Question

Prussian Blue is a vibrant, blue pigment that has been used for centuries.

Prussian Blue has a molecular formula of Fe(CN)18. What is Prussian Blue's
molar mass? Show all work to receive full credit. (5 pts)

Answer 1

524.21 g/mol

Step-by-step explanation:

The molar mass of a compound is the sum of the atomic masses of all the atoms in its chemical formula. The molecular formula of Prussian Blue is Fe(CN)18.

The atomic mass of iron (Fe) is 55.85 g/mol. The atomic mass of carbon is 12.01 g/mol and the atomic mass of nitrogen (N) is 14.01 g/mol. So the molar mass of the CN group is 12.01 g/mol + 14.01 g/mol = 26.02 g/mol.

Since there are 18 CN groups in one molecule of Prussian Blue, the total contribution of the CN groups to the molar mass of Prussian Blue is 18 × 26.02 g/mol = 468.36 g/mol.

So the molar mass of Prussian Blue is 55.85 g/mol + 468.36 g/mol = 524.21 g/mol.