Advertisements
Advertisements
प्रश्न
An element crystallizes in a f.c.c. lattice with a cell edge of 250 pm. Calculate the density if 300 g of this element contains 2 × 1024 atoms.
Advertisements
उत्तर
Given: a = 250 pm = 250 × 10−12 m
z = 4
m = 250 × 10-10 cm 2 × 1024 atom weighs = 300g
`m=M/N_A(M" is molar mass")`
`"molar mass, M ="(300xx6.02xx10^23)/(2xx10^24)=90.3" g/mol"`
`"Density, "d=(zM)/(a^3N_A)`
`d=(4xx90.3)/((250)^3xx10^-36xx6.02xx10^23)=38.4" g/cm"^3`
Therefore, the density of the given element is 38.4 g/cm3
APPEARS IN
संबंधित प्रश्न
An element with density 10 g cm−3 forms a cubic unit cell with edge length of 3 × 10−8 cm. What is the nature of the cubic unit cell if the atomic mass of the element is 81 g mol−1?
An element with density 2.8 g cm–3 forms a f.c.c. unit cell with edge length 4 x 10–8 cm. Calculate the molar mass of the element.
(Given : NA = 6.022 x 1023 mol –1)
Silver crystallises in fcc lattice. If edge length of the cell is 4.07 × 10−8 cm and density is 10.5 g cm−3, calculate the atomic mass of silver.
A metal crystallises into two cubic faces namely face centered (FCC) and body centered (BCC), whose unit cell edge lengths are 3.5 Å and 3.0 Å respectively. Find the ratio of the densities of FCC and BCC.
Represent a cell consisting of Mg2+ | Mg half cell and Ag+
| Ag half cell and write the cell reaction.
( `"E"_("Ag")^° = 0.799 "V", "E"_("Mg")^° = - 2.37 "V"`)
An element crystallizes in fcc 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.
An element crystallizes in fcc 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.
A unit cell of NaCl has 4 formula units. Its edge length is 0.50 nm. Calculate the density if molar mass of NaCl = 58.5 g/mol.
Tetragonal crystal system has the following unit cell dimensions:
A unit cell of sodium chloride has four formula units. The edge length of the unit cell is 0.564 nm. The density of sodium chloride is ______ g/cm3.
