Tungsten has a density of 19.35 g cm^–3 and the length of the side of the unit cell is 316 pm. The unit cell is a body centred unit cell. How many atoms does 50 grams of the element contain ?

Solution

we have given,

density =19.35 g cm^-3
edge length =316 pm
Number of unit cell =2 (BCC)
Mass =?

Thus,
$Length of edge of the unit cell = 316 pm = 316 x 10^{- 10} cm volume of the unit cell = (316 x 10^{- 10} cm)^{3} = 3.2 x 10^{- 23} {cm}^{3} / unit cell Density = \frac{atomic mass x Z}{unit cell volume x N_{A}} Atomic mass = \frac{Density xUnit volume {xN}_{A}}{Z} = \frac{19.35 x 3.2 x 10^{- 23} x 6.023 x 10^{23}}{2} = 186.5 g / mol As 186.5 g the element contain N_{A} atoms = 6.023 x 10^{23} atoms so 50 g of the element contain N_{A} atoms = 6.023 x 10^{23} x \frac{50}{186.5} = 1.614 x 10^{23} atoms$

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The Solid State

Tungsten has a density of 19.35 g cm^–3 and the length of the side of the unit cell is 316 pm. The unit cell is a body centred unit cell. How many atoms does 50 grams of the element contain ?

Some More Questions From The Solid State Chapter

Why do solids have a definite volume?

Classify the following as amorphous or crystalline solids: Polyurethane, naphthalene, benzoic acid, teflon, potassium nitrate, cellophane, polyvinyl chloride, fibre glass, copper.

Why is glass considred a super-cooled liquid?

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.

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The Solid State

Tungsten has a density of 19.35 g cm–3 and the length of the side of the unit cell is 316 pm. The unit cell is a body centred unit cell. How many atoms does 50 grams of the element contain ?

Some More Questions From The Solid State Chapter

Why do solids have a definite volume?

Classify the following as amorphous or crystalline solids: Polyurethane, naphthalene, benzoic acid, teflon, potassium nitrate, cellophane, polyvinyl chloride, fibre glass, copper.

Why is glass considred a super-cooled liquid?

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.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Tungsten has a density of 19.35 g cm^–3 and the length of the side of the unit cell is 316 pm. The unit cell is a body centred unit cell. How many atoms does 50 grams of the element contain ?

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.