An element has hcp packing with a hexagonal unit cell. the volume of the unit cell is 5.71E-26 L. Calculate the density (kg/m3) of the element.
See worked examples below.
To calculate the density of the element, we need to know its molar mass and the number of atoms in the unit cell.
1. Find the number of atoms in the unit cell:
In a hexagonal close-packed (hcp) structure, there are two atoms per unit cell. This means that one unit cell contains two atoms.
2. Convert the volume of the unit cell to cubic meters:
The volume of the unit cell is given as 5.71E-26 L. To convert it to cubic meters, we need to multiply it by the conversion factor of 1 L = 1e-3 m^3:
Volume = 5.71E-26 L * 1e-3 m^3/L = 5.71E-29 m^3
3. Calculate the density:
Density is defined as mass divided by volume. Since we know the volume of the unit cell, we need to find the mass of the unit cell to calculate the density.
To find the mass of the unit cell, we can use its molar mass:
Mass = number of atoms in unit cell * molar mass
However, we don't have the molar mass of the element provided in the question. So, without that information, it is not possible to calculate the density of the element.