Home
Class 12
CHEMISTRY
An element with molar mass 27 g 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 cubic unit cell ?

Text Solution

Verified by Experts

We shell apply the relation :
`d=(zM)/(a^(3)N_(A)) or z=(da^(3)N_(A))/(M)`
Here, `d=2.7gcm^(-3), a=4.05xx10^(-8)cm, M="27 g mol"^(-1) and N_(A)=6.022xx10^(23)" atoms mol"^(-1)`
Substituting the values in the equation, we have
`z=("2.7 g cm"^(-3)xx(4.05xx10^(-8))^(3)cm^(3)xx6.022xx10^(23)" atoms mol"^(-1))/("27 g mol"^(-1))`
`=(2.7xx(4.05)^(3)xx10^(-24)xx6.022xx10^(23))/(27)" atoms = 4 atoms"`
The element has a face - centred cubic cell.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SOLID STATE

    U-LIKE SERIES|Exercise SELF ASSESSMENT TEST|8 Videos
  • SOLID STATE

    U-LIKE SERIES|Exercise SHORT ANSWER QUESTIONS|43 Videos
  • SAMPLE QUESTIONS PAPER

    U-LIKE SERIES|Exercise SECTION D|6 Videos
  • SOLUTION

    U-LIKE SERIES|Exercise SELF ASSESSMENT TEST (SECTION D)|2 Videos

Similar Questions

Explore conceptually related problems

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 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 nature of cubic unit cell ?

Knowledge Check

  • The cubic unit cell of Al (molar mass 27 g mol^(-1) has an edge length of 405 pm. Its density is 2.7 g cm^(-3) ). The cubic unit cell is

    A
    face centred
    B
    body centred
    C
    primitive
    D
    edge centred
  • Similar Questions

    Explore conceptually related problems

    An element with molor 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 unit cell?

    An element with molar mass 2.7 xx 10^(-2) "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 with molar mass 2.7xx10^(-2) kg per mole forms a cubic unit cell with edge length 405 pm. If its density is 2.7xx10^(3) , what is the nature of the cubic unit cell ?

    An element with molar mass 2.7 xx 10^(-2) kg mol^(-1) forms a cubic unit cell with edge length 405 pm. If its density is 2.7 xx 10^(3) kg m^(-3) , what is the nature of the cubic unit cell ?

    An element with molar mass 2.7 xx 10^(-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 with molar mas 2.7xx10^(-2)" kg mol"^(-1) forms a cubic unit cell with edge length 405 pm. If its density is 2.7xx10^(-3)kgm^(-3) , the radius of the element is approximately ______ xx 10^(-12) m (to the nearest integer).

    An element with density 10 g cm^(-3) forms a cubic unit cell with edge length 3xx10^(-8)cm . What is the nature of the cubic unit cell if the atomic mass of the element is 81 g mol^(-1) .