A compound has fcc structure. If density of unit cell is 3 ⋅ 4 g cm − 3 , what is the edge length of unit cell? (Molar mass = 98.99 )

(D) n = 4 , ρ = 3.4 g cm − 3 , M = 98.99 , a = ? a 3 = ρ × N A n × M = 3.4 × 6.022 × 1 0 23 4 × 98.99 a 3 = 193.4 × 1 0 − 24 cm 3 ∴ a = 5.783 × 1 0 − 8 cm ∴ a = 5.783 A ˚

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Chemistry - Solid State Question with Solution | TestHub

ChemistrySolid StateCubic CrystalsEasy2 minPYQ_2020

ChemistryEasysingle choice

A compound has fcc structure. If density of unit cell is $3 \cdot 4 g cm^{- 3}$ , what is the edge length of unit cell? (Molar mass $= 98.99$ )

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Answer:

Solution:

(D) $n = 4, ρ = 3.4 g cm^{- 3}, M = 98.99, a = ? a^{3} = \frac{n \times M}{ρ \times N _{A}} = \frac{4 \times 98.99}{3.4 \times 6.022 \times 1 0 ^{23}} a^{3} = 193.4 \times 1 0^{- 24} cm^{3} ∴ a = 5.783 \times 1 0^{- 8} cm ∴ a = 5.783 \overset{˚}{A}$

Stream:MHT_CETSubject:ChemistryTopic:Solid StateSubtopic:Cubic Crystals

⏱ 2mℹ️ Source: PYQ_2020

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