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QUESTION

# Which sample of fluorine gas, F2, contains the greatest number of fluorine molecules? (multiple choice)

Let's use the symbol N_A, where N_A = 6.022xx10^23.

A. there are approx. 1/3N_A, INDIVIDUAL F_2 molecules.

B. there are approx 1/12N_A, INDIVIDUAL F_2 molecules.

C. there are approx. 1/19N_A, INDIVIDUAL F_2 molecules.

D. there are approx. 1.9xxN_A, INDIVIDUAL F_2 molecules.

By using the symbol N_A (where N_A is Avogadro's number) it is clear that option D is BY FAR THE MOST NUMEROUS.

Option A. was simply a number. To assess B, I know that N_A F_2 molecules has a volume of 22.4*L. To assess C, I know that N_A F_2 molecules has a mass of 38 g, so in 1.9 g F_2 there are approx. 1/19xxN_A such molecules. But D. specifies approx. 2N_A F_2 miolecules.

So, when we use Avogadro's number as a NUMBER, and indeed it is a number, option D CLEARLY contains the most molecules.

I could have replaced the "mole" term with a dozen (because that's the number is equivalent to!) and got nearly the same answer. If you are unconvinced with this treatment, state your objections, and we will try again. The point is that N_A is simply a number, that has the property that N_A F_2 molecules has a mass of 38.0 g.