Question:
Metal M crystallizes into a fcc lattice with the edge length of \(4.0 × 10^{–8} cm\). The atomic mass of the metal is _______ g/mol. (Nearest integer) (Use :\( N_A=6.02×10^{23} mol^{-1}\),density of metal , \(M = 9.03 g cm^{- 3}\))
Metal M crystallizes into a fcc lattice with the edge length of \(4.0 × 10^{–8} cm\). The atomic mass of the metal is _______ g/mol. (Nearest integer)
(Use :\( N_A=6.02×10^{23} mol^{-1}\),density of metal , \(M = 9.03 g cm^{- 3}\))
Updated On: Sep 9, 2024
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Solution and Explanation
a= 4×10-8 cm
d=9.03g/ml
\(\frac{ZM}{N_Aa^3}\)
\(M= \frac{9.03×6.02×10^{23}×64×10^{-24}}{4}=86.97\) ≈ 87
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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.