   # 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? ### Chemistry: An Atoms First Approach

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

#### Solutions

Chapter
Section ### 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 1.0×102g 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,

Massofthesubstance=(Numberofmoles)×(Molarmassofthesubstance)

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

### Explanation of Solution

Given

The stated chemical equation is,

C7H6O3+C4H6O3C9H8O4+HC2H3O2

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

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

Formula

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

Numberofmoles=GivenmassofthesubstanceAtomicmassofthesubstance

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

NumberofmolesofC7H6O3=1.0×102g138g/mol=0.724mol

According to the stated chemical equation,

1mol of C7H6O3 reacts with C4H6O3 =1mol

0

(b)

Interpretation Introduction

Interpretation: The mass of acetic anhydride needed for consumption of 1.0×102g 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,

Massofthesubstance=(Numberofmoles)×(Molarmassofthesubstance)

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

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