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Tanay Golla
Asked: 2022-11-11T08:50:54+05:30 In:

Lithium has a bcc structure .Its density is `530 kg m^(-3)` and its atomic mass is `6.94 g mol^(-1)` .Calculate the edge length of a unit cell of lithium metal `(N_(A) = 6.02 xx 10^(23) mol^(-1))`
A. 154pm
B. 352pm
C. 527pm
D. 264pm

Lithium has a bcc structure .Its density is `530 kg m^(-3)` and its atomic mass is `6.94 g mol^(-1)` .Calculate the edge length of a unit cell of lithium metal `(N_(A) = 6.02 xx 10^(23) mol^(-1))`
A. 154pm
B. 352pm
C. 527pm
D. 264pm
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  1. Correct Answer – B
    `rho=(ZxxM)/(N_(A)xxa^(3))`
    For bcc structure
    `Z=2.rho=530kg m^(-3)=0.530 g cm^(-1)`
    `0.530=(2xx6.94)/(6.02xx10^(23)xxa^(3))`
    `a^(3)=4.348xx10^(-23)cm^(3)`
    `a=3.52xx10^(-8)`cm
    a=352pm

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