Question

Question No. 6
Total number of tetrahedral voids formed in 1000 closed packed atom is
500
1000
1500
2000​

Answer 1

The total number of tetrahedral voids formed in 1000 closed packed atom is

(d) 2000

- If the total number of atoms that are in a closed packing structure is N, then we have:

The no of tetrahedral voids = 2 N

And the no of octahedral voids = N

- Here, The no of closed packed atoms, N = 1000

⇒ The no of tetrahedral voids = 2 N = 2 × 1000 = 2000

Answer 2

Concept

In a tetrahedral void, the atom comes up-to-date with four atoms that are placed at four corners of a tetrahedron. This void is made when a sphere of the second layer is above the destitute of the primary layer.

Given

In $1000$ closed-packed atoms tetrahedral voids are formed.

Find

We have to go looking out the whole number of the tetrahedral voids.

Solution

If the entire number of atoms that are during a closed packing structure is $N$, then we have:

The no of tetrahedral voids $=2N$

And the no of octahedral voids $=N$

Here, The amount of closed-packed atoms, $N=1000$

The number of tetrahedral voids

$\begin{aligned}2 N =& 2 \times 1000\\ =& 2000\end{aligned}$

Hence, option (d) is correct. The total number of tetrahedral voids are $2000.$

#SPJ2