Final answer:
To determine the mass of 5.00*10²³ molecules of F₂, we calculate the number of moles and then use the molar mass of F₂ to find the mass in grams, which is approximately 3.15 grams.
Step-by-step explanation:
To find the mass in grams of 5.00*10²³ molecules of F₂, we must first determine the number of moles those molecules represent. The conversion factor between molecules and moles is Avogadro's number, which is 6.02 x 10²³ molecules per mole. Once we have the number of moles, we can then use the molar mass of F₂ to find the mass in grams.
First, we calculate the number of moles:
Number of moles of F₂ = (5.00 x 10²³ molecules F₂) / (6.02 x 10²³ molecules/mol) = approximately 0.083 moles F₂
The molar mass of F₂ (Fluorine gas) is the mass of two fluorine atoms. Since the atomic mass of fluorine is about 19.00 g/mol, the molar mass of F₂ will be 38.00 g/mol. Now let's use the molar mass to find the mass in grams:
Mass of F₂ = (0.083 moles F₂) x (38.00 g/mol) = approximately 3.15 grams
So, the mass of 5.00*10²³ molecules of F₂ is approximately 3.15 grams.