Bismark brown is a dye. Its molar mass is 228.3
g/mol. When the dye was analyzed by a scientist, it
was found that it contains 30.68% nitrogen. How
many nitrogen atoms are there in each Bismark
brown molecule?
Answers
=> The molar mass of the Dye is 228.3 grams per mole.
=> 1 mole of substance is 6.023 x 10^23 molecules.
=> So, 6.023 x 10^23 molecules of it has a mass of 228.3 grams.
=> Hence, 1 molecule of it has a mass of 228.3/(6.023 x 10^23) grams.
=> We need to find how many atoms of nitrogen are present in one molecule.
=> The dye contains 30.68% of Nitrogen by weight.
=> So, 30.68/100 x 228.3/(6.023 x 10^23) grams of Nitrogen in 1 molecule.
=> (0.3068 x 228.3)/(6.023 x 10^23) grams of nitrogen in one molecule.
=> Molar mass of Nitrogen (atoms) is 14 grams per mole.
=> So, 6.023 x 10^23 atoms of Nitrogen has a mass of 14 grams.
=> 1 atom of Nitrogen has a mass of 14/(6.023 x 10^23) grams.
=> Hence, ((0.3068 x 228.3)/(6.023 x 10^23))/14/(6.023 x 10^23) atoms.
=> (0.3068 x 228.3)/14
=>70.04244/14
=> 5.00303
=> 5
Hence, there will be 5 atoms of Nitrogen in 1 molecule of Bismarck Brown dye.