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Question 8
Titanium is a transition metal. Titanium is extracted from titanium dioxide in a two stage industrial process. Stage 1 TiO₂ + 2 C + 2 Cl₂ → TiCl₄ + 2 CO Stage 2 Ti... show full transcript
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Answer
Titanium chloride is predominantly ionic, and ionic compounds typically have high melting points due to strong electrostatic forces between ions. Therefore, it may be expected to be a solid at room temperature.
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To calculate the moles of TiCl₄, we use the formula:
ext{Moles} = rac{ ext{mass}}{ ext{molar mass}}
The molar mass of TiCl₄ is 190 g/mol. For 40 kg (40000 g) of TiCl₄, the moles would be:
ext{Moles of TiCl₄} = rac{40000 g}{190 g/mol} = 210.53 ext{ mol}
For 20 kg of sodium, the moles would be:
ext{Moles of Na} = rac{20000 g}{23 g/mol} ext{ (approx. 870 mol)}
Hence, TiCl₄ is the limiting reactant as there aren’t enough moles of TiCl₄ to react with the amount of sodium provided.
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The actual mass of titanium produced can be calculated using the percentage yield:
ext{Actual mass} = rac{ ext{Percentage Yield}}{100} imes ext{Theoretical Mass}
Substituting the values:
ext{Actual mass} = rac{92.3}{100} imes 13.5 ext{ kg} = 12.46 ext{ kg}
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