen = ?

Solution:

We need to find the number of moles represented by this mass;

   Number of moles  =

Molar mass of  C₁₃H₁₈O₂ = (12x13) + (1 x 18) + (16 x 2) = 206g/mol

 Input the parameter and solve for the number of moles;

    Number of moles = = 0.00097mol

          In  1 mole of C₁₃H₁₈O₂ there are 13 mole of carbon;

'         So, in 0.00097mol, we will have 13 x 0.00097mol  = 0.013mole

  1 mole of an atom contains 6.02 x 10²³ atoms

  0.013 mole of Carbon will contain 0.013 x  6.02 x 10²³ atoms

                                               = 7.5 x 10²¹atoms