Chapter 2, Problem 165SCQ

### 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

# Identify, from the list below, the information needed to calculate the number of atoms in 1.00 cm3 of iron. Outline the procedure used in this calculation.(a) the structure of solid iron(b) the molar mass of iron(c) Avogadro’s number(d) the density of iron(e) the temperature(f) iron’s atomic number(g) the number of iron isotopes

Interpretation Introduction

Interpretation: The information needed to calculate the number of atoms of 1cm3 iron from the given options is to be identified and the procedure for this calculation has to be outlined.

Concept introduction:

Equation for density from volume and mass is,

Density=MassVolume

Equation for finding Volume of cube is,

Volume=a3,asideofcube

Conversion formula for mass of a molecule and number moles,

Numberofmoles=MassingramsMolarmass

Equation for number of atoms is,

Number of moles×6.022×1023atoms=number of atoms

Explanation

Reason for correct option:

The value of volume of iron is given, so the mass of iron can be calculated by using the equation of density from volume and mass.

Hence,

Option (d) the density of iron is required.

The number of moles of atom can be calculated from mass of atom and molar mass,

Numberâ€‰ofâ€‰molesâ€‰â€‰=â€‰â€‰Massâ€‰inâ€‰gramsâ€‰Molarâ€‰mass

Hence,

Option (b) the molar mass of iron is required.

Equation for number of atoms is,

Â Â Â Â NumberÂ ofÂ molesâ€‰Ã—6.022â€‰Ã—â€‰1023â€‰atomsâ€‰â€‰=â€‰â€‰â€‰numberÂ ofÂ atoms

Hence,

Option (c) Avogadroâ€™s number is required.

The outline of procedure for the calculation of number of atoms is,

â€‚Â 1â€‰cm3Ã—densityâ€‰(g/cm3)Ã—1â€‰molmolarâ€‰massâ€‰(g)â€‰Ã—â€‰6

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