# Number Density Calculator

Utilize the free Number Density Calculator tool to get the number density of metal in a fraction of seconds. Simply enter substance density, molar mass, and a number of free electrons in the given input fields of the calculator and press on the calculate button to check the result quickly.

### Steps to Evaluate Number Density

The following are the simple steps to calculate the charge carrier number density of the metal easily. Check the guiding principles and rules and follow them to obtain the result in a short span of time.

- Get the substance density, molar mass, number of free electrons from the question.
- Multiply the material density, number of free electrons per atom and avogadro constant.
- Divide the product by molar mass of the object to find the charge carrier number density.

### Number Density Formula

The number density is defined as an intensive quantity that is used to describe the degree of concentration of countable objects like molecules, particles, cells, phonons, galaxies and others.

Students can find the charge carrier density of metals using our Number Density Calculator.

A charge carrier is a particle that carries an electric charge during the current flow.

The formula to calculate the charge carrier number density of metal is along the lines:

**n = Na * ρ * x / M**

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 x 1023 1/mol

ρ is the density of the material

**Example**

**Question: The number of free electrons and density of copper is 150 and 8.96 g/cm3. Find the number density of copper?**

**Solution:**

Given that

Density of copper ρ = 8.96 g/cm3

Number of free electrons in copper x = 150

Molar mass of copper M = 63.55 g/mol

Number density formula is n = Na * ρ * x / M

n = 6.0221 x 1023 x 150 x 8.96 x 106 / 63.55

= 1273.7 x 1028 carriers/m3

Therefore, the number density of copper is 1273.7 x 1028 carriers/m3

Physicscalc.Com has got concepts related to fluid mechanics, classical mechanics, waves, optics, rotational and periodic motion all one under one roof.

### Frequently Asked Questions on Number Density Calculator

**1. What is a charge carrier?**

A charge carrier is a particle that carries an electric charge during the current flow. The type of charge carrier depends on the structure of the material in which the charge is transported.

**2. What is the formula to calculate the number density?**

The formula to compute the charge carrier density is n = Na * ρ * x/M. Where, n is the charge carrier number density, ρ is the density of a material, x is the number of free electrons per atom, M is the molar mass, Na is the Avogadro constant Na = 6.0221 x 1023 1/mol.

**3. What is number density?**

Number density is an intensive quantity that is used to describe the degree of concentration of countable objects.

**4. How to use Number Density Calculator?**

Provide density, molar mass, and the number of free electrons details in the input fields of the calculator to get the number density of a substance as output easily.