Home
Class 12
CHEMISTRY
An element with density 2.8 g cm^(-3) f...

An element with density `2.8 g cm^(-3)` forms fcc unit cell with edge length `4 x 10^(-8) cm. `
Calculate the molar mass of the element.
(Given, `N _(A) = 6. 022 xx 10 ^(28) mol ^(-1))`

Text Solution

Verified by Experts

Given that, density `d=2.8 g cm^(-3)`
Edge length, `alpha = 4 xx 10 ^(-8) cm`
For foc, Z =4
Applying the formula,
`d = (ZM)/( alpha ^(3) N _(A))`
`therefore M = ( d alpha ^(3) N _(A))/(Z )`
`= ( 2. 8 g cm ^(-5) xx ( 4 xx 10 ^(-8) cm) ^(3) xx 6. 022 xx 10 ^(23) mol ^(-1))/(4)`
`M = 26.98= 27 g mol ^(-1)`
Promotional Banner

Similar Questions

Explore conceptually related problems

An element with density 11.2 g cm^(-3) forms a fcc lattice with edge length of 4 xx 10^(-8) cm. Calculate the atomic mass of the element. (Given, N_(A)=6.022 xx 10^(23)"mol"^(-1) )

An element with molar mass 27 g "mol"^(-1) forms a cubic unit cell with edge length 4.05 xx 10^(-8) cm. If its density is 2.7 g cm^(-3) , what is the nature of the cubic unit cell?

An element occurs in b c c structure with cell edge of 288 p m .Its density is 7.2 g cm^-3 . calculate the atomic mass of the element.

An element with molar mass 2.7xx10^(-2) "kg mol"^(-1) forms a cubic unit cell with edge length 405 pm. If its density is 2.7xx10^(3)" kg m"^(-3) . What is the nature of the cubic unit cell?

An element occurs in bcc structure. It has a cell edge length of 250 pm. Calculate the molar mass if its density is 8.0 g cm^(-3) . Also calculate the radius of an atom of this element.