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Calculate the number of free electrons per cubic centimeter (and per atom) for sodium from resistance...

Calculate the number of free electrons per cubic centimeter (and per atom) for sodium from resistance data (relaxation time 3.1*10^-14 s)

Solutions

Expert Solution

Given data :

The relaxation time of the of the electrons is .

Data required:

the mass of electron m=

charge of an electron e =

density of sodium

Atomic mass of Sodium 22g/mol

Avogadros number =

For part A:

The formula to calculate the relaxation time is,

Here m is the mass of elctron.

n is the number of electrons per metre cube.

is the density of sodium element.

thus rearqange the above equation

substitute in the above equation.

Hence the number of free electrons per centimetre cube is .

For Part B:

For number of free elctron per atom :

the formula to calculate the number of free elctrons per atom is,

Substitute

genius_generous answered 1 year ago

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