Hydrogen gas can be made by reacting methane (ch4) with high temperature steam: ch4(g) + h2o(g) > co(g) + 3h2(g) how many hydrogen molecules are produced when 256 grams of methane reacts with steam? show work so i can understand the concept

CH4(g) + H2O(g) ---> CO(g) + 3H2(g)

mass of methane CH4 = 256g

molar mass of methane,CH4 = C + 4 H = 16.04g/mol

moles of CH4

= mass/Molar mass

= 256/16.04

= 15.96 moles CH4

moles of H2 produced

= 15.96 moles CH4 x      3 moles H2    

                                           1 mol CH4

=  47.88 moles H2

number of H2 molecules produced here

= 47.88 moles H2 x   6.022 x 10²³ molecules

                                             1 mole

= 288.335 x 10²³ H2 molecules  

=    2.88 x 10²⁵  H2 molecules

2.88 x 10²⁵  H2 molecules are produced when 256g of methane reacts with steam.