Avogadro’s number is 6.02 x 10^ 23 atoms (or molecules) per mole. Through units cancellation:
Number of atoms = (4.56 mol)( 6.02 x 10^23 molecules/ mol) = 2.74 x 10^ 24 molecules
Since the C:H ratio is 1:4, 1 molecule of CH4 will have 4 atoms of hydrogen,
Therefore number of H = 4 (2.74 x 10^24 molecules) = 1.098 x 10^ 25 atoms