Question
Titanium metal is obtained from the mineral rutile, $\mathrm{TiO}_{2}$. How many kilograms of rutile are needed to produce 100.0 kg of Ti?
Step 1
We know that 1 kilogram is equal to 1000 grams. Therefore, 100 kilograms of titanium is equal to 100,000 grams of titanium. \[100 \, \text{kg Ti} \times \frac{1000 \, \text{g}}{1 \, \text{kg}} = 100,000 \, \text{g Ti}\] Show more…
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A sample of rutile, an ore of titanium consisting principally of $\mathrm{TiO}_{2}(s)$, was found to be $65.2 \%$ $\mathrm{TiO}_{2}(s)$ by mass, with the remainder being sand impurities. What is the minimum number of metric tons of the ore that must be processed to obtain $10.0$ metric tons of titanium?
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