Home
Class 12
CHEMISTRY
An element of atomic mass 40 occurs in f...

An element of atomic mass 40 occurs in fcc structure with a cell edge of 540 pm. Calculate the Avogadro's number if density is `1.7gm//cm^(3)`.

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) = 540 pm = 540
No. of atoms per unit cell (Z) = 4
Density of the unit cell `(rho)=1.7gm//cm^(3)`
Atomic mass of the element (M) = `"40 g mol"^(-1)`
`N_(0)=(4xx("40 g mol"^(-1)))/((540)^(3)xx(1.7"g cm"^(-3))xx(10^(-30)cm^(3)))=6.0xx10^(23)"mol"^(-1)`
Promotional Banner

Topper's Solved these Questions

  • SOLID STATE

    DINESH PUBLICATION|Exercise N.C.E.R.T|77 Videos

  • SOLID STATE

    DINESH PUBLICATION|Exercise N.C.E.R.T.|16 Videos

  • REDOX REACTIONS

    DINESH PUBLICATION|Exercise Ultimate Preparation|9 Videos

  • SOLUTIONS

    DINESH PUBLICATION|Exercise ULTIMATE PREPARATORY PACKAGE|10 Videos

Similar Questions

Explore conceptually related problems

An element of atomic number 52 occurs in bcc structure with cell edge length of 288 pm. Calculate the Avodadro's number if density is 7.2gm//cm^(3) .

An element occurs in bcc structure. It has a cell edge length of 250pm. Calculate the molar mass if its density is 8.0g cm^(-3) . Also calculate the radius of an atom 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 (density = 6.8gcm^(-3) ) occurs in bcc structure with cell edge of 290"pm" .Calculate the number of atoms present in 200g of the element:-

An element 'x' (Atomic mass = 40 g mol^(-1) ) having f.c.c. structure has unit cell edge length of 400 pm. Calculate the density of 'x' and the number of unit cells in 4 g of 'x'

An element A (Atomic weight =100 ) having b.c.c. structures has unit cell edge length 400 pm. Calculate the density of A. number of unit cells and number of atoms in 10 g of A.

A substance crystallizes in fcc structure. The unit cell edge length is 367.8pm. Calculate the molar mass of the substance if its density is 21.5 g//cm^3

An element (atomic mass = 100 g//mol ) having bcc structure has unit cell edge 400 pm .Then density of the element is