Electric Dipole Force between Ammonia and a Proton

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SUMMARY

The electric force exerted by an ammonia molecule (NH3) with a permanent electric dipole moment of 5.0 x 10-30 Cm on a proton located 2.50 nm away is calculated using the formula Edipole = -K p / r3. The calculation yields a force of -4.60 x 10-13 N. The negative sign indicates that the force is attractive, pulling the proton towards the ammonia molecule.

PREREQUISITES
  • Understanding of electric dipole moments
  • Familiarity with Coulomb's law and electric fields
  • Knowledge of basic physics equations related to electric forces
  • Ability to perform unit conversions and scientific notation calculations
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  • Study the implications of electric dipole interactions in molecular chemistry
  • Learn about the behavior of electric fields around dipoles
  • Explore the concept of force directionality in electrostatics
  • Investigate the role of dipole moments in molecular polarity and reactivity
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Homework Statement


An ammonia molecule (NH_3) has a permanent electric dipole moment 5.0 * 10^-30 Cm . A proton is 2.50 nm from the molecule in the plane that bisects the dipole.

What is the electric force of the molecule on the proton?

Homework Equations


E_dipole = K 2p / r^3 (on axis of electric dipole)
E_dipole = -K p / r^3 (in the plane perpendicular to an electric dipole)
E_dipole = (F on q) / q

The Attempt at a Solution


p = 5.0E-30 Cm
r = 2.50E-19 m
Use second equation because the question implies its perpendicular to the electric dipole of ammonia?
q of proton = q_p = 1.60E-19 C

F_(molecule on proton) = F = E_dipole * | q of proton |
F = [-K * (p / r^3)] * |q_p|
F = [(-9.00E9) * (5.0E-30) / (2.5E-9)^3)] * 1.60E-19
F = -4.60E-13 N

Help would be awesome!
 
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The solution looks correct to me. The student should state the physical meaning of the negative sign of the answer.
 
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