
To calculate:
a) The radius of the
b) The density of simple cubic
c) The percent empty space in a unit cell of

Answer to Problem 18.94QA
Solution:
a) The radius of the
b)
c) Total volume of empty space
Explanation of Solution
1) Concept:
a)
b) Volume of the unit cell is the cube of the edge length. Using the given value of edge length, we can calculate its volume. Simple cubic has one atom per unit cell. So, using molar mass of
c) The packing efficiency is calculated using volumes of one
2) Formula:
i) bcc:
ii) Simple cubic:
iii) Volume,
iv)
v)
vi)
3) Given:
i)
ii)
4) Calculations:
a) Calculate the radius of
b) Calculate the edge length in cm from
Calculate the volume of simple cubic
Mass of
c) Volume of
Volume of
So, the total volume of
Calculate the volume of simple cubic
Conclusion:
We calculate the radius of the cation from the relation between the edge length and radius. The density of the simple cube is calculated from the edge length. Packing efficiency is calculated from the volume of atoms and volume of unit cell.
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Chapter 18 Solutions
Chemistry: An Atoms-Focused Approach
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