Paragraph: A solid crystal is composed of X, Y and Z atoms, Z atoms...

Paragraph: A solid crystal is composed of

X, Y

and

Z

atoms,

Z

atoms (radius 200 pm ) form cubic close packed structure, whereas

X

(radius 50 pm )

and Y

(radius 100 pm ) occupy respective voids - Assume all the voids are occupied. Now answer the following questions.Question: Now in the crystal obtained in Q. No. 13 if all the atoms along another body diagonal are removed, then the formula of the compound becomes :

Options

A $X_8 Y_4 Z_6$
B $X_8 Y_6 Z_5$
C $\mathrm{X}_8 \mathrm{Y}_4 \mathrm{Z}_8$
D $X_8 Y_6 Z_7$

Correct answer

D. $X_8 Y_6 Z_7$

Step-by-step solution

On removing atoms along another body diagonal, we lose

\rightarrow 2 \mathrm{Z}

atoms

\rightarrow 2 \mathrm{X}

atoms

\therefore

The new formula becomes

=\mathrm{X}_4 \mathrm{Y}_3 \mathrm{Z}_{3.5}

Simplest formula

=X_B Y_6 Z_7

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