   # The balanced equation for the reduction of iron ore to the metal using CO is Fe 2 O 3 (s) + 3 CO(g) → 2 Fe(s) + 3 CO 2 (g) (a) What is the maximum mass of iron, in grams, that can be obtained from 454 g (1.00 lb) of iron(III) oxide? (b) What mass of CO is required to react with 454 g cot Fe 2 O 3 ? ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 4, Problem 4PS
Textbook Problem
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## The balanced equation for the reduction of iron ore to the metal using CO isFe2O3(s) + 3 CO(g) → 2 Fe(s) + 3 CO2(g) (a) What is the maximum mass of iron, in grams, that can be obtained from 454 g (1.00 lb) of iron(III) oxide? (b) What mass of CO is required to react with 454 g cot Fe2O3?

(a)

Interpretation Introduction

Interpretation:

From the given reaction the mass of iron Fe(in gram) produced has to be determined.

Concept Introduction:

Numberofmole=GivenmassofthesubstanceMolarmass

• The molar mass of an element or compound is the mass in grams of 1 mole of that substance, and it is expressed in the unit of grams per mol (g/mol).
• For chemical reaction balanced chemical reaction equation written in accordance with the Law of conservation of mass.
• Law of conservation of mass states that for a reaction total mass of the reactant and product must be equal.
• Stoichiometric factor is a relationship between reactant and product which is obtained from the balanced chemical equation for a particular reaction.

### Explanation of Solution

Balanced chemical equation for the given reaction is,

Fe2O3(s)+3CO(g)2Fe(s)+3CO2(g)

The amount (moles) of Fe2O3 available can be calculated by using the equation

Numberofmole=GivenmassofthesubstanceMolarmass

454gFe2O3×1molFe2O3159.69gFe2O3=2.843molFe2O3

Using the stoichiometric factor calculating the amount of Carbon monoxide required based on the amount of Fe2O3 as follows,

2

(b)

Interpretation Introduction

Interpretation:

From the given reaction the mass of Carbon monoxide in gram is required to react with 454g of Fe2O3 has to be determined.

Concept introduction:

Numberofmole=GivenmassofthesubstanceMolarmass

• The molar mass of an element or compound is the mass in grams of 1 mole of that substance, and it is expressed in the unit of grams per mol (g/mol).
• For chemical reaction balanced chemical reaction equation written in accordance with the Law of conservation of mass.
• Law of conservation of mass states that for a reaction total mass of the reactant and product must be equal.
• Stoichiometric factor is a relationship between reactant and product which is obtained from the balanced chemical equation for a particular reaction.

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