Sodium crystallizes in bcc structure with radius 1 ⋅ 86 × 1 0 − 8 cm . What is the edge length of unit cell of sodium?

r a = 1.86 × 1 0 − 8 cm = ? For bcc structure, r = 4 3 a ∴ 3 a = 4 r ∴ a = 3 4 r = 3 4 × 1.86 × 1 0 − 8 cm ∴ a = 4.3 × 1 0 − 8 cm

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Chemistry - Solid State Question with Solution | TestHub

ChemistrySolid StateCubic CrystalsEasy2 minPYQ_2020

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Sodium crystallizes in bcc structure with radius $1 \cdot 86 \times 1 0^{- 8} cm$ . What is the edge length of unit cell of sodium?

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Solution:

$r a = 1.86 \times 1 0^{- 8} cm = ?$ For bcc structure, $r = \frac{3}{4} a$ $∴ 3 a = 4 r ∴ a = \frac{4 r}{3} = \frac{4 \times 1.86 \times 1 0 ^{- 8} cm}{3} ∴ a = 4.3 \times 1 0^{- 8} cm$

Stream:MHT_CETSubject:ChemistryTopic:Solid StateSubtopic:Cubic Crystals

⏱ 2mℹ️ Source: PYQ_2020

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