I have a unit cube question to which the answer is given that I'm trying to figure out. The question is:

If under conditions of high pressure & temperature, the crystalline structure rearranges to form a face-centered cubic unit cell, what is the new density of the substance?

Answer: 11.20 g/cm^3

Obviously this is a multi-part problem; I have solved the other parts and here is the releveant info:

As a body centered cubic unit cell:

side length= 3.14 Angstroms (3.14*10^-8 cm)

density: 10.28 g/cm^3

radius 1.36 Angstroms (1.36*10^-8 cm)
molar mass= 95.94 g/mol

And of course for body centered cells:

4r=3^(1/2)s
AND
2 atoms/1 cell

face centered cubic unit cells have 4 atoms/cell

I tried [mass(element in g/mol)*(# elements/cell)(1/Avogadro's #)]/(s(cm)^3)
in the sense that this would (I thought) give me:
mass of cell(grams)/volume cell (cm^3)

but I get an answer of over 700 so I obviously went wrong somewhere.

1 answer

mass unit cell = 95.94*4/6.022E23 = ??
volume = a^3
a = 4r/sqrt 2.
I get 11.19
Similar Questions
    1. answers icon 3 answers
  1. Volume Unit Test11 of 1511 of 15 Items Volume Unit Test 11 of 1511 of 15 Items Question Use the image to answer the question. An
    1. answers icon 1 answer
  2. Volume Unit Test11 of 1511 of 15 Items Question Use the image to answer the question. An illustration shows a rectangular prism
    1. answers icon 1 answer
  3. Volume Unit Test9 of 159 of 15 Items Question Use the image to answer the question. An illustration shows a rectangular prism
    1. answers icon 1 answer
more similar questions