QJEEM19Che786: JEE Main 2019 Chemistry - Class 12 JEEM19Che786 Solution: At 100 o C, copper (Cu) has FCC unit cell structure with cell…

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At 100^oC, copper (Cu) has FCC unit cell structure with cell edge length of x

\overset{o}{A}

. What is the approximate density of Cu (in g cm^{$-$ 3}) at this temperature?
[Atomic Mass of Cu = 63.55 u]

Accepted Answer

FCC unit cell Z

=

4

We know,

d =

Z \times \frac{M}{N_{A} \times a^{3}}

d = \frac{63.5 \times 4}{6 \times 10^{23} \times x^{3} \times 10^{- 24}} g / c m^{3}

d = \frac{63.5 \times 4 \times 10}{6} g / c m^{3}

d = \frac{423.33}{x^{3}} ≃ (\frac{422}{x^{3}})

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