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KCl has the same crystal structure as NaCl (fcc). a) Calculate the volume of the unit cell for KCl, given that the ionic radii are K+ = 152 pm and Cl- = 167 pm. b) Compute the density of KCl. Show your work. Note: pc: 1 atom/unit cell bcc: 2 atoms/unit cell fcc: 4 atoms/unit cell 1 pm = 1 x 10-10 cm Primitive Cubic (pc): 2 x (atomic radius) = edge Face-Centered Cubic: 4 x (atomic radius) = edge x √2 = face diagonal Body-Centered Cubic: 4 x (atomic radius) = edge x √3 = body diagonal Mass of 1 formula unit (ex. NaCl) x # of formula units per unit cell (ex. 4) = mass of unit cell

KCl has the same crystal structure as NaCl (fcc). a) Calculate the volume of the unit cell for KCl, given that the ionic radii are K+ = 152 pm and Cl- = 167 pm. b) Compute the density of KCl. Show your work. Note: pc: 1 atom/unit cell bcc: 2 atoms/unit cell fcc: 4 atoms/unit cell 1 pm = 1 x 10-10 cm Primitive Cubic (pc): 2 x (atomic radius) = edge Face-Centered Cubic: 4 x (atomic radius) = edge x √2 = face diagonal Body-Centered Cubic: 4 x (atomic radius) = edge x √3 = body diagonal Mass of 1 formula unit (ex. NaCl) x # of formula units per unit cell (ex. 4) = mass of unit cell

Chemistry
Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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KCl has the same crystal structure as NaCl (fcc).

a) Calculate the volume  of the unit cell for KCl, given that the ionic radii are K+ = 152 pm and Cl- = 167 pm.

b) Compute the density of KCl.  Show your work.

 

Note:

  • pc: 1 atom/unit cell
  • bcc: 2 atoms/unit cell
  • fcc: 4 atoms/unit cell

 1 pm = 1 x 10-10 cm

  • Primitive Cubic (pc): 2 x (atomic radius) = edge
  • Face-Centered Cubic: 4 x (atomic radius) = edge x √2 = face diagonal
  • Body-Centered Cubic: 4 x (atomic radius) = edge x √3 = body diagonal

 

Mass of 1 formula unit (ex. NaCl) x # of formula units per unit cell (ex. 4) = mass of unit cell

Mass of unit cell ÷ unit cell volume ( ex. = edge3 for NaCl) = density

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