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Calculate the Avogadro number from the f...

Calculate the Avogadro number from the following data of AB, when AB has NaCl type structure :
Density of `AB=2.48"g cm"^(-3),m=58"g mol"^(-1)`
Distance between `A^(+)andB^(-)` in AB = 2.69 pm.

Text Solution

Verified by Experts

`"Edge length",a=2xx"Distance between"AandB`
`=2xx2.169"pm"=538"pm"`
`=5.38xx10^(-8)"cm"`
Molar mass, `M=58"g mol"^(-1)`,
`d=2.48"g cm"^(-3),z`
(for f.c.c. lattice) =4
`N_(A)=(ZxxM)/(a^(3)xxd)`
`=(4xx58"g mol"^(-1))/((5.38xx10^(-8))^(3)"cm"^(3)xx2.48"g cm"^(-3))`
`=(232xx10^(24)"mol"^(-1))/(155.73xx2.48)`
`=(2320xx10^(23))/(386.19)="mol"^(-1)`
`=6chi01xx10^(23)"mol"^(-1)`
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