To determine the maximum mass of tungsten that can be formed from 200g of tungsten oxide (WO3), we need to consider the balanced chemical equation:
WO3 + 3H2 → W + 3H2O
From the equation, we can see that 1 mole of WO3 reacts to form 1 mole of W. To calculate the maximum mass of tungsten, we need to convert the given mass of WO3 to moles, and then use the mole ratio to determine the mass of W.
First, we need to determine the molar mass of WO3. Tungsten (W) has a molar mass of 183.84 g/mol, and oxygen (O) has a molar mass of 16.00 g/mol. Since WO3 has one tungsten atom and three oxygen atoms, the molar mass of WO3 is:
Molar mass of WO3 = (1 * molar mass of W) + (3 * molar mass of O)
= (1 * 183.84 g/mol) + (3 * 16.00 g/mol)
= 183.84 g/mol + 48.00 g/mol
= 231.84 g/mol
Next, we can calculate the number of moles of WO3 using the given mass:
Number of moles of WO3 = Mass of WO3 / Molar mass of WO3
= 200 g / 231.84 g/mol
≈ 0.862 mol
Since the mole ratio between WO3 and W is 1:1, the number of moles of tungsten (W) formed will also be 0.862 mol.
Finally, we can calculate the mass of tungsten (W) using the molar mass of tungsten (183.84 g/mol):
Mass of tungsten (W) = Number of moles of W * Molar mass of W
= 0.862 mol * 183.84 g/mol
≈ 158.56 g
Therefore, the maximum mass of tungsten that can be formed from 200g of tungsten oxide (WO3) is approximately 158.56 grams.