1 molecule of CH4 has 6+4(1)=10 electrons
Avagadro number is equal to one mole
So,
One mole of CH4 has 10*avagadro numbers of electrons
1 mole of methane gas weighs 12+4(1)=16g
Therefore,
16 grams of CH4 contain 10*6.023*1023 electrons = 6.623*1024 electrons.