An element M crystallises in a body centred cubic unit cell with a cell edge of 300 pm. The density of the element is 6.0 g cm^ -3 . The number of atoms present in 180 g of the element is _____ 10^ -3 . (Nearest integer)

JEE Main 2022 Chemistry question

An element M crystallises in a body centred cubic unit cell with a cell edge of 300 pm. The density of the element is 6.0 g . The number of atoms present in 180 g of the element is . (Nearest integer)

Answer: 22

Solution

The cell edge is a = 300 pm = cm, so the volume of the unit cell is and a bcc cell contains 2 atoms, so the volume per atom is $27 ×

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Question ID VK-034767