Home
Class 12
CHEMISTRY
Iron exhibits bcc structure at roomj tem...

Iron exhibits `bcc` structure at roomj temperature. Above `9000^(@)C`, it transformers to `fcc` structure. The ratio of density of iron at room temperature to that at `900^(@)C` (assuming molar mass and atomic radius of iron remains constant with temperature) is

A

`(sqrt3)/(sqrt2)`

B

`(4sqrt3)/(3sqrt2)`

C

`1/2`

D

`(3sqrt3)/(4sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
D
For bcc lattice: Z = 2, `a =(4r)/(sqrt3)`
For fcc lattice: Z=4. `a = 2sqrt2 r`
`:. (d_(25^@C))/(d_(900^@C))=(((ZM)/(N_A a^3))_(b c c))/(((ZM)/(N_A a^3))_(f c c))`
`=2/4 ((2sqrt2 r)/((4r)/(sqrt3)))^3=((3sqrt3)/(4sqrt2))`
Promotional Banner

Topper's Solved these Questions

  • THE SOLID STATE

    PHYSICS WALLAH|Exercise Level-2|30 Videos

  • THE S-BLOCK ELEMENTS

    PHYSICS WALLAH|Exercise NEET PAST 5 YEARS QUESTIONS|24 Videos

  • THERMODYNAMICS

    PHYSICS WALLAH|Exercise NEET PAST 5 YEARS QUESTIONS|10 Videos

Similar Questions

Explore conceptually related problems

Iron exhibits bcc structure at roomj temperature. Above 9000^(@)C , it transformers to fcc structure. The ratio of density of iron at room temperature to that at 900^(@)C (assuming molar mass and atomic radii of iron remains constant with temperature) is

Iron exhibits bcc structure at room temperatutre .Above 900^(@)C .it transitions to fcc structure .The ratio of density of ions at room temperature to that at 900^(@)C (assuming molar mass and atomic , radii of ion remain s constant with temperature ) is

The temperature at which the root mean squres speed of a gas will be half its value at 0^(@)C is (assume the pressure remains constant)

They Y - form of iron has fcc structure (edge length 386) and beta - form has bcc structure (edge length 290 pm) . The ratio of density in Y - form and beta - form is :

The rms velocity of a gas at T °C is double the value at 27 °C. The temperature T of the gas in °C is ( assume that the pressure remains constant)