Home
Class 12
CHEMISTRY
A compount AB has a rock type structure ...

A compount `AB` has a rock type structure with `A:B=1:1`. The formula weight of `AB` is `6.023 Y am u` and the closed `A-B` distance is `Y^(1//3) nm.`
`(i)` Find the density of lattice.
`(ii)` If the density of lattice is found to be `20 kg m^(-3)`, then predict the type of defect.

Text Solution

Verified by Experts

`AB` has rock salt structure `A:B=1:1 i.e., f.c.c.` structure `(z=4)` and formula weight of `AB` is `6.023 Y g` having closest distance `(A-B)Y^(1//3) nm. `
Therefore edge length of unit cell
`=2(A^(+)+B^(-))=2xxY^(1//3)xx10^(-9)m`
`(i)` Density of
`AB=(zxxm)/(Av. no . xxV)=(zxxm)/(Av. no . xxa^(3))`
`=(4xx6.023Yxx10^(-3))/(6.023xx10^(23)xx(2Y^(1//3)xx10^(-9))^(3))`
`=5.0kg m^(-3)`
`(ii)` The observed density of `Ab` is `20 kg m^(-3)`, which is higher than calculated density `5 kg m^(-3)` and thus `AB` has either interstitial impurity defect or substitutional impurity defect.
Promotional Banner

Topper's Solved these Questions

  • SOLID STATE

    P BAHADUR|Exercise Exercise 9|1 Videos

  • MOCK TEST PAPER

    P BAHADUR|Exercise Exercise|92 Videos

  • SURFACE CHEMISTRY

    P BAHADUR|Exercise Exercise 5|1 Videos

Similar Questions

Explore conceptually related problems

A compound AB has a rock salt type structure with A:B=1:1 . The formula weight of AB is 6.023 y amu and the closest A-B distance is y^(1//3) nm. Calculate the density of lattice (in kg//m^(3))

The crystal AB (rock salt structure) has molecular weight 6.023Y u , where Y is an arbitrary number in u . If the minimum distance between cation and anion is Y^(1)/(3) nm and the observed density is 20 kg m^(-3) . Find a. The density in kg m^(-3) . and b. The type of defect

The crystal AB (rock salt structure) has molecular weight 6.023 y u, where y is an arbitrary number in u. If the minimum distance between cation and anion is y^(1//2) nm and the observed density is 20kg/ m^(3) , find the (i) density in kg/ m^(3) and (ii) type of defect.

AB crystallizes in a rock salt structure. The nearest distance between A and B is Y^(1//3) nm, where Y is a constant. The molecular mass of AB is "6.023 Y g/mol"^(-1) .Determine the density in kgm^(-3) .