The amount of iron in a meteorite was determined by a redox titration using KMnO$4$ as the titrant. A $0\mathrm{.}765$ g sample was dissolved in acid and the liberated Fe$3+$ quantitatively reduced to Fe$2+.$ Titrating with $0\mathrm{.}023$ M KMnO$4$ requires $49\mathrm{.}19$ ml to reach the end point.

Unbalance reaction: Fe$2++$ MnO$4-->$ Fe$3++$ Mn$2+.$

Determine the $\%$ w$/$w Fe$2$O$3$ in the meteorite