Avogadro's constant is 6.02 x 10^23. (Or 6 x 10^23 as you have said)
It is the number of molecules/atoms/ions in 1 mol of a substance.
So a 1 mole of molecules is 6 x 10^23. 1 mole of atoms is also 6 x 10^23.
So for the first question you have 1/2 a mol of CH4 molecules and therefore the total number of molecules is 1/2 of Avogadro's constant, or (6 x 10^23)/2
For the second question you have 2 mols of H2 molecules and so you must multiply Avogadro's constant accordingly.
Stuff = atoms, molecules, unit factors, ions, electrons, protons, neutrons (for a laugh you can say there is currently 1.16 x 10^-14 people on this planet). In short, anything
So, a breakdown of this question
amazing-moi
1) 0.500 mol of CH4 molecules
2) 2.00 moles of h2 molecules
For quickness I'll use L for Avo's constant.
1) 0.500 mol of CH4 molecules CH4 Molecules: (0.5 x L) Atoms comprising 0.5mol CH4: (0.5 x 5 x L) [5 atoms / molecule] Carbon Atoms: (0.5 x L) Hydrogen atoms: (0.5 x 4 x L) Electrons present: (0.5 x 8 x L) [for each molecule of CH4 there are 8 electrons] etc
2) 2.00 moles of H2 molecules Molecules = (2L) Atoms = (2 x 2L) Electrons = (2 x 2L) [one electrons for each] Protons = (2 x 2L) [one H atom is one proton + one electron, normally)] etc