Question

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

Answer 1

7.5 x 10²¹atoms

Step-by-step 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 =
`(mass)/(molar mass)`

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 =
`(200 x 10^(-3) )/(206)` = 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