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Ch.3 - Chemical Reactions and Reaction Stoichiometry
Chapter 3, Problem 64b,c

An iron ore sample contains Fe2O3 together with other substances. Reaction of the ore with CO produces iron metal: Fe2O3(s) + CO(g) → Fe(s) + CO2(g) (b) Calculate the number of grams of CO that can react with 0.350 kg of Fe2O3. (c) Calculate the number of grams of Fe and the number of grams of CO2 formed when 0.350 kg of Fe2O3 reacts.

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1
First, we need to convert the mass of Fe2O3 from kilograms to grams because the molar mass of substances is usually expressed in grams per mole. We know that 1 kg = 1000 g, so multiply 0.350 kg by 1000.
Next, we need to calculate the number of moles of Fe2O3. The molar mass of Fe2O3 is approximately 159.69 g/mol. We can find the number of moles by dividing the mass of Fe2O3 by its molar mass.
From the balanced chemical equation, we can see that one mole of Fe2O3 reacts with one mole of CO. Therefore, the number of moles of CO that can react with Fe2O3 is the same as the number of moles of Fe2O3.
Now, we need to convert the number of moles of CO to grams. The molar mass of CO is approximately 28.01 g/mol. We can find the mass by multiplying the number of moles of CO by its molar mass.
Finally, the number of grams of CO that can react with 0.350 kg of Fe2O3 is the result from the previous step.

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Key Concepts

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

Stoichiometry

Stoichiometry is the branch of chemistry that deals with the quantitative relationships between the reactants and products in a chemical reaction. It allows us to calculate the amounts of substances consumed and produced in a reaction based on balanced chemical equations. Understanding stoichiometry is essential for determining how much of one substance is needed to react with a given amount of another.
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Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is calculated by summing the atomic masses of all the atoms in a molecule. In this problem, knowing the molar mass of Fe2O3 and CO is crucial for converting between grams and moles, which is necessary for stoichiometric calculations.
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Balanced Chemical Equation

A balanced chemical equation represents a chemical reaction with equal numbers of each type of atom on both sides of the equation. It ensures the law of conservation of mass is upheld. In this case, the balanced equation for the reaction between Fe2O3 and CO provides the mole ratio needed to determine how much CO reacts with a specific mass of Fe2O3.
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Related Practice
Textbook Question

The reaction between potassium superoxide, KO2, and CO2, 4 KO2 + 2 CO2¡2K2CO3 + 3 O2 is used as a source of O2 and absorber of CO2 in selfcontained breathing equipment used by rescue workers. (a) How many moles of O2 are produced when 0.400 mol of KO2 reacts in this fashion?

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Textbook Question

The reaction between potassium superoxide, KO2, and CO2, 4 KO2 + 2 CO2¡2K2CO3 + 3 O2 is used as a source of O2 and absorber of CO2 in selfcontained breathing equipment used by rescue workers. (b) How many grams of KO2 are needed to form 7.50 g of O2?

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Textbook Question

Several brands of antacids use Al1OH23 to react with stomach acid, which contains primarily HCl: Al(OH)3(s) + HCl(aq) → AlCl3(aq) + H2O(l) (b) Calculate the number of grams of HCl that can react with 0.500 g of Al(OH)3. (c) Calculate the number of grams of AlCl3 and the number of grams of H2O formed when 0.500 g of Al(OH)3 reacts.

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Aluminum sulfide reacts with water to form aluminum hydroxide and hydrogen sulfide. (a) Write the balanced chemical equation for this reaction. (b) How many grams of aluminum hydroxide are obtained from 14.2 g of aluminum sulfide?

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Textbook Question

Calcium hydride reacts with water to form calcium hydroxide and hydrogen gas. (a) Write a balanced chemical equation for the reaction.

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Textbook Question

Calcium hydride reacts with water to form calcium hydroxide and hydrogen gas. (b) How many grams of calcium hydride are needed to form 4.500 g of hydrogen?