Chemistry - Solid State Question with Solution | TestHub

ChemistrySolid StateCubic CrystalsMedium2 minQB

ChemistryMediumsingle choice

Passage / Comprehension

The density of a unit cell is represented as:

$ρ = \frac{E ff ec t i v e n o . o f a t o m ( s ) \times A t o mi c ma ss / f or m u l ama ss}{V o l u m eo f a u ni t ce ll} = \frac{Z \cdot M}{N _{A} \cdot a ^{3}}$

where:

Mass of unit cell = mass of effective no. of atom(s) or ion(s).

$M$ = Atomic mass/formula mass

$N_{A}$ = Avogadro's number $\Rightarrow 6 \times 1 0^{23}$

$a$ = edge length of unit cell

Silver crystallizes in a fcc lattice and has a density of $0.72 g / m^{3}$ . What is the length of an edge of the unit cell ?

Options:

Answer:

Solution:

$10.6 = \frac{4 \times 108}{a ^{3} \times 6.023 \times 1 0 ^{23}}$

$∴ a = 40.7 nm$

Stream:JEESubject:ChemistryTopic:Solid StateSubtopic:Cubic Crystals

⏱ 2mℹ️ Source: QB

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