Dipole moment and net torque of an atom

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Homework Help Overview

The discussion revolves around the dipole moment and net torque of the HCl molecule, focusing on calculating the net charge on each atom, the maximal torque experienced in an electric field, and the energy required to rotate the molecule from its equilibrium position.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the formulas related to dipole moment, torque, and energy calculations. There are attempts to derive the net charge from the dipole moment and separation distance, with some questioning the formulas needed for these calculations.

Discussion Status

Some participants have provided calculations for torque and energy, while others are seeking clarification on the formula for dipole moment and how to determine the charge of each atom. There is an ongoing exploration of the relationships between the variables involved.

Contextual Notes

Participants express uncertainty regarding the formulas available in their resources and the assumptions they can make about the charges in the dipole. There is a mention of the challenge in identifying which atom's charge is being calculated.

Parad0x88
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Homework Statement


The HCl (hydrochloric acid) molecule has a dipole moment of about 3.4x10-30 C.m. The two atoms are separated by about 1.10-10 m. What is the net charge on each atom? What is maximal torque that this dipole will experience in a 5.104 N/C electric field? How much energy one would need to rotate one molecule 45o from its equilibrium orientation?

Homework Equations


A) Can't figure out which formula to use to find the net charge
B) τ = P X E
C) Not sure about this one: W = ΔU = U45° - U = - PE Cos45° - (- PE Cos 0°)

NOTE: For B, I am assuming that the initial angle is 0° to make my life easier since the information is not provided

The Attempt at a Solution


A) Can't figure out which formula to use to find the net charge

B) 3.4 X 10 -30 Cm χ 5 X 104 N/C = 2.3 X 10-27 Nm, or Joules

C) (-2.3 X 10-27J X cos 45°) + 2.3 X 10-27J
= -1.626 X 10-27J + 2.3 X 10-27J = 6.74 X 10-28J

Does that make sense for B and C? And could you give me any pointers for A?

Thank you!
 
Last edited:
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I don't know what the rule is with bumping, but here it is, anyone has any idea for this problem?
 
Do you know the formula for dipole moment?
 
Pranav-Arora said:
Do you know the formula for dipole moment?

I tried to find it in my book, but the only formula I have is the one to find the torque, which I used in B, and the formula which I used in C

However, to find the charge in a dipole moment I do not seem to have the formula written down. I've browsed through my book but I don't seem to find it.

Edit: Heh just did a Wikipedia search: Dipole moment can be defined as the product of magnitude of charge & distance of separation between the charges (I didn't have that formula written down)

Knowing this, would question A be:

Dipole = Charge X Distance

3.4 X 10-30 Cm = Charge X 1 X 10-10 m

(3.4 X 10-30 Cm) / (1 X 10-10 m) = Charge (meters cancel out)

However, how can I differentiate to know whether I found the charge of which atom or the molecule?
 
Last edited:
Parad0x88 said:
However, how can I differentiate to know whether I found the charge of which atom or the molecule?

In dipole the charges are equal, so one of the charge will be q and the other -q.
 

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