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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:
578 pm
`d=a/sqrt2 or a = sqrt2d = 1.414 xx 287 " pm " 406 " pm " , Z = 4 , M = 107 . 87 " g mol"^(-1)`
` p = ( Z xx M)/ (a^(3) xx N_(0)) = ( 4 xx 63.5 " g mol" ^(-1))/ ((406 xx 10^(-10) "cm")^(3) xx (6.02 xx 10^(23) "mol"^(-1))) = 10.7o1 " g cm"^(-3)`
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