A steel sample is to be analysed fo r`Cr` and `Mn` simultaneously. By suitable treatment the `Cr` is oxidised to `Cr_(2)O_(7)^(2-)` and the Mn to `MnO_(4)^(-)` . A 10.00g sample of steel is used to produce `250.0mL` of a solution containing `Cr_(2)O_(7)^(2-)` and `MnO_(4)^(-).10 mL` of this solution is added to `BaCl_(2)` solution and by prooper adjument of the `pH`, the chromium is completely precipitate as `BaCrO_(4) (0.0549g)`. The second `10 mL` solution protion requires exactly `15.95 mL` of `0.0750 M` standard for complete reduction of this solution. Calculate `%` of `Mn` and `Cr` in this sample.

Answer

`Cr = 2.823%, Mn = 3.29%`