Dipole moment and net torque of an atom

Click For Summary
SUMMARY

The discussion focuses on calculating the net charge of the HCl molecule and the maximal torque it experiences in an electric field. The dipole moment of HCl is given as 3.4 x 10-30 C·m, with a separation distance of 1.0 x 10-10 m. The torque (τ) is calculated using the formula τ = P × E, resulting in a value of 2.3 x 10-27 Nm. Additionally, the energy required to rotate the molecule 45° from its equilibrium position is determined to be approximately 6.74 x 10-28 J.

PREREQUISITES
  • Understanding of dipole moments and their significance in molecular chemistry.
  • Familiarity with torque calculations in electric fields.
  • Knowledge of energy calculations related to molecular orientations.
  • Basic algebra for manipulating equations and solving for unknowns.
NEXT STEPS
  • Study the formula for calculating dipole moments in detail.
  • Learn about the relationship between charge, distance, and dipole moment.
  • Explore the concept of torque in electric fields and its applications.
  • Investigate energy calculations in molecular physics, particularly in relation to angular displacement.
USEFUL FOR

Chemistry students, physicists, and anyone interested in molecular interactions and electric field effects on dipoles.

Parad0x88
Messages
73
Reaction score
0

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:
Physics news on Phys.org
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.
 

Similar threads

  • · Replies 33 ·
2
Replies
33
Views
3K
  • · Replies 25 ·
Replies
25
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
2
Views
2K
Replies
10
Views
2K
  • · Replies 1 ·
Replies
1
Views
5K
  • · Replies 10 ·
Replies
10
Views
7K
Replies
3
Views
6K
  • · Replies 1 ·
Replies
1
Views
4K