Chapter 2, Problem 111GQ

### 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

# Put the following elements in order from smallest to largest mass:(a) 3.79 × 1024 atoms Fe(b) 19.921 mol H2(c) 8.576 mol C(d) 7.4 mol Si(e) 9.221 mol Na(f) 4.07 × 1024 atoms Al(g) 9.2 mol Cl2

Interpretation Introduction

Interpretation:

The given elements are needed to be arranged in order from smallest to largest mass.

Concept introduction:

Molar masses of Fe,H2, C, Si, Na, Al andCl2 are

55.8g, 2.01g, 12.01g, 28.08g, 23g, 27g and 39g  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

(a) 3.79Ã—1024â€‰atomsâ€‰Fe

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

â€‚Â Numberâ€‰ofâ€‰atomsâ€‰=â€‰Massâ€‰inâ€‰gramsâ€‰Molarâ€‰massâ€‰Ã—â€‰6.022Ã—1023atoms/mol

Therefore,

The mass of Fe in the given amount is,Â Â Â

Â Â Â Â 3.79Ã—1024â€‰atoms6.022Ã—1023atoms/molâ€‰Ã—â€‰55.845g/molâ€‰=â€‰351g

(b) 19.921â€‰molâ€‰H2

Conversion formula for number moles of a molecule into mass,

Â Â Â Â Numberâ€‰ofâ€‰molesâ€‰Ã—Molarâ€‰massâ€‰=â€‰â€‰Massâ€‰inâ€‰grams

Therefore,

The mass of H2 in the given amount is,

Â Â Â Â 19.921â€‰molâ€‰â€‰Ã—2.01g/mol=â€‰â€‰40.04g

(c) 8.576â€‰molâ€‰C

Conversion formula for number moles of an atom into mass,

Â Â Â Â Numberâ€‰ofâ€‰molesâ€‰Ã—Molarâ€‰massâ€‰=â€‰â€‰Massâ€‰inâ€‰grams

Therefore,

The mass of C in the given amount is,

Â Â Â Â 8.576â€‰molâ€‰â€‰Ã—12.01g/mol=â€‰â€‰103g

(d) 7.4â€‰molâ€‰Si

Conversion formula for number moles of an atom into mass,

Â Â Â Â Numberâ€‰ofâ€‰molesâ€‰Ã—Molarâ€‰massâ€‰=â€‰â€‰Massâ€‰inâ€‰grams

Therefore,

The mass of silicon in the given amount is,

Â Â Â Â 7.4â€‰molâ€‰â€‰Ã—28.08g/mol=â€‰â€‰208g

(e) 9.221â€‰molâ€‰Na

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

Â Â Â Â Numberâ€‰ofâ€‰molesâ€‰Ã—Molarâ€‰massâ€‰=â€‰â€‰Massâ€‰inâ€‰grams

Therefore,

The mass of sodium in the given amount is,

Â Â Â Â 9

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