I think there is a mistake in strings mass, I think it is 0.7450 g, not 0.1450 g
First, we need to get no.of moles of SN2+ = molarity * volume
= 0.1 M* 0.0224 L = 0.00224 moles
So, according to the reaction equation:
2Fe3+(aq) + SN2+(aq) → 2 Fe2(aq) + SN4+ (Aq)
we can see that the molar ratio between Fe3+ and SN2+ = 2:1
∴ to get the no.of moles Fe3+ we have to multiply SN2+ by 2
= 2 * 0.00224 = 0.00448 moles
now, when we know the molar mass of Fe3+ = 55.847 g/mol
so, we can use it and the no. of moles to get the mass
mass Fe3+ = moles * molar mass
= 0.00448 * 55.847 = 0.25 g
∴ Mass Fe3+ % = 0.25/0.7450 * 100 = 33.6 %