Question:
At $100^{\circ} \,C$, copper $(Cu)$ has $FCC$ unit cell structure with cell edge length of $x\, ?$ What is the approximate density of $Cu$ (in $g\, cm^{-3})$ at this temperature ?
[Atomic Mass of $Cu = 63.55\,u]$
At $100^{\circ} \,C$, copper $(Cu)$ has $FCC$ unit cell structure with cell edge length of $x\, ?$ What is the approximate density of $Cu$ (in $g\, cm^{-3})$ at this temperature ?
[Atomic Mass of $Cu = 63.55\,u]$
Updated On: Jul 15, 2024
- $\frac{105}{x^3}$
- $\frac{211}{x^3}$
- $\frac{205}{x^3}$
- $\frac{422}{x^3}$
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The Correct Option is D
Solution and Explanation
FCC unit cell $Z = 4$
$d = \frac{63.5 \times4}{6 \times10^{23} \times x^{3} \times10^{-24}} g/cm^{3} $
$ d = \frac{63.5\times4 \times10}{6} g/cm^{3} $
$ d = \frac{423.33}{x^{3}} \simeq \left(\frac{422}{x^{3}}\right) $
$d = \frac{63.5 \times4}{6 \times10^{23} \times x^{3} \times10^{-24}} g/cm^{3} $
$ d = \frac{63.5\times4 \times10}{6} g/cm^{3} $
$ d = \frac{423.33}{x^{3}} \simeq \left(\frac{422}{x^{3}}\right) $
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Concepts Used:
Solid State
Solids are substances that are featured by a definite shape, volume, and high density. In the solid-state, the composed particles are arranged in several manners. Solid-state, in simple terms, means "no moving parts." Thus solid-state electronic devices are the ones inclusive of solid components that don’t change their position. Solid is a state of matter where the composed particles are arranged close to each other. The composed particles can be either atoms, molecules, or ions.
Types of Solids:
Based on the nature of the order that is present in the arrangement of their constituent particles solids can be divided into two types;
- Amorphous solids behave the same as super cool liquids due to the arrangement of constituent particles in short-range order. They are isotropic and have a broad melting point (range is about greater than 5°C).
- Crystalline solids have a fixed shape and the constituent particles are arranged in a long-range order.