Answer: 1.825 moles of hydrogen gas are produced.
Explanation:
The balanced chemical equation is:
[tex]Mg(s)+2HCl(aq)\rightarrow H_2(g)+MgCl_2(aq)[/tex]
According to stoichiometry :
2 moles of [tex]HCl[/tex] require = 1 mole of [tex]Mg[/tex]
Thus 3.65 moles of [tex]HCl[/tex] will require=[tex]\frac{1}{2}\times 3.65=1.825moles[/tex] of [tex]Mg[/tex]
Thus [tex]HCl[/tex] is the limiting reagent as it limits the formation of product and [tex]Mg[/tex] is the excess reagent.
As 2 moles of [tex]HCl[/tex] give = 1 mole of [tex]H_2[/tex]
Thus 3.65 moles of [tex]HCl[/tex] give =[tex]\frac{1}{2}\times 3.65=1.825moles[/tex] of [tex]H_2[/tex]
Thus 1.825 moles of hydrogen gas are produced.