Titanium metal is obtained from the mineral rutile, TiO2. The process requires multiple steps, as shown in the following reactions: TiO 2 (s) + 2 Cl 2 (g) + 2 C(s) → TiCl 4 (s) + 2 CO(g) TiCl 4 (s) + 2 Mg(s) → Ti(s) + 2 MgCl 2 (s) a. Write mole ratios to show the relationship between the reactants and products for each reaction.

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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1. Matter and Measurements4h 31m
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6. Chemical Reactions & Quantities

Stoichiometry

GOB Chemistry

6. Chemical Reactions & Quantities

Stoichiometry

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4:10 minutes

Problem 43a

Textbook 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.

Verified step by step guidance

Step 1: Understand the concept of mole ratios. Mole ratios are derived from the coefficients of a balanced chemical equation and represent the proportional relationship between reactants and products in a chemical reaction.

Step 2: For the first reaction, TiO₂(s) + 2 Cl₂(g) + 2 C(s) → TiCl₄(s) + 2 CO(g), identify the coefficients of each substance. These coefficients are: 1 for TiO₂, 2 for Cl₂, 2 for C, 1 for TiCl₄, and 2 for CO.

Step 3: Write the mole ratios for the first reaction. For example, the mole ratio between TiO₂ and Cl₂ is 1:2, between TiO₂ and C is 1:2, between TiO₂ and TiCl₄ is 1:1, and between TiO₂ and CO is 1:2. Similarly, you can write mole ratios for other pairs of reactants and products.

Step 4: For the second reaction, TiCl₄(s) + 2 Mg(s) → Ti(s) + 2 MgCl₂(s), identify the coefficients of each substance. These coefficients are: 1 for TiCl₄, 2 for Mg, 1 for Ti, and 2 for MgCl₂.

Step 5: Write the mole ratios for the second reaction. For example, the mole ratio between TiCl₄ and Mg is 1:2, between TiCl₄ and Ti is 1:1, and between TiCl₄ and MgCl₂ is 1:2. Similarly, you can write mole ratios for other pairs of reactants and products.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Mole Ratios

Mole ratios are derived from the coefficients of a balanced chemical equation and represent the proportional relationship between the amounts of reactants and products involved in a reaction. They are essential for stoichiometric calculations, allowing chemists to predict how much of each substance is needed or produced in a reaction. For example, in the reaction of TiO2 with Cl2 and C, the mole ratio indicates that one mole of TiO2 reacts with two moles of Cl2 and two moles of C to produce one mole of TiCl4 and two moles of CO.

Stoichiometry

Stoichiometry is the branch of chemistry that deals with the quantitative relationships between the substances involved in chemical reactions. It allows for the calculation of reactants and products in a reaction based on the balanced equation. Understanding stoichiometry is crucial for determining how much titanium can be produced from a given amount of rutile, as it provides the necessary framework for converting between moles of reactants and products.

Chemical Reactions

Chemical reactions involve the transformation of reactants into products through the breaking and forming of chemical bonds. Each reaction can be represented by a balanced equation that shows the identity and quantity of each substance involved. In the provided reactions, the conversion of TiO2 to TiCl4 and then to titanium illustrates the multi-step nature of chemical processes, highlighting the importance of understanding each step to accurately write mole ratios and predict outcomes.

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