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Barium has a body centered cubic unit ce...

Barium has a body centered cubic unit cell with a length of 508pm along an edge. What is the density of barium in g `cm^(-3)`?

Text Solution

Verified by Experts

`rho=(nM)/(a^3N_A)`
In this case, `n=2,M=137.3" g mol"^(-1),a=508pm=5.08xx10^(-8)` cm
`rho=(2" atoms"xx137.3"g mol"^(-4))/((5.08xx10^(-8)cm)^3(6.023xx10^(23)" atoms mol"^(-1))`
`rho=(2xx137.2)/((5.08)^3xx6xx0.23xx10^(23))g cm^(-3)`
`rho`=3.5 g `cm^(-3)`
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Knowledge Check

  • CsCl has bcc arragement, its unit cell edge length is 400 pm , its inter atomic distance is :

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