1. Find the number of moles of methane:
* Molar mass of methane (CH4): 12.01 g/mol (C) + 4 * 1.01 g/mol (H) = 16.05 g/mol
* Moles of methane: (1.6 g) / (16.05 g/mol) = 0.1 mol
2. Find the number of methane molecules:
* Avogadro's number: 6.022 x 10^23 molecules/mol
* Number of methane molecules: (0.1 mol) * (6.022 x 10^23 molecules/mol) = 6.022 x 10^22 molecules
3. Find the number of electrons per methane molecule:
* Carbon (C) has 6 electrons.
* Hydrogen (H) has 1 electron.
* Total electrons per methane molecule: 6 + (4 * 1) = 10 electrons
4. Calculate the total number of electrons:
* Total electrons: (6.022 x 10^22 molecules) * (10 electrons/molecule) = 6.022 x 10^23 electrons
Therefore, there are approximately 6.022 x 10^23 electrons in 1.6 g of methane.