Energy produced by oxygen molecule vibrating

[wallstreet]

Homework Statement

An oxygen molecule vibrates so that the distance between its intramolecular bonds changes from 1 Angstrom to 3 Angstrom. This change occurs 1000 times every second. If the average speed of the movement is 100 m/s, and the weight of the molecule is 10^-26 kg, how much energy is produced by these vibrations?

Homework Equations

KE=1/2mv^2

The Attempt at a Solution

KE= 1/2 x 10^-27 kg x 100m/s^2
= 5 x 10^-25 Joules ? (This is not correct, the answer is 1 x 10^-22 Joules)

 

[anathema]

Thank you for your inquiry. Your attempt at a solution is close, but you have made a mistake in your calculation. The correct equation for kinetic energy is KE=1/2mv^2, where m is the mass and v is the velocity. In this case, the mass is 10^-26 kg and the velocity is 100 m/s. Plugging these values into the equation, we get:

KE=1/2 x 10^-26 kg x (100 m/s)^2
= 1 x 10^-22 Joules

Therefore, the correct answer is 1 x 10^-22 Joules, as you mentioned in your post. I hope this helps clarify your confusion. Let me know if you have any further questions.

 

[kerimek]

I would like to clarify that the formula for kinetic energy is KE=1/2mv^2, where m is the mass of the object and v is its velocity. In this case, the mass of the oxygen molecule is 10^-26 kg and the average speed of its movement is 100 m/s. Plugging these values into the formula, we get:

KE = 1/2 x 10^-26 kg x (100 m/s)^2
= 1 x 10^-22 Joules

Therefore, the energy produced by the vibrations of the oxygen molecule is 1 x 10^-22 Joules. This energy is a result of the kinetic energy of the molecule as it moves back and forth between 1 Angstrom and 3 Angstrom. This type of vibrational energy is a form of potential energy that can be converted into other forms, such as thermal energy or sound energy. It is an important aspect of molecular motion and plays a significant role in various chemical and physical processes.