positions in a ccp/fcc lattice of copper. a. Prove mathematically that identical atoms in a ccp/fcc structure occupy 74.0% of the space when considered as hard spheres of radius r. 4 Volume of a sphere = V =Tr³ 3 a b. Use the metallic radius of copper (128 pm) and its atomic weight (63.456 amu) to calculate the density of pure copper metal in g/cm³. Given that the atomic weight of tin is 118.71 amu, and assuming that its metallic radius is identical to that of copper in the alloy, calculate the density of speculum metal. С.

Chemistry: Principles and Practice
3rd Edition
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Chapter11: Liquids And Solids
Section: Chapter Questions
Problem 11.87QE
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"Speculum metal" is a form of bronze composed of 2 parts copper and 1 part tin, which
can be polished to a highly reflective colorless surface-because of this property, speculum metal
was used for centuries to make mirrors. In the alloy structure, tin atoms substitute 1/3 of the
positions in a ccp/fcc lattice of copper.
Prove mathematically that identical atoms in a ccp/fcc
structure occupy 74.0% of the space when considered as
hard spheres of radius r.
Volume of a sphere = V =nr3
%3D
a
b. Use the metallic radius of copper (128 pm) and its atomic
weight (63.456 amu) to calculate the density of pure
copper metal in g/cm³.
Given that the atomic weight of tin is 118.71 amu, and
assuming that its metallic radius is identical to that of
copper in the alloy, calculate the density of speculum metal.
С.
Transcribed Image Text:"Speculum metal" is a form of bronze composed of 2 parts copper and 1 part tin, which can be polished to a highly reflective colorless surface-because of this property, speculum metal was used for centuries to make mirrors. In the alloy structure, tin atoms substitute 1/3 of the positions in a ccp/fcc lattice of copper. Prove mathematically that identical atoms in a ccp/fcc structure occupy 74.0% of the space when considered as hard spheres of radius r. Volume of a sphere = V =nr3 %3D a b. Use the metallic radius of copper (128 pm) and its atomic weight (63.456 amu) to calculate the density of pure copper metal in g/cm³. Given that the atomic weight of tin is 118.71 amu, and assuming that its metallic radius is identical to that of copper in the alloy, calculate the density of speculum metal. С.
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