At 100° C, copper (Cu) has FCC unit cell structure with cell edge length of x mathringA What is the approximate density of Cu (in g cm-3) at this temperature ? [Atomic Mass of Cu = 63.55 u]

Question

At 100° C, copper (Cu) has FCC unit cell structure with cell edge length of x mathringA What is the approximate density of Cu (in g cm-3) at this temperature ? [Atomic Mass of Cu = 63.55 u] (A) (105/x3) (B) (211/x3) (C) (205/x3) (D) (422/x3)

Tardigrade Admin · Accepted Answer

FCC unit cell Z = 4 d = (63.5 ×4/6 ×1023 × x3 ×10-24) g/cm3 d = (63.5×4 ×10/6) g/cm3 d = (423.33/x3) ≃ ((422/x3))

Q. At $10 0^{\circ} C$ , copper $(C u)$ has $FCC$ unit cell structure with cell edge length of $x \overset{˚}{A}$ What is the approximate density of $C u$ (in $g c m^{- 3})$ at this temperature ?
[Atomic Mass of $C u = 63.55 u]$

$\frac{105}{x ^{3}}$

$\frac{211}{x ^{3}}$

$\frac{205}{x ^{3}}$

$\frac{422}{x ^{3}}$

FCC unit cell $Z = 4$
$d = \frac{63.5 \times 4}{6 \times 1 0 ^{23} \times x ^{3} \times 1 0 ^{- 24}} g / c m^{3}$
$d = \frac{63.5 \times 4 \times 10}{6} g / c m^{3}$
$d = \frac{423.33}{x ^{3}} ≃ (\frac{422}{x ^{3}})$

Q. At 100∘C, copper (Cu) has FCC unit cell structure with cell edge length of xA˚ What is the approximate density of Cu (in gcm−3) at this temperature ? [Atomic Mass of Cu=63.55u]

x3105​

x3211​

x3205​

x3422​