Titanium metal is obtained from the mineral rutile, TiO2. The process requires multiple steps, as shown in the following reactions:
TiO₂(s) + 2 Cl₂(g) + 2 C(s) → TiCl₄(s) + 2 CO(g)
TiCl₄(s) + 2 Mg(s) → Ti(s) + 2 MgCl₂(s)
a. Write mole ratios to show the relationship between the reactants and products for each reaction.

Question

Titanium metal is obtained from the mineral rutile, TiO2. The process requires multiple steps, as shown in the following reactions:

TiO₂(s) + 2 Cl₂(g) + 2 C(s) → TiCl₄(s) + 2 CO(g)

TiCl₄(s) + 2 Mg(s) → Ti(s) + 2 MgCl₂(s)

a. Write mole ratios to show the relationship between the reactants and products for each reaction.

Accepted Answer

Hello. And this problem, we're told that iron is obtained from iron three oxide. In the following series of reactions. Step one, hot air oxygen reacts with coke carbon to produce carbon dioxide and heat up the blast furnace. Step two, additional co produces carbon dioxide into carbon monoxide. And step three, the very high temperature allows carbon monoxide to reduce iron in iron three oxide. To write the mole ratios. To show the relationship between reaction components, make it easier to write the mole ratios. That's combined steps 12 and three, looking at step one, we see that we produced one mole of carbon dioxide. And in step two, we consume one mole of carbon dioxide. So we can cancel the carbon dioxide. In step two, we produce two moles of carbon monoxide. And in step three, we consume three moles of carbon monoxide. So we can cancel two of those. We combine. Then what's left? We see step one and step two, both have carbon. So we'll have two moles of carbon Reacts with one mole of oxygen Plus one mole of Iron three oxide Plus one mole of carbon monoxide gas goes to form two moles of iron And three moles of carbon dioxide. Beginning with the relationship between the iron, three oxide and iron, one mole of iron, three oxide Reacts to produce two moles of iron. So the relationship then is 1 - two. When we look at the answers that we have been provided in a, we see the relationship between Iron three oxide and iron is 1-2. It's the same relationship in B and we look and see the relationship is 2-1. So that's just opposite. So that's incorrect. And we would look at D, we see that the relationship between Iron three oxide and iron again is 1-2. Now let's go on to compare Iron three oxide to the other components in the reaction. So we have one mole, iron three oxide is equal to two moles of carbon is equal to one mole of oxygen, Equal to one mole of carbon monoxide. And this is equal to three moles of carbon dioxide. So our relationship is 1-2, 2, 1, 2, 1, 23. When we look at A, we see that we have the same relationship between iron three oxide and the other reaction components. When we look at B, we see that again, we have the same relationship between iron three oxide and the other reaction components we already eliminated. See when we look at D, the relationship between iron three oxide and other components does not match. We have 22221213. So this is incorrect. So canceled d then we're gonna relate iron to the other components. In the reaction. We have two moles of iron is equal to two moles of carbon is equal to one mole of oxygen, Which is equal to one mole of carbon monoxide. And this is equal to three moles of carbon dioxide. So our relationship is 2-2, 2, 1, 2, 1, 2, 3. Looking at answer a than the relationship between iron and the other reaction components Does not match. We have 1-2-1-1-3. So that's incorrect. So we'll eliminate a. Looking at B we see that the relationship between iron and the other reaction components is 2 to 2 to 1 to 123. So that means then that be is our correct answer. Thanks for watching. Hope this helped.

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Key Concepts

Mole Ratios

Stoichiometry

Chemical Reactions