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JEE Main 202228 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
28 July
Shift
Morning Shift
Subject
Chemistry
Chapter
Solid State

JEE Main 2022 · 28 July · Morning Shift · Chemistry · Solid State

An element M crystallises in a body centred cubic unit cell with a...

An element MM crystallises in a body centred cubic unit cell with a cell edge of 300pm300pm. The density of the element is 6.0gcm−36 . 0g{cm}^{- 3}. The number of atoms present in 180g180g of the element is____×1023\times {10}^{23}. (Nearest integer)

Correct answer

0

Step-by-step solution

MM is body centred cubic, ∴Z=2∴ Z = 2

Let mass of 11 atom of MM is AA

Edge length =300pm= 300pm

Density =6g/cm3= 6g / {cm}^{3}

∴6g/cm3=Z×A(300×10−10)3=2×A27×10−24∴ 6g / {cm}^{3} = \dfrac{Z \times A}{{\left(300 \times {10}^{- 10}\right)}^{3}} = \dfrac{2 \times A}{27 \times {10}^{- 24}}

A=81×10−24gA = 81 \times {10}^{- 24}g

Atoms of M=TotalmassMassofoneatom=18081×10−24=22.22×1023≅22×1023M = \dfrac{Totalmass}{Massofoneatom} = \dfrac{180}{81 \times {10}^{- 24}} = 22 . 22 \times {10}^{23} ≅ 22 \times {10}^{23}

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