Kinetic Theory of Gases Problem

In summary, the problem is asking for the temperature at which the translational rms speed of hydrogen molecules is equal to that of oxygen molecules at 300K. The answer given is 19K, but the person is having trouble understanding how to approach the problem. They suggest looking for a formula related to kinetic theory of gases and once found, the problem becomes simple.
  • #1
ucdawg12
10
0
ok, I am having trouble understanding exactly what this problem wants from me, its asking:

At what temperature would the translational rms speed of hydrogen molecules be equal to that of oxygen molecules at 300K?

and the answer it gives me is 19K... but I really have no idea where to even start at on this problem
 
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  • #2
Temperature is a measure of the average translational KE of the molecules in the gas. (They are directly proportional.) So how would the rms speed depend on temperature and mass?
 
  • #3
Try searching for some formula on Kinetic theory of gases!

Once you get hold of the formula, it is very simple.

(the formula is simple too)
 

FAQ: Kinetic Theory of Gases Problem

What is the Kinetic Theory of Gases?

The Kinetic Theory of Gases is a scientific theory that explains the behavior of gases based on the motion of their particles. It states that gas particles are in constant, random motion, and that their kinetic energy is directly proportional to their temperature.

How does the Kinetic Theory of Gases explain gas pressure?

The Kinetic Theory of Gases explains gas pressure as the result of gas particles colliding with the walls of their container. The more collisions that occur, the higher the gas pressure will be.

What are the assumptions of the Kinetic Theory of Gases?

The Kinetic Theory of Gases is based on three main assumptions: 1) Gas particles are in constant, random motion; 2) Gas particles are negligible in size compared to the space between them; and 3) Gas particles do not interact with each other except for collisions.

How is temperature related to the Kinetic Theory of Gases?

According to the Kinetic Theory of Gases, temperature is directly proportional to the average kinetic energy of gas particles. This means that as temperature increases, the speed and energy of gas particles also increase.

What is the significance of the Kinetic Theory of Gases?

The Kinetic Theory of Gases is significant because it provides a fundamental understanding of the behavior of gases, which is essential in many fields of science and technology. It also helps to explain various gas-related phenomena, such as diffusion, effusion, and gas laws.

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