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Let us get number atoms of the constituent first.

4 grams CH4 (1 mole CH4/16.042 grams)(6.022 X 1023/1 mole CH4)

= 1.5 X 1023 atoms of methane

========================so,

Carbon is one to one in the molecular formula, so let's get the number of hydrogen atoms in this mass methane.

1.5 X 1023 atoms CH4 (4 mole H/1 mole CH4)

= 6 X 1023 atoms hydrogen

======================now, we proceed to find electrons

1.5 X 1023 atoms carbon * 6 electrons

= 9 X 1023 electrons carbon

--------------------------------------

6 X 1023 atoms hydrogen * 1 electron

= 6 X 1023 electrons hydrogen

--------------------------------------------added together

= 1.5 X 1024 electrons in 4 grams methane

-------------------------------------------------------------( call it 2 X 1024 electrons methane to be in line with significant figures )

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