   # Adipic acid is an organic compound composed of 49.31% C, 43.79% O, and the rest hydrogen. If the molar mass of adipic acid is 146.1 g/mol, what are the empirical and molecular formulas for adipic acid? ### 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 134AE
Textbook Problem
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## Adipic acid is an organic compound composed of 49.31% C, 43.79% O, and the rest hydrogen. If the molar mass of adipic acid is 146.1 g/mol, what are the empirical and molecular formulas for adipic acid?

Interpretation Introduction

Interpretation: The mass percentage of different elements in the compound adipic acid is given. Its empirical formula and molecular formula is to be calculated.

Concept introduction: The total number of molecules existing in a compound is depicted by the molecular formula of a compound, whereas the empirical formula of a compound gives the simplest ratio of elements present in a compound.

To determine: The empirical and molecular formula of adipic acid.

### Explanation of Solution

To determine: The empirical formula of adipic acid.

Given

Mass percent of carbon in adipic acid is 49.31% .

Mass percent of oxygen in adipic acid is 43.79% .

Mass percent of hydrogen in adipic acid is (10049.3143.79)%=6.90% .

The atomic mass of carbon is 12g/mol .

The atomic mass of oxygen is 16g/mol .

The atomic mass of hydrogen is 1g/mol .

Formula

The number of moles is calculated using the formula (assuming the sample to be 100g ),

Numberofmoles=GivenmasspercentAtomicmassofthesubstance

Substitute the values of given mass and the molar mass in the above expression.

Numberofmolesofcarbon=(49.3112)mol=4.11mol

Numberofmolesofoxygen=(43.7916)mol=2.74mol

Numberofmolesofhydrogen=(6.901)mol=6.90mol

The calculated values are divided by the smallest number of moles to determine the simplest whole number ratio of moles of each constituent,

For carbon (C) ,

C=4.11mol2.74mol=1.5

For oxygen (O) ,

O=2

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