### Number Density Calculator:

With our number density calculator, you can estimate the charge carrier number density of specific metals.

Recently, copper is the electrical conductor of choice in almost every branch of electrical wiring. We can find it almost everywhere. That is why we have also made example calculations of the charge carrier density of copper.

Divide the product by the molar mass of the substance to find the charge carrier number density.

Number density is defined as an intensity quantity used to describe the concentration of countable objects such as molecules, particles, cells, phonons, galaxies, and others.

Students can use our number density calculator to find the charge carrier density of metals. A charge carrier is a particle that carries an electrical charge when current flows.

### Number Density Formula:

Number Density formula n_{(c/m3)} in carrier per meter^{3} is equal to the the Avogadro constant Na_{(mol)} in mol and multiply the density of the material p_{(kg/m3)} in kilogram per meter^{3} and multiply the number of free electrons per atom M_{(g/mol)} in gram per mole.Hence the Number Density formula can be written as

n_{(c/m3)}=Na_{(mol)} *p_{(kg/m3)} * x /M_{(g/mol)}

where,

n=is the charge carrier number density

x=is the number of free electrons per atom

M=is the molar mass

Na= is the Avogadro constant Na=6.0221 *10^{23} 1 /mol

P=is the density of the material

### Example:1

The number of free electrons and density of copper is 15 and 23 kg /m^{3} .Find the number density of copper?

### Answer:

Given that

Density of copper p =23 kg /m^{3}

Number of free electrons in copper x =15

Molar mass of copper M= 28 g /mol

By using formula

n=Na *p * x /M

n=6.0221 *10^{23} * 23 *15 /28

n=0.7420087 *10^{28} carriers /m^{3}

### Example:2

The number of free electrons and density of copper is 250 and 350 kg /m^{3} .Find the number density of copper?

### Answer:

Given that

Density of copper p =350 kg /m^{3}

Number of free electrons in copper x =250

Molar mass of copper M= 18 g /mol

By using formula

n=Na *p * x /M

n=6.0221 *10^{23} * 350*250 / 18

n=292.740 *10^{28} carriers /m^{3}