The main concept used to solve this problem is density of substance.
Initially, calculate the average volume for each iron atom by using the relation between density and volume. Finally, calculate the distance between the centers of adjacent atoms by using the volume of the atom.
The density of a substance is defined as mass per unit volume of substance. The expression of density is given as follows:
Here, m is the mass and V is the volume.
The volume of the atomic cube is given as follows:
Here, a is the side of cube.
(a)
Re-arrange expression for V.
Convert the value of from to .
Substitute for m and for in equation .
(b)
The volume of the atomic cube is given as follows:
Substitute for V in the above expression.
Ans: Part a
The volume of each iron atom is .
Part bThe distance between the centers of adjacent atoms is .
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