Final answer:
To convert 7.84 x 10^24 particles of NO2 to grams, we first calculate the moles using Avogadro's number, and then multiply by the molecular weight of NO2, arriving at 598.92 grams.
Step-by-step explanation:
To find out how many grams 7.84 x 1024 particles of NO2 would equal, we must first determine the number of moles of NO2. Avogadro's number, which is 6.022 x 1023 particles per mole, is used for this conversion.
Then, using the molecular weight of NO2, which is 46 g/mol, we can calculate the mass in grams.
The number of moles of NO2 is calculated as follows:
7.84 x 1024 particles * (1 mole / 6.022 x 1023 particles) = 13.02 moles
Now, we multiply the number of moles by the molecular weight of NO2 to find the grams:
13.02 moles * 46 g/mol = 598.92 grams of NO2