Calculate the density of silver which cr...

Calculate the density of silver which crystallises in face-centred cubic from. The distance between nearest metal atoms is 287 pm (Molar mass of Ag = `107.87gmol^(-1),(N_(0)=6.022xx10^(23)mol^(-1))`.

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The correct Answer is:

`10.71 "g cm"^(-3)`

For FCC, `d=a/sqrt2` or a=`sqrt2`d=1414 x 287 pm = 406 pm , Z=4, M=`107. 87 "g mol"^(-1)`
`rho=(ZxxM)/(a^3xxN_0)=(4xx107.87 "g mol"^(-1))/((406xx10^(-10) cm)^3xx(6.02xx10^23 mol^(-1)))=10.71 g cm^(-3)`

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