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  • Silver metal crystallises with a face centred cubic lattice. The length of the unit cell is found to be . Calculate atomic ra

Silver metal crystallises with a face centred cubic lattice. The length of the unit cell is found to be 3.0 \times 10 ^{-8} cm. Calculate atomic radius and density of silver.

(molar mass of Ag = 108 g mol-1, N_A = 6.02\times 10^{23} \text{mol}^{-1})

 

 

 

 
 
 
 
 

Answers (1)

Edge = 3\times 10^{-8} \ cm

in fcc , z = 4

Atomic radius = ?

Density = ?

M of Ag = 108 g/mol

r = \frac{a\sqrt2}{4}

     = \frac{3\times 10^{-8\times }\sqrt2}{4}

    = 1.06\times 10^{-6} \ cm

d = \frac{z\times M}{a^3\times N_A}

     = \frac{4\times 108 }{(3\times 10^{-8})^3\times 6.02\times 10^{23}}

    = 2.66\times 10 \ g/cm^3

    = 26.6 \ g/cm^3

Posted by

Sumit Saini

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