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Q.

The atomic fraction (d) of tin in bronze (fcc) with a density of 7717 kgm-3 and a lattice parameter of3.903 Ao is (A.t wt. Cu = 63.54, Sn = 118.7, 1 amu = 1.66x 10-27kg)

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a

0.01

b

0.05

c

0.10

d

3.8

answer is B.

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Detailed Solution

d=( Number of atom of each kind )×Mw of each kind ×1.66×1027kga3
7717kgm3=( Number of Sn atoms )×118.7×1.66×1027+( Number of Cu atoms )×63.54×1.66×10273.903×10103m3
276.4=nSn(118.7)+nCu(63.54)4.35=1.86nSn+nCunCu=4nSn=0.188
Atomic fraction = nSnnSn+nCu=0.05

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