Chemistry - Solid State Question with Solution | TestHub

ChemistrySolid StateCubic CrystalsMedium2 minQB

ChemistryMediumsingle choice

Passage / Comprehension

Packing fraction of a unit cell is defined as the fraction of the total volume of the unit cell occupied by the atom(s).

P.F. $= \frac{V o l u m e \circ fth e a t o m ( s ) p rese n t ina u ni t ce ll}{V o l u m eo f u ni t ce ll} = \frac{z \times \frac{4}{3} π r ^{3}}{( a ) ^{3}}$

and % of empty space = $= 100 - P . F . \times 100$

Where:

$Z$ = effective number of atoms in a cube.

$r$ = radius of an atom.

$a$ = edge length of the cube.

% of empty space in body centered cubic unit cell is nearly ?

Options:

Answer:

Solution:

P.F. $= \frac{24 \times \frac{4}{3} π r ^{3}}{( \frac{4 r}{3} ) ^{3}} ≃ 0.68$

$%$ of empty space $= 100 - 0.68 \times 100 = 32$ .

Stream:JEESubject:ChemistryTopic:Solid StateSubtopic:Cubic Crystals

⏱ 2mℹ️ Source: QB

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