The volume of simple unit cell is x 10^ -23 cm^3 . Calculate the value of x if volume occupied by a particle in it is 2.1 10^ -23 cm^3 .

MHT CET 2025 Chemistry question

Not in JEE Main or NEET syllabus

The volume of simple unit cell is . Calculate the value of if volume occupied by a particle in it is .

(A)3.0
(B)3.5
(C)4.0Correct
(D)4.5

Answer: (C)

Solution

A simple (primitive) cubic unit cell contains particle and its packing efficiency is (52.4%). Packing efficiency \dfrac{volume occupied by particles}{volume of unit cell}$ =

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Question ID VK-100566