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Silver froms ccp lattice and X-ray studi...

Silver froms ccp lattice and `X`-ray studies of its crystals show that the edge length of its unit cell is `408.6` pm. Calculate the density of silver (atomic mass `= 107.9 u`).

Text Solution

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Since the lattice is ccp, the number of silver atoms per unit cell (Z) = 4.
Molar mass of silver `(M) = 107.9 u = 107.9 ,mol^(-1)`.
Edge length of unit cell (a) = 408.6 pm = 408.6.
`"Density",rho=(Z.M.)/(a^(3).N)=(4xx(107.9xx"1 g mol"^(-1)))/((408.6)^(3)(6.022xx10^(23)"mol"^(-1))xx(10^(-30)"cm"^(3)))=10.5"g cm"^(-3)`
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