   # Para-cresol, a substance used as a disinfectant and in the manufacture of several herbicides, is a molecule that contains the elements carbon, hydrogen, and oxygen. Complete combustion of a 0.345-g sample of p -cresol produced 0.983 g carbon dioxide and 0.230 g water. Determine the empirical formula for p -cresol. ### 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 155CWP
Textbook Problem
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## Para-cresol, a substance used as a disinfectant and in the manufacture of several herbicides, is a molecule that contains the elements carbon, hydrogen, and oxygen. Complete combustion of a 0.345-g sample of p-cresol produced 0.983 g carbon dioxide and 0.230 g water. Determine the empirical formula for p-cresol.

Interpretation Introduction

Interpretation: The empirical formula of p-cresol is to be stated.

Concept introduction: The empirical formula of an element is defined as the simplest formula that expresses the percentage composition of the element and the molecular formula of an element defines the total number of atoms present in a molecule.

To determine: The empirical formula of p-cresol .

### Explanation of Solution

Explanation

Given

Mass of p-cresol is 0.345 g .

Mass of CO2 is 0.983 g .

Mass of H2O is 0.230 g .

The formula of p-cresol is considered to be CxHyOz as it contains carbon, hydrogen and oxygen.

The balanced chemical equation for the combustion of p-cresol is,

CxHyOz+{x+(y4)z}O2xCO2+(y2)H2O .

The molar mass of CxHyOz from the above equation is 12x+y+16z .

Thus, moles of CxHyOz is calculated by using the expression,

The number of moles is calculated by the formula,

Numberofmoles=GivenmassMolarmass

Substitute the value of the given mass and the molar mass, to calculate the number of moles of p-cresol in the above equation.

Numberofmoles of P-Cresol=GivenmassMolarmass=0.345g12x+y+16zg/mol

The molar mass of CO2 is 44g/mol .

The molar mass of H2O is 18g/mol .

Thus, moles of CO2 is calculated by using the expression,

Numberofmoles=GivenmassMolarmass

Substitute the value of the given mass and the molar mass, to calculate the number of moles of CO2 in the above equation.

Numberofmoles of CO2=GivenmassMolarmass=0.983 g44g/mol=0.0223 mol

Thus, moles of carbon is equal to the moles of CO2 is 0.0223 mol .

The mass of carbon is calculated by using the expression,

Mass=Number of moles×Molar mass

Substitute the value of the number of moles and the molar mass, to calculate the mass of carbon in the above equation.

Mass=Number of moles×Molar mass=0.0223 mol×12 g/mol=0.2676 g

Moles of oxygen is twice of moles of CO2 .

Therefore, moles of oxygen is 2×0.0223mol=0.0446 mol

The mass of oxygen is calculated by using the expression,

Mass=Number of moles×Molar mass

Substitute the value of the number of moles and the molar mass, to calculate the mass of oxygen in the above equation.

Mass=Number of moles×Molar mass=0.0446 mol×16 g/mol=0.7136 g

Now, moles of H2O is calculated by using the expression,

Numberofmoles=GivenmassMolarmass

Substitute the value of the given mass and the molar mass, to calculate the number of moles of H2O in the above equation.

Numberofmoles of H2O=GivenmassMolarmass=0

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