   Chapter 12, Problem 67SCQ

Chapter
Section
Textbook Problem

Two identical swimming pools are filled with uniform spheres of ice packed as closely as possible. The spheres in the first pool are the size of grains of sand; those in the second pool are the size of oranges. The ice in both pools melts. In which pool, if either, will the water level be higher? (Ignore any differences in filling space at the planes next to the walls and bottom.)

Interpretation Introduction

Interpretation:

The volume of the atom contained in the sphere has to be identified.

Concept introduction:

The face center cubic arrangements are like

a = b = c,

α=β=γ=90o

An important feature of a crystal structure is the nearest distance between nearest neighbor distance and face center cubic.

Explanation

Assuming the sphere are packed in identical way, the water level are same. As the face center cubic arrangements are like

a = b = c,

α=β=γ=90o

An important feature of a crystal structure is the nearest distance between nearest neighbor distance and face center cubic.

The distance is a2 For example a face center cubic lattice the volume of the atoms contained within the interior of the cells, first start with the diagram of a diagonal which passes through the atom at the center of the face.

The diagram is shown below,

x2=a2+a2x2=2a2x=2aletx=</

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