Help with thermodynamics question please

K. Using the equation for average energy and kinetic energy, we can set them equal to each other and solve for the height, using the mass of an oxygen molecule and the acceleration due to gravity. This will give us the height needed for the oxygen molecule to reach the desired kinetic energy at the bottom. In summary, to find the height, we can use the equation 6.21 x 10^-21 = mgh, where m is the mass of an oxygen molecule and g is the acceleration due to gravity, to solve for h.
  • #1
pureouchies4717
99
0
this is the question:

From what height must an oxygen molecule fall in a vacuum so that its kinetic energy at the bottom equals the average energy of an oxygen molecule at 300 K?

i know how to find the average energy:

average energy= (3/2)K(b)T
= 6.21 x 10^-21

i also know how to find the kinetic energy of an oxygen molecule:

K= 1/2 m v(rms)^2

the only problem is that i don't know how to get the distance. can someone please help
 
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  • #2
Use conservation of total energy and keep in mind that gravity is the force that is responsible for making the molecule fall down.

regards
marlon
 
  • #3
thanks!

so then:

6.21 x 10^-21 = mgh

is that the right setup?
 
Last edited:
  • #4
nick727kcin said:
thanks!

so then:

6.21 x 10^-21 = mgh

is that the right setup?

yes

marlon
 

1. What is thermodynamics and why is it important?

Thermodynamics is the branch of science that deals with the study of energy and its transformations. It is important because it helps us understand how energy is converted from one form to another, and how it affects the behavior of matter.

2. What is the first law of thermodynamics?

The first law of thermodynamics states that energy cannot be created or destroyed, only transformed from one form to another. This means that the total energy in a closed system remains constant.

3. Can you explain the difference between heat and temperature?

Heat is a form of energy that is transferred from a hotter object to a cooler object, while temperature is a measure of the average kinetic energy of the particles in a substance. In other words, heat is the transfer of energy, while temperature is a measure of the intensity of that energy.

4. How does thermodynamics relate to everyday life?

Thermodynamics is present in many aspects of our daily lives, from the functioning of our bodies (which rely on energy conversions to function) to the operation of machines and vehicles. It also plays a role in weather patterns, cooking, and many other natural and man-made processes.

5. Can you give an example of the second law of thermodynamics?

The second law of thermodynamics states that the total entropy (a measure of disorder or randomness) of a closed system will always increase over time. An example of this is a hot cup of coffee placed in a cold room - the heat energy from the coffee will eventually spread out and dissipate, resulting in a decrease in temperature and an increase in entropy.

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