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An element has hcp packing with a hexagonal unit cell. Its density is 21000 kg/m3 and the unit cell volume is 2.94 x 10^-29 m3. Calculate the molar mass (g/mol) of the element to three significant figures.Avogadro's No. (mol-1)6.022x10^23

Question

An element has hcp packing with a hexagonal unit cell. Its density is 21000 kg/m3 and the unit cell volume is 2.94 x 10^-29 m3. Calculate the molar mass (g/mol) of the element to three significant figures.

Avogadro's No. (mol-1)
6.022x10^23

check_circleAnswer
Step 1

The density of HCP molecule can be shown as:

Where, d is density of cell

M is molar mass of element

A3 is volume of cell

NA is avogadro number

fullscreen
Step 2

For HCP, Z = 4

a3 = 2.94 x 10-29 m3

NA = 6.02 x 1023

d = 2...

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