Iron and vanadium both have the BCC crystal structure and V forms a substitutional solid solution in Fe for concentrations up to approximately 20 wt.% V at room temperature. Determine the concentration in weight percent of V that must be added to iron to yield a unit cell edge length of 0.289 nm.

Explanation:

To find the concentration; let's first compute the average density and the average atomic weight.

For the average density ; we have:

The average atomic weight is:

So; in terms of vanadium, the Concentration of iron is:

From a unit cell volume

where;

= number of Avogadro constant.

SO; replacing with ; with ; with and

with

Then:

Replacing the values; we have:

the atomic number will stay the same no matter how many electrons it has, so it doesn’t decrease nor increase. it’ll only change with a different number of protons