A) \[\frac{1}{2},\frac{1}{8}\]
B) \[1,\frac{1}{4}\]
C) \[\frac{1}{2},\frac{1}{2}\]
D) \[\frac{1}{4},\frac{1}{8}\]
Correct Answer: A
Solution :
| In \[ccp,{{O}^{2-}}\]ions are 4. |
| Hence total negative charge =-8 |
| Let \[{{\operatorname{Al}}^{3+}}\]ions be\[x\], and \[{{\operatorname{Mg}}^{2+}}\]ions be y. |
| Total positive charge \[3x+2y\] |
| \[\Rightarrow 3x+2y=8\] |
| This relation is satisfied only by \[x=2\] |
| And \[y=1.\] |
| Hence number of \[{{\operatorname{Al}}^{3+}}=2\] |
| And number of \[{{\operatorname{Mg}}^{2+}}=1\] |
| \[\Rightarrow n=\]Fraction of octahedral holes occupied |
| \[\operatorname{by}\,A{{l}^{3+}}=\frac{2}{4}=\frac{1}{2}\] |
| And \[m=\]fraction of tetrahedral holes |
| Occupied by\[{{\operatorname{Mg}}^{2+}}=\frac{1}{8}\] |
You need to login to perform this action.
You will be redirected in
3 sec
