Home
Class 11
CHEMISTRY
A solid has a structure in which X atoms...

A solid has a structure in which `X` atoms are located at cubic corners of unit cell, `O` atom are at the edge centres and `Y` atoms at cube centre.
Then the formula of compound is `X_(a)Y_(b)O_(c)`
If two atoms of `O` missing from any of two edge centres per unit cell, then the molecular formula is `X_(a)Y_(b)O_(z)`. Then, find the value of `(x + y + z) - (a + b+ c)`.

Text Solution

Verified by Experts

The correct Answer is:
4
a. Number of X atoms `=8xx(1)/(8)=1`/unit cell.
Number of Y atoms=1/unit cell. Number of O atoms `=12xx(1)/(4)=3` /unit cell
Formula is : `XYO_(3)rArrX_(a)Y_(b)O_(c)`
b. Number of O atoms missing from two edge centers per unit cell `=2xx(1)/(4)=(1)/(2)` /unit cell
Number of O atoms left `=3-(1)/(2)=2.5`/unit cell
Formula is `XYO_(2.5)rArrX_(2)Y_(2)O_(5)rArrX_(x)Y_(y)O_(z)`
`therefore` Total value of
`(x+y+z)-(a+b+c)=(2+2+5)-(1+1+3)=4`
Promotional Banner

Topper's Solved these Questions

  • SOLID STATE

    NARAYNA|Exercise LEVEL-II(H.W)|34 Videos

  • S-BLOCK ELEMENTS

    NARAYNA|Exercise LEVEL-4|15 Videos

  • SOME BASIC CONCEPTS IN CHEMISTRY STOICHIOMETRY (PART-I)

    NARAYNA|Exercise All Questions|555 Videos

Similar Questions

Explore conceptually related problems

A solid has a structure in which Y atoms are located at the corners of cubic lattice, Z atoms at the centre of edges and X atoms at the centre of body. The formula of compound is

A solid has a cubic structure in which X atoms are located at the corners of the cube, Y atoms are at the cube centres and O atoms are at the edge centres. What is the formula of the compound?

A solid has a structure in which W atoms are located at the corners of a cubic lattice, O atom at the centre of edges, and Na atom at the centre of the cube. The formula for the compound is

A solid has a structure in which W atoms are located at the corrent of a lattice O atoms at the center of edges and Na atoms at the center of the cube.The formula for the compound is

A solid has a structure in which W atoms are located at the corners of the cubic lattice, O atoms at the centre of the edges and Na atom at the centre of the cube. The formula of the compound is

A solid has a structure in which A atoms are located at the cube corners of the unit cell, B atoms are located at the cube edges of unit cell and the C atoms at the body centre. Formula of the compound

A crystalline solid has a cubic structure in which tungsten (W) atoms are located at the cubic corners of the unit cell, oxygen atoms at the edges of the cube and sodium atoms at the cube centre. The molecular formula of the compound is