1. Convert Molecules to Moles:
* Avogadro's Number: One mole of any substance contains 6.022 x 10^23 particles (atoms, molecules, etc.).
* Calculation:
(9.47 x 10^24 molecules) / (6.022 x 10^23 molecules/mol) = 15.73 moles of methanol
2. Calculate Mass using Molar Mass:
* Molar Mass of Methanol (CH3OH):
* Carbon (C): 12.01 g/mol
* Hydrogen (H): 1.01 g/mol (x 4)
* Oxygen (O): 16.00 g/mol
* Total Molar Mass: 12.01 + (4 * 1.01) + 16.00 = 32.05 g/mol
* Calculation:
(15.73 moles) * (32.05 g/mol) = 504.3 g
Therefore, the mass of 9.47 x 10^24 methanol molecules is approximately 504.3 grams.
