Speed of the molecules on the gas kinetics theory

In summary, the conversation discusses the relationship between the speed of molecules in gas and the speed barrier of light. It mentions the equation v=sqrt(3kT/m) where k is Boltzmann, T is Kelvin, and m is mass of the element. The concept of equipartition and its relation to temperature and speed is also mentioned, along with the idea that temperature can be infinitely large.
  • #1
geoorge
11
0
How we can face the speed of the molecules on the gas kinetics theory and the speed barrier of light ?

because v=sqrt(3kT/m)

were k is boltzman
T = kelvin
and m = mass of the element


remember the huge T of the big bang
 
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  • #2
geoorge said:
How we can face the speed of the molecules on the gas kinetics theory and the speed barrier of light ?
because v=sqrt(3kT/m)
were k is boltzman
T = kelvin
and m = mass of the element
remember the huge T of the big bang
Equipartition means E = 3kT/m (for a monoatomic gas). This involves v=sqrt(3kT/m) only when E=1/2 mv2, i.e. only for small v values (nonrelativistic speeds). In special relativity E=(1/2)mv2/sqrt(1-v2/c2).
However v has an upper limit, kinetic energy doesn't. So temperature can be arbitrarily huge.
 
Last edited:
  • #3
is a huge energy

I would like to clarify that the speed of molecules in the gas kinetics theory refers to the average speed of molecules in a gas at a given temperature. This speed is dependent on the temperature and mass of the molecules, as shown in the equation v=sqrt(3kT/m). The speed barrier of light, on the other hand, refers to the speed limit at which anything in the universe can travel, which is approximately 3x10^8 meters per second in a vacuum.

In relation to facing the speed of molecules on the gas kinetics theory and the speed barrier of light, it is important to understand that these two concepts operate in different scales and contexts. The speed of molecules in a gas is on a microscopic level, while the speed of light is on a macroscopic level. Additionally, the speed of light is a universal constant that cannot be exceeded, while the speed of molecules in a gas can vary depending on the temperature and mass of the molecules.

The idea of facing these two speeds together may arise from the concept of the Big Bang, where the initial expansion of the universe was thought to have occurred at a speed faster than the speed of light. However, this does not violate the speed barrier of light as the expansion of the universe was not a movement of physical objects, but rather the expansion of space itself.

In conclusion, the speed of molecules on the gas kinetics theory and the speed barrier of light are two separate concepts that operate in different scales and contexts. While the speed of light is a universal constant, the speed of molecules in a gas can vary and is dependent on various factors. It is important to understand these differences and not conflate the two concepts.
 

Related to Speed of the molecules on the gas kinetics theory

1. What is the significance of the speed of molecules in gas kinetics theory?

The speed of molecules in gas kinetics theory is important because it helps us understand the behavior of gases at a molecular level. It is a key factor in determining properties such as pressure, temperature, and volume in a gas system.

2. How is the speed of molecules related to temperature?

According to the kinetic theory of gases, the average speed of gas molecules is directly proportional to the temperature of the gas. This means that as the temperature increases, the molecules move faster and vice versa.

3. Can the speed of molecules in a gas change?

Yes, the speed of molecules in a gas can change due to factors such as temperature, pressure, and molecular weight. As these variables change, the speed of molecules will also change accordingly.

4. How is the speed of molecules related to pressure?

Based on the ideal gas law, there is an inverse relationship between the speed of molecules and pressure. This means that as pressure increases, the speed of molecules decreases and vice versa.

5. How do scientists measure the speed of molecules in a gas?

There are various techniques used to measure the speed of molecules in a gas, such as the effusion method, diffusion method, and thermal conductivity method. These methods involve measuring the rate at which molecules move in a gas under controlled conditions.

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