Chapter 2, Problem 68PS

### 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

# A semiconducting material is composed of 52 g of Ga, 9.5 g of Al, and 112 g of As. Which element has the largest number of atoms in this material?

Interpretation Introduction

Interpretation:

The elements in given semiconductor sample is needed to be arranged in the order of smallest to largest in numbers of atoms.

Concept introduction:

Molar masses of Ga, Al, and As are 69.7g, 26.9g and 74.9 respectively.

• Conversion formula for mass of an atom into number moles,

Numberofmoles=MassingramsMolarmass

• Equation for finding number of atoms from number of moles of an atom,

Numberofatoms=numberofmolesofatom×6.022×1023atoms/mol

Explanation

Conversion formula for mass of an atom into number moles,

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

The masses of elements in the sample are different. Masses of Ga,Â AlÂ andÂ AsÂ inÂ sampleÂ areÂ 52g,Â 9.5gÂ andÂ 112g respectively.

Therefore,

The number of moles gallium is,

â€‚Â Numberâ€‰ofâ€‰molesâ€‰â€‰=â€‰â€‰52â€‰69.7â€‰â€‰=â€‰â€‰0.746â€‰mol

The number of moles aluminum is,

â€‚Â Numberâ€‰ofâ€‰molesâ€‰â€‰=â€‰â€‰9.5â€‰26.9â€‰â€‰=â€‰â€‰0.353â€‰mol

The number of moles arsenic is,

â€‚Â Numberâ€‰ofâ€‰molesâ€‰â€‰=â€‰â€‰112â€‰74

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