Question

In: Chemistry

A sample of fluorine has a mass of 27.2 grams. How many f atoms are there...

A sample of fluorine has a mass of 27.2 grams.

How many f atoms are there in the sample?

atoms

How many f2 molecules are there in the sample?

molecules

Solutions

Expert Solution

Ans. Fluorine naturally exists in diatomic gas as F2. So, the sample of fluorine is actually F2 gas.

Moles of F2 in sample = Mass / Molar mass

                                    = 27.2 g / (37.9968064 g/ mol)

                                    = 0.71585 mol

#I. 1 mol F2 gas consists of 2 mol F-atoms.

So,

            Moles of F-atoms = 2 x moles of F2

                                    = 2 x 0.71585 mol

                                    = 1.4317 mol

Now,

            Number of F-atoms = Moles of F-atom x Avogadro number

                                    = 1.4317 mol x (6.022 x 1023 atoms/ mol)

                                    = 8.622 x 1023 atoms

#II. We have, moles of F2 = 0.71585 mol

Now,

            Number of F2 molecules = Moles of F2 x Avogadro number

                                    = 0.71585 mol x (6.022 x 1023 molecules/ mol)

                                    = 4.311 x 1023 molecules


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