Answer : The initial concentration of [tex]Fe^{3+}[/tex] and [tex]SCN^-[/tex] in the solution are, 0.200 M and 0.0020 M respectively.
Explanation : Given,
Concentration of [tex]Fe(NO_3)_3[/tex] = 0.200 M
Concentration of [tex]KSCN[/tex] = 0.0020 M
As, 1 mole of [tex]Fe(NO_3)_3[/tex] dissociate then it gives 1 mole of [tex]Fe^{3+}[/tex] ion and 3 moles of [tex]NO_3^-[/tex] ion.
So, 0.200 M of [tex]Fe(NO_3)_3[/tex] dissociate then it gives 0.200 M of [tex]Fe^{3+}[/tex] ion and (3×0.200 M) of [tex]NO_3^-[/tex] ion.
and,
As, 1 mole of [tex]KSCN[/tex] dissociate then it gives 1 mole of [tex]K^{+}[/tex] ion and 1 mole of [tex]SCN^-[/tex] ion.
So, 0.0020 M of [tex]KSCN[/tex] dissociate then it gives 0.0020 M of [tex]K^{+}[/tex] ion and 0.0020 M of [tex]SCN^-[/tex] ion.
Thus, the initial concentration of [tex]Fe^{3+}[/tex] and [tex]SCN^-[/tex] in the solution are, 0.200 M and 0.0020 M respectively.