If the radius of $M g^{2 +}$ ion, $C s^{+}$ ion, $O^{2 -}$ ion $S^{2 -}$ ion and $C l^{-}$ ion are $0.65 A^{o}$ , $1.69 A^{o}$ , $1.40 A^{0}$ , $1.84 A^{o}$ and $1.81 A^{o}$ respectively. The co-ordination numbers of the cations in the crystals of $M g S$ , $M g O$ and $C s C l$ are, respectively :

4, 8, 6

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6, 4, 8

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8, 4, 6

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4, 6, 8

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Solution

The correct option is C $4, 6, 8$
Compound
Calculated
radius ratio
Radius ratio range
Coordination number
Geometry
MgS
$\frac{0.65}{1.84} = 0.353$
0.225 to 0.414
4
Tetrahedral
MgO
$\frac{0.65}{1.40} = 0.464$
0.414 to 0.732
6
Octahedral
CsCl
$\frac{1.69}{1.81} = 0.934$
0.732 to 1.000
8
BCC

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Similar questions

If the radius of Mg2+ ion, Cs+ ion, O2- ion, S2- ion and Cl- ion are 0.65 Å , 1.69 Å, 1.40 Å, 1.84 Å, and 1.81 Å respectively. Then the co-ordination numbers of the cations in the crystals of MgS, MgO and CsCl respectively are:

Q. If the radius of

M g^{2 +}

ion,

C s^{+}

ion,

O^{2 -}

ion,

S^{2 -}

ion and

C l^{-}

ion are

0.65 A^{\circ}, 1.69 A^{\circ}, 1.40 A^{\circ}, 1.84 A^{\circ}

and

1.81 A^{\circ}

respectively. The co-ordination numbers of the cations in the crystals of MgS, MgO and CsCl, respectively, are :

Q. Assertion :In

C s C l

crystal, the co-ordination number of

C s^{+}

ions is

8

. Reason:

C l^{-}

ions in

C s C l

adopt face centred cubic structure.

Ionic radii of $M g^{2 +}$ and $O^{2 -}$ ions are 66 pm and 140 pm respectively. The type of interstitial void and coordination number of $M g^{2 +}$ ion respectively are

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Compound	Calculated radius ratio	Radius ratio range	Coordination number	Geometry
MgS	$\frac{0.65}{1.84} = 0.353$	0.225 to 0.414	4	Tetrahedral
MgO	$\frac{0.65}{1.40} = 0.464$	0.414 to 0.732	6	Octahedral
CsCl	$\frac{1.69}{1.81} = 0.934$	0.732 to 1.000	8	BCC

If the radius of Mg2+ion, Cs+ion, O2−ion S2−ion and Cl− ion are 0.65 Ao, 1.69 Ao, 1.40 A0, 1.84 Ao and 1.81 Ao respectively. The co-ordination numbers of the cations in the crystals of MgS, MgO and CsCl are, respectively :

The correct option is C 4,6,8Compound Calculated radius ratio Radius ratio range Coordination number GeometryMgS 0.651.84=0.353 0.225 to 0.414 4 TetrahedralMgO 0.651.40=0.464 0.414 to 0.732 6 OctahedralCsCl 1.691.81=0.934 0.732 to 1.000 8 BCC

If the radius of $M g^{2 +}$ ion, $C s^{+}$ ion, $O^{2 -}$ ion $S^{2 -}$ ion and $C l^{-}$ ion are $0.65 A^{o}$ , $1.69 A^{o}$ , $1.40 A^{0}$ , $1.84 A^{o}$ and $1.81 A^{o}$ respectively. The co-ordination numbers of the cations in the crystals of $M g S$ , $M g O$ and $C s C l$ are, respectively :

The correct option is C $4, 6, 8$
Compound
Calculated
radius ratio
Radius ratio range
Coordination number
Geometry
MgS
$\frac{0.65}{1.84} = 0.353$
0.225 to 0.414
4
Tetrahedral
MgO
$\frac{0.65}{1.40} = 0.464$
0.414 to 0.732
6
Octahedral
CsCl
$\frac{1.69}{1.81} = 0.934$
0.732 to 1.000
8
BCC