To calculate the mass of a sample with a given number of particles, you need to use the formula:
Mass (grams) = Number of particles / Avogadro's number * molar mass
First, find the molar mass of O3 (ozone). Oxygen (O) has a molar mass of approximately 16.00 g/mol. Since ozone (O3) consists of three oxygen atoms, the molar mass of O3 is 3 times that of a single oxygen atom:
Molar mass of O3 = 3 * 16.00 g/mol = 48.00 g/mol
Next, you need to determine the number of ozone molecules in 5.0x10^25 O3 molecules. Remember that 1 mole of any substance contains Avogadro's number (approximately 6.022x10^23) of molecules.
Number of moles of O3 = (5.0x10^25 O3 molecules) / (6.022x10^23 molecules/mol) ≈ 83.11 moles
Now, you can calculate the mass:
Mass (grams) = (83.11 moles) * (48.00 g/mol) ≈ 3987.28 grams
So, the mass of 5.0x10^25 O3 molecules is approximately 3987.28 grams.