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ChemistryChemistry: An Atoms First Approach2nd Edition
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Aspirin (C 9 H 8 O 4 ) is synthesized by reacting salicylic acid (C 7 H 6 O 3 ) with acetic anhydride (C 4 H 6 O 3 ). The balanced equation is C 7 H 6 O 3 + C 4 H 6 O 3 → C 9 H 8 O 4 + HC 2 H 3 O 2 a. What mass of acetic anhydride is needed to completely consume 1.00 × 10 2 g salicylic acid? b. What is the maximum mass of aspirin (the theoretical yield) that could be produced in this reaction?

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Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

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Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 5, Problem 110E
Textbook Problem
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Aspirin (C9H8O4) is synthesized by reacting salicylic acid (C7H6O3) with acetic anhydride (C4H6O3). The balanced equation is

C 7 H 6 O 3 +   C 4 H 6 O 3 → C 9 H 8 O 4   +   HC 2 H 3 O 2

a. What mass of acetic anhydride is needed to completely consume 1.00 × 102 g salicylic acid?

b. What is the maximum mass of aspirin (the theoretical yield) that could be produced in this reaction?

(a)

Interpretation Introduction

Interpretation: The mass of acetic anhydride needed for consumption of 1.0×102 g salicylic acid and the theoretical mass of aspirin that can be produced from the given chemical process is to be calculated.

Concept introduction: The mass of a substance can be obtained by using the number of moles of the substance present and its molar mass. The formula used to calculate the mass of a given substance is,

Mass of the substance=(Number of moles)×(Molar mass of the substance)

To determine: The mass of acetic anhydride required for the consumption of 1.0×102 g salicylic acid.

Explanation of Solution

Given

The stated chemical equation is,

C7H6O3+C4H6O3→C9H8O4+HC2H3O2

The given mass of salicylic acid is 1.0×102 g .

Molar mass of salicylic acid (C7H6O3) =7C+6H+3O=((7×12)+(6×1)+(3×16)) g/mol=138 g/mol

Formula

The number of moles of a substance is calculated by the formula,

Number of moles=Given mass of the substanceAtomic mass of the substance

Substitute the value of the given mass and the atomic mass of C7H6O3 in the above expression.

Number of moles of C7H6O3=1.0×102 g138 g/mol=0.724 mol

According to the stated chemical equation,

1 mol of C7H6O3 reacts with C4H6O3 =1 mol

0

(b)

Interpretation Introduction

Interpretation: The mass of acetic anhydride needed for consumption of 1.0×102 g salicylic acid and the theoretical mass of aspirin that can be produced from the given chemical process is to be calculated.

Concept introduction: The mass of a substance can be obtained by using the number of moles of the substance present and its molar mass. The formula used to calculate the mass of a given substance is,

Mass of the substance=(Number of moles)×(Molar mass of the substance)

To determine: The theoretical mass of aspirin that can be produced from the given chemical process.

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