MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Types of Unit Cell

Aluminium a.w...

Question

Aluminium (a.w = 27) crystalises in a cubic unit cell with edge length (a) = 100 pm, with density 'd' = 180g/cm, then type of unit cell is:

A

SCC

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

BCC

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

FCC

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

HCP

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A FCC
Given that
$a = 100 p m = 100 \times 10_{m}^{- 12} = 10^{- 8} c m$
$d = 180 g c m^{- 3}, z = 27$
we konw that
$d = \frac{n Z}{a^{3} N_{A}}$
$n = \frac{d a^{3} N_{A}}{2}$
$= \frac{180 \times (10^{- 8})^{3} \times 6.023 \times 10^{23}}{27}$
n = 4
FCC

Suggest Corrections

thumbs-up

0

Similar questions

Q. Aluminium (molecular weight = 27) crystallises in a cubic unit cell with edge length a = 100 pm, with dens d = 180

g / {c m}^{3}

, then type of unit cell is:

Q. Aluminium (Atomic mass = 27) crystallises in a cubic system with edge length of 4

A^{\circ}

. Its density is 2.7 g

c m^{- 3} .

The number of aluminium atoms present per unit cell is

Q. Aluminium (atomic mass = 27) crystallises in a cubic system with edge length of 4A. Its density is

2.7 g c m^{- 3}

. The number of aluminium atoms present per unit cell is:

Q. If an hypothetical metal crystallises in a face centered cubic unit cell having density

(d) = 100 {g/cm}^{3}

and edge length of the unit cell is

100 pm

, then, what is the molar mass of the metal:
[1 Mark]

Q. If an hypothetical metal crystallises in a face centered cubic unit cell having density

(d) = 100 {g/cm}^{3}

and edge length of the unit cell is

100 pm

, then,
the number of atoms in

100 g

of that fcc crystal is:
[1 Mark]

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Types of Unit Cell

CHEMISTRY

Watch in App

explore_more_icon

Explore more

Types of Unit Cell

Standard XII Chemistry

Join BYJU'S Learning Program

CrossIcon