Please correct answer and don't use hand rating Metallic silver crystallizes in a face-centered cubic lattice, with one Ag atom per lattice point. If the metallic radius of Ag is144.5 pm, what is the volume of the unit cell?(a) in pm³40✓(b) in cm³4.0✓Pm3cm3

Step 1: Face-centered cubic (FCC) structure:In a FCC lattice, each unit cell contains 8 corner atoms…

Answered: Metallic silver crystallizes in a…

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 11.74QE

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(b) Using the Crystallographer's formula to determine the density (in g/cm³) of Po: ρ = Σ Ζ * Μ Vell* N You must know that a primitive cubic cell has Z = 1 Since Po is a metal, the value of "i" = 1, since it's the only entity! MM of Po= 208.998 g/mol Vcell (in cm³) = a³ Vcell (3.36 x 10-8 cm)³ = 3.793 x 10-23 cm³ N = 6.022 x 1023 atoms/mol Thus: p = (1 atom/cell) (208.998 g/mol) = 9.16 g/cm³ (3.793 x 10-23 cm³) (6.022 x 1023)

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Metallic silver crystallizes in a face-centered cubic lattice, with one Ag atom per lattice point. If the metallic radius of Ag is 144.5 pm, what is the volume of the unit cell? (a) in pm³ 40✓ (b) in cm³ 4.0✓ Pm3 cm3