Iron has a body centred cubic unit cell with a cell dimension of 286.65 pm. The density of iron is 7.874 g cm^-3. Use this information to calculate Avogadro's number (At. Mass of Fe = 55.845 u)

Solution

a = 286.65 pm

a= 286.65 x 10^-10cm

Density ( ) = 7.874 g cm^-3At mass of Fe = 55.845 u

Z = 2 (For body centred cubic unit cell)

Avogadro number (N₀) =?
$straight rho space equals space fraction numerator straight Z space straight x space straight M over denominator straight a cubed space straight x space straight N subscript 0 end fraction 7.875 space straight g space cm to the power of negative 3 end exponent space equals fraction numerator 2 space straight x space left parenthesis 55.845 straight g space mol to the power of negative 1 end exponent right parenthesis over denominator left parenthesis 286.65 space straight x space 10 to the power of negative 10 end exponent space cm right parenthesis space space straight x space left parenthesis 7.874 cm to the power of negative 3 end exponent right parenthesis space straight x space straight N subscript 0 end fraction straight N subscript 0 space equals space fraction numerator 2 space straight x space left parenthesis 55.845 space straight g space mol to the power of negative 1 end exponent right parenthesis over denominator left parenthesis 286.65 space straight x space 10 to the power of negative 10 end exponent cm right parenthesis cubed space straight x space left parenthesis 7.874 space cm to the power of negative 3 end exponent right parenthesis end fraction space equals space 6.022 space straight x space 10 to the power of 23 space mol to the power of negative 1 end exponent$

Some More Questions From The Solid State Chapter

Refractive index of a solid is observed to have the same value along all directions. Comment on the nature of this solid. Would it show clevage property?

Classify the following solids in different categories based on the nature of intermolecular forces operating in them:
Potassium sulphate, tin, benzene, urea, ammonia, water, zinc
sulphate, graphite, rubidium, argon, silicon carbide.

For Daily Free Study Material Join wiredfaculty

The Solid State

Iron has a body centred cubic unit cell with a cell dimension of 286.65 pm. The density of iron is 7.874 g cm^-3. Use this information to calculate Avogadro's number (At. Mass of Fe = 55.845 u)

Some More Questions From The Solid State Chapter

Refractive index of a solid is observed to have the same value along all directions. Comment on the nature of this solid. Would it show clevage property?

Classify the following solids in different categories based on the nature of intermolecular forces operating in them:
Potassium sulphate, tin, benzene, urea, ammonia, water, zinc
sulphate, graphite, rubidium, argon, silicon carbide.

Solid A is a very hard, electrical insulator in solid as well as in molten state and melts at extremely high temperature. What type of solid is it?

Ionic solids conduct electricity in liquid state but not in solid state. Explain.

What type of solids are electrical conductors, malleable and ductile?

Give the significance of a 'lattice point'.

Name the parameters that characterize a unit cell.

Distinguish between Hexagonal and monoclinic unit cells.

Distinguish between Face-centred and end-centred unit cells.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction

For Daily Free Study Material Join wiredfaculty

The Solid State

Iron has a body centred cubic unit cell with a cell dimension of 286.65 pm. The density of iron is 7.874 g cm-3. Use this information to calculate Avogadro's number (At. Mass of Fe = 55.845 u)

Some More Questions From The Solid State Chapter

Refractive index of a solid is observed to have the same value along all directions. Comment on the nature of this solid. Would it show clevage property?

Classify the following solids in different categories based on the nature of intermolecular forces operating in them: Potassium sulphate, tin, benzene, urea, ammonia, water, zinc sulphate, graphite, rubidium, argon, silicon carbide.

Solid A is a very hard, electrical insulator in solid as well as in molten state and melts at extremely high temperature. What type of solid is it?

Ionic solids conduct electricity in liquid state but not in solid state. Explain.

What type of solids are electrical conductors, malleable and ductile?

Give the significance of a 'lattice point'.

Name the parameters that characterize a unit cell.

Distinguish between Hexagonal and monoclinic unit cells.

Distinguish between Face-centred and end-centred unit cells.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Iron has a body centred cubic unit cell with a cell dimension of 286.65 pm. The density of iron is 7.874 g cm^-3. Use this information to calculate Avogadro's number (At. Mass of Fe = 55.845 u)

Classify the following solids in different categories based on the nature of intermolecular forces operating in them:
Potassium sulphate, tin, benzene, urea, ammonia, water, zinc
sulphate, graphite, rubidium, argon, silicon carbide.