Fe^(2+) is oxidized to "ferric ion":
"Fe"^(2+) rarr "Fe"^(3+) + e^- (i)
And nitric acid is reduced to nitrous oxide:
"H"stackrel(V+)"NO"_3 + "3H"^(+) + 3e^(-) rarrstackrel(II+)"NO" +"2H"_2"O" (ii)
And so 3xx(i)+(ii) gives............
3Fe^(2+) +4HNO_3 rarr 3Fe^(3+) +NO(g)uarr +3NO_3^(-) +2H_2O(l)
I have treated H^(+)-=HNO_3 here...........
Now you have claimed you got 16*g of ferrous iron (which is less than the equivalent mass of ferrous salt, like FeSO_4.
Going with 16*g, this represents a molar quantity of........
(16*g)/(55.8*g*mol^-1)=0.287*mol, and thus we need 4/3xx0.287*mol=0.382*mol with respect to nitric acid.
And finally, "moles"="concentration"xx"volume", or "volume"="moles"/"concentration",
=(0.382*mol)/(5.0*mol*L^-1)=76.5*mL.......
Remember I have calculated with respect to a mass of ferrous iron, not to a mass of ferrous salt.