Problem: An unknown metal is found to have a density of 7.8748 g/cm3 and to crystallize in a body-centered cubic lattice. The edge of the unit cell is found to be 0.28864 nm .Calculate the atomic mass of the metal.

🤓 Based on our data, we think this question is relevant for Professor Zhai's class at UCF.

FREE Expert Solution

We are asked to determine the atomic mass of a metal with a body-centered cubic lattice


Recall that a body-centered cubic lattice has 8 atoms in its 8 corners and 1 atom at the center:



To solve for the atomic mass, we will follow the steps:

STEP 1: Find the volume of the unit cell

STEP 2: Find the mass of the unit cell

STEP 3: Calculate the atomic mass

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Problem Details

An unknown metal is found to have a density of 7.8748 g/cm3 and to crystallize in a body-centered cubic lattice. The edge of the unit cell is found to be 0.28864 nm .

Calculate the atomic mass of the metal.

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 Zhai's class at UCF.