Created By : Vaibhavi Kumari

Reviewed By : Phani Ponnapalli

Last Updated : May 17, 2023

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*v2*Exp(-m*v2/(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*10−23J/K is the Boltzmann constant,

Convert Temprature 30 celsius into Kelvin

Temprature = 303.15 K

Velocity = 1.03x1009m/s

As a result,The average velocity is 1.03x1009m/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.