What mass of tungsten can be obtained by hydrogen reduction of an ore weighing 145 grams
What mass of tungsten can be obtained by hydrogen reduction of an ore weighing 145 grams, containing tungsten (VI) oxide and non-reducing impurities, the mass fraction of which is 20%?
The reduction of tungsten from its oxide (VI) with hydrogen proceeds at a high temperature. The reaction produces pure tungsten metal and water. Reaction equation:
WO3 + 3 H2 = W + 3 H2O
To solve the problem, let us find the mass of pure tungsten (VI) oxide in the sample. Its concentration in the ore: 100% – 20% = 80%
m = 145 * 80/100 = 116 g.
The molar mass of tungsten is 184 g / mol, the molar mass of WO3 = 232 g / mol
Now, using the reaction equation, we calculate the mass of tungsten reduced from ore. Let’s make the proportion:
116 g of tungsten oxide corresponds to X g of tungsten, as
232 g / mol of tungsten oxide corresponds to 184 g / mol.
X = (116 * 184) / 232 = 92 g of tungsten
Answer: 92 g of tungsten