Chemistry - Solid State Question with Solution | TestHub

ChemistrySolid StateCubic CrystalsEasy2 minPYQ_2009

ChemistryEasysingle choice

The cubic unit cell of a metal (molar mass $= 63.55$ $g mol^{- 1}$ ) has and edge length of $362 pm$ . Its density is $8.92 g cm - 3$ . The type of unit cell is

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Answer:

Solution:

Density, $d = \frac{MZ}{N _{0} a ^{3}}$ where, $Z =$ number of atoms in unit cell $∴ Z = \frac{d N _{0} a ^{3}}{M} = \frac{8.92 \times 6.023 \times 1 0 ^{23} \times ( 362 \times 1 0 ^{- 10} ) ^{3}}{63.55} = 4.0$ Thus, metal has face centred unit cell.

Stream:VITEEESubject:ChemistryTopic:Solid StateSubtopic:Cubic Crystals

⏱ 2mℹ️ Source: PYQ_2009

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