# Particle Velocity Calculator

The Particle Velocity Calculator is a versatile tool that calculates particle velocity from other input factors like temperature and mass. To obtain the average velocity of a gas particle quickly, simply enter the mass and temperature of the gas and then press the calculate button.

**Particle Velocity Calculator:** Trying to figure out how to determine a gas particle's average velocity? Then, without further ado, take a look at our Particle Velocity Calculator and see what you can come up with. Particle Velocity Definition, Formula, Procedure for Calculating the Average Velocity of a Gas Particle, and more are covered in this article. Furthermore, you can study about the Maxwell-Boltzmann Distribution and its formula in detail.

### Particle Velocity Definition

The velocity of a particle in a medium as it transmits a wave is known as particle velocity. It's also known as the Maxwell-Boltzmann Equation or the Maxwell-Boltzmann Distribution.

### Maxwell-Boltzmann Distribution

The particles in a gas move and collide according to Newton's Equation of Motion. The Order of Avogadro number 10^{(-23)}., on the other hand, makes tracing particle motion impossible. As a result, temperature is used to define gas particles.

If you're asking what the speed of a particle in a gas is, the Maxwell-Boltzmann distribution is a good place to start. The probability of a particle with velocity v is given by **f(v)=(m/(2π*k*T)) ^{(3/2)}4π*v^{2}*Exp(-m*v^{2}/(2*k*T))**.

- where, m is the particle's mass
- T is the gas's temperature
- v is the velocity
- k is the Boltzmann Constant and k = 1.3806*10
^{(-23)}J/K

### Average Velocity of a Particle

We may find the formula for Average Velocity of a Particle in Gas by using the Maxwell-Boltzmann Equation:v=(8*k*T/(π*m))^{(1/2)}.

Where,

- The Boltzmann Constant is denoted by K.
- T stands for Temperature.
- m be the mass of particles.
- v is the mean or average speed.

### How Do You Work Out Particle Velocity?

To simply determine particle velocity, follow the simple steps outlined below. They are dressed in the style shown below.

- To begin, determine the particle's mass.
- Next, determine the gas's temperature.
- Substitute the known input values in the particle velocity formula, i.e.=(8*k*T/(π*m))
^{(1/2)}. - Keep solving the equation to obtain the particle velocity in gas.

### Particle Velocity Examples

**Question 1:** Calculate the average velocity if the mass of the particle is 10.0g with 30 degree Celsius of Temperature.

**Solution:**

Consider the problem, we have

Mass=10.0g

Temperature=303.15K

We know the formula to calculate the Maxwell-Boltzmann Equation:**v=(8*k*T/(π*m)) ^{(1/2)}.**

Where, k = 1.3806*10^{−23}J/K is the Boltzmann constant,

Convert Temprature 30 celsius into Kelvin

Temprature = 303.15 K

Velocity = 1.03x10^{09}m/s

As a result,The average velocity is 1.03x10^{09}m/s

### FAQs on Particle Velocity Calculator

**1. What is the Formula for Particle Velocity?**

The formula to calculate the particle velocity is (8*k*T/(π*m))^{(1/2)}

**2. What does Particle Velocity imply?**

The velocity of a particle in a medium when it transmits a wave is known as particle velocity.

**3. What factors influence particle velocity?**

The velocity of a particle is determined by the time and location of the particle.