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Standard XII

Chemistry

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If the length...

Question

If the length of the body diagonal for CsCl which crystallizes into a cubic structure with $C l^{-}$ ions at the corners and $C s^{+}$ ions at the centre of the unit cells is $7 ˚ A$ and the radius of the $C s^{+}$ ion is $1.69 ˚ A$ , what is the radius of $C l^{-}$ ion in $˚ A$ ?

1

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3.5

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1.81

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None of the above

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Solution

The correct option is C $1.81$
$C s C l$ arranges in body centred type structure
For body centred structures $\sqrt{3} a = 2 (r_{+} + r_{-})$
Length of body diagonal $= \sqrt{3} a$
$⟹ 7 = 2 (1.69 + r_{-})$
$⟹ r_{-} = 1.81 ˚ A$

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Similar questions

Q. If the length of body diagonal for

CsCl

, which crystallises into a cubic structure with

{Cl}^{-}

ions at the corners and

{Cs}^{+}

ions at the centre of unit cell is

7 ˚ A

and the radius of

{Cs}^{+}

ion is

1.69 ˚ A

. The radius of

{Cl}^{-}

ion?

Q. If the length of the body diagonal for CsCl which crystallises into a cubic structure with

C l^{-}

ions at the corners and

C s^{+}

ions at the centre of the unit cells is

7 ˚ A

and the radius of the

C s^{+}

ion is

1.69 ˚ A

. What is the radii (in

˚ A

) for

C l^{-}

ion?

C s C l

has cubic structure of ions in which

C s^{+}

ions is present in the body-centre of the cube. If density is

3.99 g c m^{- 3}

.
(a) Calculate the length of the edge of a unit cell.
(b) What is the distance between

C s^{+}

and

C l^{-}

ions?
(c) What is the radius of

C s^{+}

ion if the radius of

C l^{-}

ion is

180 p m

Q. In a cubic crystal of CsCl (density

= 3.97

g cm

^{- 3}

), the eight corners are occupied by

C l^{-}

ions with

C s^{+}

ions at the body centre. Calculate the distance (in

˚ A

) between the neighbouring

C s^{+}

and

C l^{-}

ions.

C s C l

crystallizes in a cubic lattice that has a

C l^{-}

at each corner and

C s^{+}

at the centre of the unit cell. If

(r_{C s^{+}}) = 1.69 o A

and

(r_{C l^{-}}) = 1.81 o A

, what is the value of edge length a of the cube?

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If the length of the body diagonal for CsCl which crystallizes into a cubic structure with Cl− ions at the corners and Cs+ions at the centre of the unit cells is 7 ˚A and the radius of the Cs+ ion is 1.69 ˚A, what is the radius of Cl− ion in ˚A?

The correct option is C 1.81CsCl arranges in body centred type structureFor body centred structures √3a=2(r++r−)Length of body diagonal =√3a⟹7=2(1.69+r−)⟹r−=1.81˚A

If the length of the body diagonal for CsCl which crystallizes into a cubic structure with $C l^{-}$ ions at the corners and $C s^{+}$ ions at the centre of the unit cells is $7 ˚ A$ and the radius of the $C s^{+}$ ion is $1.69 ˚ A$ , what is the radius of $C l^{-}$ ion in $˚ A$ ?

The correct option is C $1.81$
$C s C l$ arranges in body centred type structure
For body centred structures $\sqrt{3} a = 2 (r_{+} + r_{-})$
Length of body diagonal $= \sqrt{3} a$
$⟹ 7 = 2 (1.69 + r_{-})$
$⟹ r_{-} = 1.81 ˚ A$