Chemistry help?

Question

how many moles of methane, CH4, would you need to produce enough hydrogen gas to produce 6 moles of ammonia, NH3?

Answer 1

In technological processes (e.g. in chemical plants where ammonia is made) methane is reacted with water to form hydrogen and CO (synthesis gas or syngas), it will not be decomposed to carbon and hydrogen.
CH4 + H2O = CO + 3H2
N2 + 3H2 = 2NH3
so you need 9 moles of H2 to make 6 moles of ammonia, thus you need 2 moles of methane.

Answer 2

CH4 ---> C + 2 H2

N2 + 3 H2 ---> 2 NH3

6 moles of ammonia would require 9 moles of hydrogen, so you would need to decompose 4.5 moles of methane.