Question

Какая масса марганца может быть получена из смеси оксида марганца (III) и оксида марганца (IV) массой 500 г? Массовая доля Мп203 в смеси составляет 80%, Мп02 — 20%. Ответ: 342 г.

Answer 1

Calculation of Manganese Mass

To calculate the mass of manganese that can be obtained from a mixture of manganese(III) oxide and manganese(IV) oxide, we need to consider the mass percentages of each compound in the mixture.

Given: - Mass of the mixture = 500 g - Mass fraction of Mn2O3 (manganese(III) oxide) = 80% - Mass fraction of MnO2 (manganese(IV) oxide) = 20%

To find the mass of manganese, we can calculate the mass of each compound separately and then sum them up.

1. Mass of Mn2O3: - Mass fraction of Mn2O3 = 80% - Mass of Mn2O3 = Mass fraction of Mn2O3 * Mass of the mixture - Mass of Mn2O3 = 80% * 500 g = 400 g

2. Mass of MnO2: - Mass fraction of MnO2 = 20% - Mass of MnO2 = Mass fraction of MnO2 * Mass of the mixture - Mass of MnO2 = 20% * 500 g = 100 g

3. Total mass of manganese: - Total mass of manganese = Mass of Mn2O3 + Mass of MnO2 - Total mass of manganese = 400 g + 100 g = 500 g

Therefore, the mass of manganese that can be obtained from the given mixture is 500 g.