Chapter 2, Problem 75PS

Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

Sulfur trioxide, SO3, is made industrially in enormous quantities by combining oxygen and sulfur dioxide SO2. What amount (moles) of SO3 is represented by 1.00 kg of sulfur trioxide? How many molecules? How many sulfur atoms? How many oxygen atoms?

Interpretation Introduction

Interpretation:

For the given amount of sulfur trioxide, the number of moles, number of molecules and number of sulfur and oxygen atoms are needed to be calculated.

Concept introduction:

• Molar mass of a molecule can be calculated from its molecular formula by taking the sum of atomic masses of all the elements present in it.
• Conversion formula for mass of a molecule into number moles,

Numberofmoles=MassingramsMolarmass

• Conversion formula for number moles of a molecule into mass in grams,

Numberofmoles×Molarmass=Massingrams

• Equation for finding number of molecules from number of moles of a molecule,

Numberofmolecule=numberofmolesofmolecule×6.022×1023molecules/mol

Explanation

The amount of sulfur trioxide is given as 1kgâ€‰=â€‰1000g.

The molar mass of sulfur trioxide is 80.07g.

Conversion formula for mass of a molecule into number moles,

Â Â Â Â Numberâ€‰ofâ€‰molesâ€‰â€‰=â€‰â€‰Massâ€‰inâ€‰gramsâ€‰Molarâ€‰massÂ

Therefore,

The number moles of sulfur trioxide is,

Â Â Â Â Numberâ€‰ofâ€‰molesâ€‰â€‰=â€‰â€‰1000â€‰gâ€‰80.07â€‰g/molâ€‰â€‰=â€‰â€‰12.5â€‰mol

Equation for finding number of molecules from number of moles of a molecule,

Numberâ€‰ofâ€‰moleculeâ€‰=â€‰numberâ€‰ofâ€‰molesâ€‰ofâ€‰moleculeâ€‰Ã—â€‰6.022Ã—1023atoms/mol

Therefore,

The number of molecules in sulfur trioxide is,

Â Â Â Â Numberâ€‰ofâ€‰moleculesâ€‰=â€‰12

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