MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Relation Between r and a

Ammonium chlo...

Question

Ammonium chloride crystallises in a body-centred cubic lattice with a unit distance of 387 pm. Calculate (a) the distance between oppositely charged ions in the lattice and (b) the radius of the $N H_{4}^{+}$ ion if the radius of $C l^{-}$ ions is 181 pm.

Open in App

Solution

(a) In a body-centred cubic lattice, oppositely charged ions touch each other along the cross-diagonal of the cube.

So, $2 r_{c} + 2 r_{a} = \sqrt{3} a$

or $r_{c} + r_{a} = \frac{\sqrt{3}}{2} a$

$= \frac{\sqrt{3}}{2} \times 387 = 335.15$ pm.

(b) Given that, $r_{a} = 181$ pm

$r_{c} = 335.15 - 181.0 = 154.15$ pm

Suggest Corrections

thumbs-up

0

Similar questions

Q. Ammonium chloride crystallises in a body centered cubic lattice with a unit distance of

386 p m

. Calculate the radius (in pm) of

N H_{4}^{+}

ion. If the radius of

C l^{-}

181 p m

(T a k e \sqrt{3} = 1.73)

N H_{4} C l

crystallizes in a body centred cubic lattice , with a unit cell distance of

387 p m

. Calculate the radius of the

N H_{4}^{+}

ion if the radius of the

C l^{-}

181 p m

.

Q. Ammonium chloride crystallises in a body centered cubic lattice with a unit distance of

386 p m

. Calculate the radius (in pm) of

N H_{4}^{+}

ion. If the radius of

C l^{-}

181 p m

(T a k e \sqrt{3} = 1.73)

Q. Ammonium chloride cystallise in a body-centred cubic lattice with a unit distance of

387 p m

. Calculate
(a) the distance between oppositely charged ion in the lattice and
(b) the radius of the

{N H}_{4}^{+}

ion if the radius of

{C l}^{-}

181 p m

N H_{4} C l

crystallises in a body-centered cubic lattice with an unit cell edge length of 387 pm. The distance between the oppositely charged ions in the lattice is:

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Relation Between r and a

CHEMISTRY

Watch in App

explore_more_icon

Explore more

Relation Between r and a

Standard XII Chemistry

Join BYJU'S Learning Program

CrossIcon