Problems01 - Chapter 1 Problems 1, 2, 3 = straightforward,...
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Chapter 1 Problems
= straightforward, intermediate,
Section 1.2 Matter and Model-Building
: Consult the endpapers, appendices, and
tables in the text whenever necessary in solving
problems. For this chapter, Appendix B.3 may
be particularly useful. Answers to odd-
numbered problems appear in the back of the
A crystalline solid consists of atoms
stacked up in a repeating lattice structure.
Consider a crystal as shown in Figure P1.1a.
The atoms reside at the corners of cubes of side
= 0.200 nm. One piece of evidence for the
regular arrangement of atoms comes from the
flat surfaces along which a crystal separates, or
cleaves, when it is broken. Suppose this crystal
cleaves along a face diagonal, as shown in
Figure P1.1b. Calculate the spacing
two adjacent atomic planes that separate when
the crystal cleaves.
Section 1.3 Density and Atomic Mass
Use information on the endpapers of this
book to calculate the average density of the
Earth. Where does the value fit among those
listed in Tables 1.5 and 14.1? Look up the
density of a typical surface rock like granite in
another source and compare also to it.
The standard kilogram is a platinum-
iridium cylinder 39.0 mm in height and 39.0
mm in diameter. What is the density of the
A major motor company displays a die-
cast model of its first automobile, made from
9.35 kg of iron. To celebrate its hundredth year
in business, a worker will recast the model in
gold from the original dies. What mass of gold
is needed to make the new model?
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What mass of a material with density
is required to make a hollow spherical shell
having inner radius
and outer radius
Two spheres are cut from a certain
uniform rock. One has radius 4.50 cm. The
mass of the other is five times greater. Find its
Calculate the mass of an atom of (a)
helium, (b) iron, and (c) lead. Give your
answers in grams. The atomic masses of these
atoms are 4.00 u, 55.9 u, and 207 u,
The paragraph preceding Example 1.1 in
the text mentions that the atomic mass of
27.0 u = 27.0
kg. Example 1.1
itself says that 27.0 g of aluminum contains 6.02
atoms. (a) Prove that each one of these
two statements implies the other. (b)
What if it’s not aluminum? Let
numerical value of the mass of one atom of any
chemical element in atomic mass units. Prove
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