Answer : The number of moles of [tex]NH_3[/tex] produced can be 16 moles.
Solution : Given,
Moles of [tex]H_2[/tex] = 24.0 mol
The balanced chemical reaction is,
[tex]3H_2(g)+N_2(g)\rightarrow 2NH_3(g)[/tex]
By the stoichiometry, we can say that 3 moles of hydrogen gas react with 1 mole of nitrogen gas to give 2 moles of ammonia gas as a product.
From the balanced reaction we conclude that
As, 3 moles of [tex]H_2[/tex] react to give 2 mole of [tex]NH_3[/tex]
So, 24.0 moles of [tex]H_2[/tex] react to give [tex]\frac{24.0}{3}\times 2=16[/tex] moles of [tex]NH_3[/tex]
Therefore, the number of moles of [tex]NH_3[/tex] produced can be 16 moles.