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Topic: Determining Density from Edge Length of an FCC unit Cell  (Read 8395 times)

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Offline kir

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Determining Density from Edge Length of an FCC unit Cell
« on: October 13, 2011, 12:27:13 AM »
Hi, I am stuck on the following: Copper Metal has a fcc unit cell with and edge length of 362pm. What is the Density of the metal in g/cm3?
My professor has given the answer: D=8.99 g/cm3 and I have 8.89 x10^-6g/cm3.
I can't determine where I went wrong:
FCC= 4 atoms per unit cell
362pm(1m/1*10^12pm)(100cm/1m)3= 4.74*10^-29cm3

D= 4(63.5g/mol/6.022*10^23mol) over 4.74*10^-29cm3

Thanks for the help.




Offline Borek

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Re: Determining Density from Edge Length of an FCC unit Cell
« Reply #1 on: October 13, 2011, 02:55:03 AM »
362pm(1m/1*10^12pm)(100cm/1m)3= 4.74*10^-29cm3

Check your math.
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Offline kir

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Re: Determining Density from Edge Length of an FCC unit Cell
« Reply #2 on: October 13, 2011, 10:19:58 AM »
Thanks, I went over and over the problem but still kept missing it!


Offline Wald_ron

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Re: Determining Density from Edge Length of an FCC unit Cell
« Reply #3 on: October 13, 2011, 10:37:37 AM »
Thanks, I went over and over the problem but still kept missing it!



1*102 * 1*10-12 * 1*102 = 1*10-8
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Offline fledarmus

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Re: Determining Density from Edge Length of an FCC unit Cell
« Reply #4 on: October 13, 2011, 11:08:14 AM »
Thanks, I went over and over the problem but still kept missing it!



1*102 * 1*10-12 * 1*102 = 1*10-8

Wald_ron, you left out all the cubes

Offline fledarmus

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Re: Determining Density from Edge Length of an FCC unit Cell
« Reply #5 on: October 13, 2011, 11:10:39 AM »
Thanks, I went over and over the problem but still kept missing it!



It looks like you may have missed a cube in there as well - I get the same number but a different exponent than you got when I run it through my calculater

Offline Borek

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Re: Determining Density from Edge Length of an FCC unit Cell
« Reply #6 on: October 13, 2011, 12:54:13 PM »
It looks like you may have missed a cube in there as well - I get the same number but a different exponent than you got when I run it through my calculater

The cube is there, just written in a way that doesn't make much sense:

362pm(1m/1*10^12pm)(100cm/1m)3= 4.74*10^-29cm3
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Offline fledarmus

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Re: Determining Density from Edge Length of an FCC unit Cell
« Reply #7 on: October 13, 2011, 05:53:39 PM »
It looks like you may have missed a cube in there as well - I get the same number but a different exponent than you got when I run it through my calculater

The cube is there, just written in a way that doesn't make much sense:

362pm(1m/1*10^12pm)(100cm/1m)3= 4.74*10^-29cm3

No, I meant when you punched it into the calculater. I realize you wrote it into the equation, but you seem to be off by a factor of 1003 with your answer.

Offline kir

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Re: Determining Density from Edge Length of an FCC unit Cell
« Reply #8 on: October 13, 2011, 11:44:00 PM »
Sorry I wasn't clear, after the first helpful response this morning, I realized my error. I meant that before posting I went over and over the problem and couldn't figure out where I went wrong!
Thanks

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