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Problem: An element crystallizes in a face-centered cubic lattice. The edge of the unit cell is 4.078×10−8 cm, and the density of the crystal is 19.30 g/cm3. Calculate the atomic weight of the element.

FREE Expert Solution

In this problem, we are asked to determine the atomic weight of the element. 


Recall that the face-centered cubic lattice contains an atom in each of the face of the cube and an atom in each of the corners

It looks like this:



To solve this problem


Step 1. Determine the volume of the cell.

Step 2. Determine the mass of the cell.

Step 3. Determine the number of atoms

Step 4. Calculate the atomic mass of the element. 


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Problem Details

An element crystallizes in a face-centered cubic lattice. The edge of the unit cell is 4.078×10−8 cm, and the density of the crystal is 19.30 g/cm3. Calculate the atomic weight of the element.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Unit Cell concept. You can view video lessons to learn Unit Cell. Or if you need more Unit Cell practice, you can also practice Unit Cell practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Lufaso's class at UNF.