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JEE Main 202330 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
30 January
Shift
Evening Shift
Subject
Chemistry
Chapter
Solid State

JEE Main 2023 · 30 January · Evening Shift · Chemistry · Solid State

Iron oxide FeO , crystallises in a cubic lattice with a unit cell...

Iron oxide FeOFeO, crystallises in a cubic lattice with a unit cell edge length of 5.0Å5 . 0 Å. If density of the FeOFeO in the crystal is 4.0gcm−34 . 0g{cm}^{- 3}, then the number of FeOFeO units present per unit cell is _____ (Nearest integer)

Given : Molar mass of FeFe and OO is 5656 and 16g16g mol−1{mol}^{- 1} respectively.
NA=6.0×1023mol−1{N}_{A} = 6 . 0 \times {10}^{23}{mol}^{- 1}

Correct answer

0

Step-by-step solution

The density of the crystal can be calculated as follows,

d=Z×MN0×a3d = \dfrac{Z \times M}{{N}_{0} \times {a}^{3}}

d=densityZ=effectivenumberofatomsM=MolarmassN0=Avogadro′snumbera=Edgelengthd = densityZ = effectivenumberofatomsM = Molarmass{N}_{0} = Avogadro ' snumbera = Edgelength

4=Z×726×1023×125×10−244 = \dfrac{Z \times 72}{6 \times {10}^{23} \times 125 \times {10}^{- 24}}

Z=4.166≃4Z = 4 . 166 ≃ 4

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