An element crystallizes in b.c.c lattice with cell edge of 500 pm. The density of the element is 7.5g cm^-3. How many atoms are present in 300 g of the element ?

Solution

We have given,
a= 500pm
d=7.5 g cm^-3
mass = 300g
$by space using space formula comma fraction numerator straight z space xM over denominator straight a cubed space straight x space straight N subscript 0 end fraction space equals space straight d straight N subscript 0 space equals space fraction numerator straight z space xM over denominator straight a cubed space straight x space straight d end fraction straight N space equals space fraction numerator 2 space straight x space 300 straight g over denominator space left parenthesis 5 space straight x 10 to the power of negative 8 end exponent space cm right parenthesis cubed space straight x space 7.5 end fraction straight N space equals space 6.4 space straight x space 10 to the power of 23 space atoms$

Some More Questions From The Solid State Chapter

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The Solid State

An element crystallizes in b.c.c lattice with cell edge of 500 pm. The density of the element is 7.5g cm^-3. How many atoms are present in 300 g of the element ?

Some More Questions From The Solid State Chapter

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.

What is the two-dimensional coordination number of a molecule in square close packed layer ?

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The Solid State

An element crystallizes in b.c.c lattice with cell edge of 500 pm. The density of the element is 7.5g cm-3. How many atoms are present in 300 g of the element ?

Some More Questions From The Solid State Chapter

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.

What is the two-dimensional coordination number of a molecule in square close packed layer ?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

An element crystallizes in b.c.c lattice with cell edge of 500 pm. The density of the element is 7.5g cm^-3. How many atoms are present in 300 g of the element ?