Final answer:
To find the mass in grams of a given number of molecules of a compound, we need to calculate the molar mass of the compound and then convert the given number of molecules to moles. Finally, we can use the molar mass to convert moles to grams.
Step-by-step explanation:
To find the mass in grams of a given number of molecules of a compound, we need to calculate the molar mass of the compound and then convert the given number of molecules to moles. Finally, we can use the molar mass to convert moles to grams using the formula:
Mass (g) = Moles (mol) x Molar mass (g/mol)
For the compound C10H15O (penguinone), the molar mass is 172.23 g/mol. We are given 2.00x10^23 molecules of the compound. Using the formula above, the mass in grams is:
Mass (g) = (2.00x10^23 molecules / 6.022x10^23 molecules/mol) x 172.23 g/mol = 573.28 g
Therefore, the correct answer is option (b) 558.4 g.