Home
Class 12
CHEMISTRY
An element occurs in bcc structure. It h...

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 radius of an atom of this element.

Text Solution

Verified by Experts

a = 250 pm `= 250 xx 10^(-10)` cm, d = 8 `cm^(-3)`, Z = 2 (for bcc), M = ?
`d = (Z xx M)/(a^(3) xx N_(A))`
`8 = (2 xx M)/((250 xx 10^(-10))^(3) (6.022 xx 10^(23)))`
`N = ((250 xx 10^(-10))^(3) xx (6.022 xx 10^(23)))/(2) xx 8`
`M = (9.409 xx 8)/(2) = 37.64 g mol^(-1)`
For bcc unit cell,
`4r = sqrt(3)a `
radius, `r = (sqrt(3)a)/(4) = (1.732 xx 250)/(4)`
= 108.25 pm
Promotional Banner

Topper's Solved these Questions

  • SOLID STATE

    OSWAAL PUBLICATION|Exercise TOPIC -1 (LONG ANSWER TYPE QUESTIONS - II)|3 Videos

  • SOLID STATE

    OSWAAL PUBLICATION|Exercise TOPIC -2 (VERY SHORT ANSWER TYPE QUESTIONS )|23 Videos

  • SOLID STATE

    OSWAAL PUBLICATION|Exercise TOPIC -1 (SHORT ANSWER TYPE QUESTIONS )|30 Videos

  • Sample Paper 8

    OSWAAL PUBLICATION|Exercise EXCERSICE|54 Videos

  • SOLUTIONS

    OSWAAL PUBLICATION|Exercise TOPIC - 3 COLLIGATIVE PROPERTIES , DETERMINATION OF MOLAR MASS, ABNORMAL MOLAR MASS, VAN.T HOFF FACTOR (LONG ANSWER TYPE QUESTIONS - II)|18 Videos

Similar Questions

Explore conceptually related problems

An element occurs in BCC structure with cell edge of 288 pm. It is 7.2g cm^(-3) . Calculate the atomic mass of the element.

An element occurs in BCC structure with cell edte of 288 pm. Find the density of the element it its atomic mass is 51.7?

An element crystallizes in fcc lattice. If the edge length of the unit cell is 408.6 pm and the density is 10.5 g cm^(-3) . Calculate the atomic mass of the element.

CsCl has bc c arrangement and its unit cell edge length is 400 pm. Calculate the interionic distance in CsCl .

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

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?

(a) Sodium metal crystallizes in bcc structure. Its unit cell edge length is 420 pm. Calculate its density. (Atomic mass of sodium = 23 u, N_(A) = 6.022 xx 10^(23) mol^(-) ). (b) What is Frenkel defect ? How does it affect the density of a crystal ?

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.

An element (atomic mass = 60) having fcc structure has density of 6.23 g cm^(-3) . The edge length of its unit cell is :