Home
Class 11
CHEMISTRY
At room temperature, pollonium crystalli...

At room temperature, pollonium crystallizes in a primitive cubic unit cell. If a = 3.36 Å, calculate the theoretical density of pollonium, its atomic mass is 209 g `mol^(-1)`.

Text Solution

Verified by Experts

A primitive cubic unit cell contains atoms only at the 8 corners with each corner contributing `1//8^(th)` of an atom . Hence n = `8 xx (1//8) = 1` . Volume `V = a^(3) = (3.36 Å)^(3)`
From Eq. 1 `rho = (n M m)/(N_(0) V)`
`= ((1) 209 g mol^(-1)))/((6.022 xx 10^(23) mol^(-1)) (3.36 xx 10^(-8) cm)^(3))`
`= 9.15 g cm^(-3)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Niobium crystallizes in body-centred cubic structure. If its density is 8.55 g cm^(-3) , calculate atomic radius of niobium, given its atomic mass 93 u.

Silver crystallizes in CCP lattice. The edge length of its unit cell is 408.6 pm. Calculate density of silver (atomic mass of silver is 107.9)

Niobiumcrystallizs in body centered strucure. If density is 8.55 g cm^(-3) . Calculate the edge lengthof the unit cell (Atomic mass = 93 u).

An element crystallizes in a structure having fcc unit cell of an edge 200 pm. Calculate the density if 200 g of this element contains 24 xx 10^(23) atoms.

(a) Sodium metal crystallizes in a BCC structure. Its unit cell edge length is 420p. Calculate its density. (atomic mass of sodium = 23u, N-6.022 xx 10^(23)(mol^(1-))..

Copper crystallises with face-centred cubic unit cell. If the radius of copper atom is 127.8 pm, calculate the density of copper metal. (Atomic mass of Cu = 63.55 g/mol and Avogadro's number N_(A) = 6.02 xx 10^(23) mol^(-1) )

Sodium metal crystallizes in a body centred cubic lattice with a unit cell edge of 4.29Å . The radius of sodium atom is approximately :

Silver froms ccp lattice and X -ray studies of its crystals show that the edge length of its unit cell is 408.6 pm. Calculate the density of silver (atomic mass = 107.9 u ).

Lithium metal has a body centred cubic lattice structure with edge length of unit cell 353 pm . Calculate the density of the lithium metal. [Given : Atomic mass of Li = 7 g mol^(-1) , N_A = 6.022 xx 10^(23) atom mol^(-1) )