The question requires us to calculate the mass of 1.00 x 10^23 molecules of ozone (O3).
To solve this question, we need to calculate the number of moles that corresponds to 1.00 x 10^23 molecules of O3, using the Avogadro number, then calculate the molar mass of ozone and use these two values calculated to obtain the mass required.
First, let's use the Avogadro's number (6.02 x 10^23) to calculate the number of moles contained in 1.00 x 10^23 molecules of O3, knowing that 1 mol of any substance contains 6.02 x 10^23 molecules:
6.02 x 10^23 molecules of O3 --------------- 1 mol of O3
1.00 x 10^23 molecules of O3 ---------------- x
Solving for x, we have that 1.00 x 10^23 molecules of O3 corresponds to 0.166 moles of this substance.
Next, we calculate the molar mass of ozone, knowing that the atomic mass of oxygen (O) is 15.99 u:
molar mass of ozone = (3 * 15.99) = 47.97 g/mol
Now, knowing that each mol of ozone contains 47.97 g of this compound and that the amount of molecules given corresponds to 0.166 moles of ozone, we can calculate the mass of 1.00 x 10^23 molecules of O3:
1 mol of O3 --------------- 47.97 g of O3
0.166 mol of O3 --------- y
Solving for y, we have that 0.166 moles of O3 contain 7.96 grams of this compound.
Therefore, the mass of 1.00 x 10^23 molecules of ozone is 7.96 g.