To find out how many grams of tungsten could be produced, we first need to determine the molar mass of WS3 and tungsten (W).
1. Calculate the molar mass of WS3:
W = 183.84 g/mol
S = 32.06 g/mol
The molar mass of WS3 is: (1 * 183.84) + (3 * 32.06) = 280.02 g/mol
2. Convert the given mass of WS3 to moles:
Moles = Mass / Molar mass
Moles = 39.27 g / 280.02 g/mol
Moles = 0.14 mol
3. Use the balanced equation to determine the stoichiometric ratio between WS3 and W:
WS3(s) + O2(g) → WO3(s) + SO2(g)
Balanced equation: 2 WS3 → 2 W + 3 SO2
From the balanced equation, we can see that it takes 2 moles of WS3 to produce 2 moles of W.
4. Convert moles of WS3 to moles of W using the stoichiometric ratio:
Moles of W = Moles of WS3 * (2 moles of W / 2 Moles of WS3)
Moles of W = 0.14 mol * (2 / 2)
Moles of W = 0.14 mol
5. Convert moles of W to grams using the molar mass of tungsten:
Mass of W = Moles of W * Molar mass of W
Mass of W = 0.14 mol * 183.84 g/mol
Mass of W = 25.75 g
Therefore, if 39.27 grams of WS3 are used, approximately 25.75 grams of tungsten could be produced.