Cromium and tantalum both have the BCC crystal structure, and Ta forms a substitutional solid solution for all concentrations at room temperature. Compute the unit cell edge length for a 22 wt% Cr - 78 wt% Ta alloy. The room-temperature density and atomic weight of Cr are 7.19 g/cm3 and 52.00 g/mol, the room-temperature density and atomic weight of Ta are 16.6 g/cm3 and 180.95 g/mol, respectively.

The unit cell edge length of the alloy is 0.3112 nm

Explanation:

Given;

density of chromium, Cr= 7.19 g/cm³

atomic weight of chromium, Cr = 52.00 g/mol

density of tantalum, Ta = 16.6 g/cm³

atomic weight of tantalum, Ta  = 180.95 g/mol

Step 1: determine the average density of the atoms;

Step 2: determine the average atomic weight;

Step 3: determine the cubic volume of the atoms;

there are 2 atoms per unit cell of a body centered cubic structure.

Step 4: determine the unit cell edge length;

Vc = a³

Where;

a is the edge length

Therefore, the unit cell edge length of the alloy is 0.3112 nm

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