JEE Main 2021ChemistrySolid StateCrystal Structure Of SolidsmediumNumerical

JEE Main 2021Solid State Question with Solution

From: JEE Main 2021 (Online) 25th February Evening Shift

Question

The unit cell of copper corresponds to a face centered cube of edge length 3.596 with one copper atom at each lattice point. The calculated density of copper in kg/m3 is ___________. [Molar mass of Cu : 63.54 g; Avogadro Number = 6.022 1023]

Enter your answer

Show full solutionCorrect answer: 9076.26
Correct answer
9076.26

Step-by-step explanation

Density of copper,

Given, Z = 4, for fcc lattice,

M = 63.54 g mol1

= 63.54 103 kg mol1,

a = 3.596 = 3.596 1010 m,

NA = 6.022 1023 mol1

On putting given values, we get

kg/m3

kg/m3

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About this question

This is a previous-year question from JEE Main 2021, covering the Solid State chapter of Chemistry. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.