The element palladium has ccp packing with a face-centered cubic unit cell. The density of Pd is 12 g/cm3. Calculate the volume (L) of the unit cell of Pd.
See answers above. Same type problem.
To calculate the volume of the unit cell, we need to use the formula:
Volume of unit cell = (mass of the unit cell) / (density of the material).
Here, the given density of Pd is 12 g/cm3. Let's assume the mass of the unit cell is x grams.
We know that 1 cm3 = 1 mL = 1 gram. Therefore, the mass of the unit cell is equal to its volume.
Now we can rearrange the formula to solve for the volume of the unit cell:
Volume of unit cell = mass of unit cell / density of the material
= x grams / 12 g/cm3
≈ x cm3
Since the volume of the unit cell represents the volume of a cube, we can express it as the length of one side cubed (L3).
So, volume of unit cell = L3
Therefore, x cm3 = L3.
To get the volume (L) of the unit cell, we take the cube root of x cm3.
Thus, L = cube root of x.
Since we don't have the mass of the unit cell, we also need additional information to find the volume of the unit cell in this case.