   # onsider the balanced chemical equation :math&gt; 4 Al ( s ) + 3 O 2 ( g ) → 2 Al 2 O 3 ( s ) . at mole ratio would you use to calculate how many moles of oxygen gas would be needed to react completely with a given number of moles of aluminum metal? What mole ratio would you use to calculate the number of moles of product that would be expected if a given number of moles of aluminum metal reacts completely? ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781337399425

#### Solutions

Chapter
Section ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781337399425
Chapter 9, Problem 9QAP
Textbook Problem
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## onsider the balanced chemical equation:math> 4 Al ( s ) + 3 O 2 ( g ) → 2 Al 2 O 3 ( s ) .at mole ratio would you use to calculate how many moles of oxygen gas would be needed to react completely with a given number of moles of aluminum metal? What mole ratio would you use to calculate the number of moles of product that would be expected if a given number of moles of aluminum metal reacts completely?

Interpretation Introduction

Interpretation:

According to the given balanced chemical equation, mole ratios that should be used to calculate moles of oxygen needed to react completely with a given number of moles of aluminum metal and to calculate moles of product expected if a given number of moles of aluminum metal reacts completely should be indicated.

Concept Introduction:

Balanced chemical equation shows us identities of reactants and products and how much reactants and products participate in the reaction. The coefficients in the balanced equation enable us to calculate how much product we can get from a given quantity of reactant or to get a definite amount of product, how much reactants we need. The ratio of these coefficients is the useful one, not the individual coefficient. This ratio is known as Mole ratio. We need to obtain the correct mole ratio that cancel the chemical formula that we doesn’t need in the final answer and keep the formula.

### Explanation of Solution

To calculate the number of moles of oxygen that would be needed to react completely with given number of moles of aluminum, we need to find a relationship between Al and O2. According to the balanced equation we can develop a equivalence statement that,

4 mol Al = 3 mol O2

From above equivalence statement we need to obtain the correct conversion factor or mole ratio that cancel the chemical formula that we doesn’t need in the final answer and keep the formula we need. So, the correct mole ratio is 3 mol O24 mol&#

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