Chemistry, asked by ScarletD, 1 year ago

Can someone please help me with this question?

Potassium has a bcc structure with nearest neighbour distance 4.52A°. Its atomic weight is 39. It's density (in kg m^(-3)) will be?

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Answered by Baazigar
7
Use the density formula-
=(Z×M)/a^3×Na

Here Z=2 (bcc) ,
M=39g ,
d=√3a/2 (from here take out the value of 'a'.)

Na is Avogadro No.=6.02×10^23

Get the answer.

ScarletD: some people said that z=4 as it is bcc...
Baazigar: No,FCC=4 and BCC =2
ScarletD: okay thank you so much
ScarletD: ' a ' here is the edge length so 4.52 right?
Baazigar: No,d=4.52,calculate 'a' from the given formula of 'd' and 'a'
Answered by harinimanikandan2002
1

For bcc,d=3–√a2

Or a=2d3–√

⇒2×4.521.732

⇒5.219A∘=522pm

ρ=z×Ma3×NA×10−30

⇒2×39(522)3×6.023×1023×10−30

⇒0.91g/cm3

⇒910kgm−3

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