Final answer:
To determine the theoretical mass of titanium produced from 250.0 g of TiO2, we would calculate the molar masses, convert the mass of TiO2 to moles, use the stoichiometry of the reaction to determine moles of titanium, and convert back to mass. Specific data for molar masses is required to perform the actual calculation.
Step-by-step explanation:
The question pertains to the calculation of the theoretical yield of titanium metal (Ti) from a given mass of titanium dioxide (TiO2). We will use stoichiometry to determine the mass of titanium that can be produced from 250.0 grams of TiO2. The reaction for the production of titanium involves magnesium (Mg) reacting with titanium tetrachloride (TiCl4) to produce titanium metal and magnesium chloride (MgCl2). The process includes the conversion of TiO2 to TiCl4, followed by reaction with molten magnesium.
Molar masses would be determined for TiO2 and Ti to find the number of moles involved. Then the stoichiometry of the reaction, showing a 1:1 mole ratio between TiCl4 and Ti, would be used to calculate the theoretical yield of titanium. This calculation would involve converting the mass of TiO2 into moles, using the mole ratio to find the moles of titanium produced, and converting back to mass using the molar mass of titanium.
However, specific details such as the molar masses of TiO2 and Ti are not provided in the question text, which would be essential for completing the calculation. The general approach, nevertheless, is accurate in describing the calculation process that would be followed if all relevant data were available.