Touque and Work from a Dipole Moment

In summary, the problem involves a dipole with charges +q and -q separated by 0.62nm in an electric field of 2.6×104 C/N. The question is asking for the work required to rotate the dipole from being parallel to the field to being antiparallel. Equations are provided, including one for torque, and the correct answer is 5.2E-24 J. However, the formula provided has an integral from 0 to 90 degrees, which may not be correct. The person asking the question also mentions wearing a touque while working on the problem, potentially indicating they are in Quebec.
  • #1
Cllzzrd
7
0
Problem:
A dipole consists of charges +q and -q separated by 0.62nm . It is in an electric field 2.6×104 C/N.

What is the work required to rotate the dipole from being oriented parallel to the field to being antiparallel to the field?

Equations:
. 90
w=[tex]\int[/tex](p*E*sin(x)
. 0

t=p*E*sin(x)

Work:

The first part asked for the dipole moment, which i found to be 9.9E-29 C*M

So i calculated the torque to be 2.6E-24 N*M, and the second part was the torque at 45 degrees. I found that this was 1.8E-24 N*M.

The last part asked for the work if it was turned from parallel to the electric field to antiparallel.

so I used the formula above and kept getting 1.47E-24 J. The correct answer was 5.2E-24 and I cannot figure out how to get that answer.

Disclaimer: The only reason I know the correct answer is because I got the wrong answer too many times and so it showed me the right answer. I need to figure out how to do this problem.
 
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  • #2
Cllzzrd said:
The last part asked for the work if it was turned from parallel to the electric field to antiparallel.

so I used the formula above and kept getting 1.47E-24 J. The correct answer was 5.2E-24 and I cannot figure out how to get that answer.
Why does your formula have the integral from 0 to 90? You are going from parallel to antiparallel.
 
  • #3
More importantly, why are you wearing a touque while working on this? Are you in Quebec?
 
  • #4
D'oh!
 
  • #5
Doc Al said:
D'oh!

Let's see how long this takes...
 

FAQ: Touque and Work from a Dipole Moment

1. What is a dipole moment and how does it relate to touque?

A dipole moment is a measure of the separation of positive and negative electrical charges within a molecule. It is related to touque, or torque, as it describes the force that is applied to a molecule when an electric field is present, causing the molecule to rotate.

2. How is a dipole moment measured?

A dipole moment is typically measured in units of Debye (D), with 1 Debye equal to 3.33564 x 10^-30 Coulomb-meters. It can be measured experimentally using techniques such as microwave spectroscopy or X-ray crystallography.

3. What is the significance of a large dipole moment in a molecule?

A large dipole moment in a molecule indicates a greater separation of positive and negative charges, which can impact the molecule's chemical and physical properties. For example, molecules with large dipole moments tend to have higher melting and boiling points, as well as increased polarity and solubility.

4. Can a molecule have a dipole moment if it is symmetrical?

Yes, a molecule can have a dipole moment even if it is symmetrical. This is because the dipole moment takes into account the magnitude and direction of the charges, not just the overall shape of the molecule.

5. How does dipole moment play a role in chemical reactions?

Dipole moment plays a significant role in chemical reactions as it can affect the polarity and reactivity of molecules. For example, molecules with larger dipole moments tend to have stronger intermolecular forces, which can impact the rate of a reaction. Additionally, the orientation and alignment of dipole moments in different molecules can influence their ability to interact and form new chemical bonds.

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