Chemistry - Solid State Question with Solution | TestHub

ChemistrySolid StateCubic CrystalsMedium2 minPYQ_2017
ChemistryMediumnumerical

A crystalline solid of a pure substance has a face-centred cubic structure with a cell edge of400 pm. If the density of the substance in the crystal is8 g cm-3, then the number of atoms present in256 gof the crystalis N × 1024. The value ofN is

Answer:
2.00
Solution:

Formula of density =Z×MNA×a3

For FCC unit cell Z,=4

Edge length, a=4×10-8 cm

M=d×NA×a3Z=8×6×1023×64×10-244 g/mol

Number of atoms =wtgmolar mass×NA=256×10×6×10238×6×16=2×1024 

  Hence, the required value of  N = 2

Stream:JEE_ADVSubject:ChemistryTopic:Solid StateSubtopic:Cubic Crystals
2mℹ️ Source: PYQ_2017

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