Should there be a constant in the RHS of (5.8)?

In summary, velocity distribution refers to the statistical distribution of velocities among a group of particles or objects. It is often represented graphically and can be affected by factors such as temperature, pressure, and particle properties. Velocity distribution is important in physics as it helps us understand the behavior of systems on a microscopic level and is related to kinetic theory, which explains macroscopic properties of gases.
  • #1
Pushoam
962
52

Homework Statement


upload_2017-9-14_13-57-38.png
upload_2017-9-14_13-59-2.png
upload_2017-9-14_14-5-7.png


Homework Equations

The Attempt at a Solution


I want to ask whether there should be a constant in RHS of (5.8).
 
Physics news on Phys.org
  • #2
There is a ##\propto## in the previous step.
 
  • #3
Orodruin said:
There is a ##\propto## in the previous step.
So, ##g(v_x) ~g(v_y)~g(v_z) ~dv_x ~dv_y ~dv_z ∝ e^{(\frac{-~½mv^2}{k_BT})} ~dv_x ~dv_y ~dv_z ##. Right?
 
  • #4
Yes
 
  • #5
Thank you for helping me.
 

FAQ: Should there be a constant in the RHS of (5.8)?

What is velocity distribution?

Velocity distribution refers to the statistical distribution of velocities among a group of particles or objects. It helps describe the overall motion and behavior of a system.

How is velocity distribution represented?

Velocity distribution is often represented graphically, with velocity on the x-axis and the number of particles or objects with that velocity on the y-axis. This creates a curve that can vary in shape depending on the system and its properties.

What factors can affect velocity distribution?

The shape and characteristics of velocity distribution can be influenced by factors such as temperature, pressure, and the mass and size of the particles or objects in the system. External forces or interactions can also play a role.

Why is velocity distribution important in physics?

Velocity distribution is important in physics because it helps us understand the behavior of systems on a microscopic level. It can provide insights into the properties and interactions of particles or objects, and can be used to make predictions about their behavior.

How is velocity distribution related to kinetic theory?

Velocity distribution is a key concept in kinetic theory, which is the study of the motion of particles in a gas. The theory uses the idea of velocity distribution to explain the macroscopic properties of gases, such as temperature and pressure, based on the behavior of individual particles.

Similar threads

Back
Top