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Chapter 1, Problem 61RGQ
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### Chemistry & Chemical Reactivity

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

#### Solutions

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Section
BuyFindarrow_forward

### Chemistry & Chemical Reactivity

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

# Copper:(a) Suppose you have a cube of copper metal that is 0.236 cm on a side with a mass of 0.1206 g. If you know that each copper atom (radius = 128 pm) has a mass of 1.055 × 10–22 g (you will learn in Chapter 2 how to find the mass of one atom), how many atoms are there in this cube? What fraction of the cube is filled with atoms? (Or conversely, how much of the lattice is empty space?) Why is there “empty” space in the lattice?(b) Now look at the smallest, repeating unit of the crystal lattice of copper.Knowing that an edge of this cube is 361.47 pm and the density of copper is 8.960 g/cm3, calculate the number of copper atoms in this smallest, repeating unit.

(a)

Interpretation Introduction

Interpretation:

The number of atoms and the fraction of cube filled in the atoms has to be given.  The reason for the empty space in the lattice has to be explained.

Explanation

The number of atoms and the fraction of cube filled is calculated as,

â€‚Â CalculateÂ theÂ numberÂ ofÂ copperÂ atoms:_Known:Â NumberÂ ofÂ atomsÂ =Â 0.1206Â g1.055Ã—10-22=Â 1.14Ã—1021Â atomsCalculateÂ theÂ fractionÂ ofÂ cubeÂ filledÂ withÂ atoms:_TotalÂ VÂ ofÂ atomsÂ =Â 43Ï€(128Ã—10-12)3m31atomÃ—1

(b)

Interpretation Introduction

Interpretation:

The number of atoms in the smallest repeating unit has to be calculated.

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