At 100oC, copper(Cu) has FCC unit cell structure with cell edge length xÅ . What is the approximate density of Cu(in g cm⁻³) at this temperature?
[Atomic mass of Cu = 63.55 u]
(A) 205/x³
(B) 105/x³
(C) 211/x³
(D) 422/x³
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Thus the approximate density of cu at 100° C is d = 423.33 /x^3 g/cm^3
Explanation:
Density of cubic unit cell -
d = zM / a^3No\wherein
Where
- d = density of crystal
- z = no. of effective constituent particles in one unit cell
- M = molecular weight
- a = edge length of unit cell
- No = 6.022*1023
The FCC unit cell has Z = 4
d = 63.5 x 4 / 6 x 10^23 x x^3 x 10^-24 g / cm^3
d = 63.5 x 4 x 10 / 6 x x^3 g / cm^3
d = 423.33 /x^3 g/cm^3
Thus the approximate density of cu at 100° C is d = 423.33 /x^3 g/cm^3
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