Home
Class 12
CHEMISTRY
An element has a bcc structure with a ce...

An element has a bcc structure with a celledge of `288` pm. The density of the element is `7.2 g cm^(-3)`. How many atins are present in `208 g` of the element?

Text Solution

Verified by Experts

We know that `rho=(ZxxM)/(a^(3)xxN_(0)xx10^(-30))orN_(0)=(ZxxM)/(a^(3)xxrhoxx10^(-30))`
Edge length of the unit cell (a) = 288 pm = 288
No. of atoms per unit cell (Z) = 2
Density of the unit cell `(rho)=7.2g//cm^(3)`
Mass of the element (M) = 208g
Number of atoms (N) present may be calculated as :
`N=(2xx(208g))/((288)^(3)xx(7.2"g mol"^(-3))xx(10^(-3)cm^(3)))=24.18xx10^(23)`
Promotional Banner

Similar Questions

Explore conceptually related problems

An element has a bcc structure with a cell edge of 288 pm. The density of the element is 7.2 g cm^(-3) . How many atoms are present in 208 g of the element?

An element has a bcc structure with a cell edge of 288 pm. The density of the element is 7.2 g cm^(-3) . How many atoms are present in 208 g of the element?

Anelement has a body-centred cubic (bec) structure with cell edge of 288 pm. The density of the element is 7.2 g//cm^3 . How many atoms are present in 208 g of the element ?

An element crystallizes in f.c.c. lattice with edge length of 400 pm. The density of the element is 7 g cm^(-3) . How many atoms are present in 280 g of the element ?

An element crystallizes in b.c.c. lattice with cell edge of 500 pm. The density elements is 7.5g/ml. How many atoms are present in 300 g of the element ?

Tungsten has bcc lattice. Each edge of the unit cell is 316 pm and the density of the metal is 19.35g cm^(-3) . How many atoms are present in 50 g of this element?

An element exists in bcc lattice with a cell edge of 288 pm. Calculate its molar density is 7.2g//cm^(3)

An element crystallizes in fec lattice with a cell edge of 300 pm. The density of the element is 10.8 g cm^(-3) . Calculate the number of atoms in 108 g of the element.

Mass of one atom of the element A is 3.9854 xx 10^(-23)g . How many atoms are contained in 1g of the element A ?

Mass of one atom of the element A is 3.9854 xx 10^(-23)g . How many atoms are contained in 1g of the element A ?