How Many Electrons to Transfer for a 3.00e4 N Force Between Silver Spheres?

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SUMMARY

The discussion focuses on calculating the number of electrons that need to be transferred between two small silver spheres, each weighing 12.0 g, to generate an attractive force of 3.00e4 N. Using Coulomb's Law (F = k[q1q2/r^2]), participants outline the steps to determine the necessary charge magnitude to achieve this force. The calculation involves finding the total number of electrons in each sphere, which is derived from the number of atoms per gram of silver (using Avogadro's number and the molar mass of silver, 107.87 g/mol). Ultimately, the fraction of electrons transferred is calculated based on the total number of electrons in one sphere.

PREREQUISITES
  • Coulomb's Law (F = k[q1q2/r^2])
  • Understanding of atomic structure, specifically silver's electron configuration
  • Knowledge of Avogadro's number (6.022e23)
  • Basic principles of electrostatics and charge conservation
NEXT STEPS
  • Calculate the total number of electrons in a silver sphere using Avogadro's number and the molar mass of silver.
  • Explore the implications of charge transfer in electrostatic interactions.
  • Investigate the effects of distance on electrostatic force as described by Coulomb's Law.
  • Learn about the practical applications of electrostatic forces in real-world scenarios.
USEFUL FOR

Students in physics, educators teaching electrostatics, and anyone interested in the principles of charge transfer and electrostatic forces.

cmilho10
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Two small silver spheres, each with a mass of 12.0 g, are separated by 1.00 m. Calculate the fraction of the electrons in one sphere that must be transferred to the other to produce an attractive force of 3.00e4 N (about 3 tons) between the spheres. (The number of electrons per atom of silver is 47, and the number of atoms per gram is Avogadro's number divided by the molar mass of silver, 107.87 g/mol.)

Any help would be appreciated...i'm so confused with this material right now:frown:

I'm guessing you will use coulombs law of course (F=k[q1q2/r^2])
 
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With the information at hand, you can calculate how many electrons there actually are in each sphere. Also, as it is, both sphere are neutral: in each self respecting silver atoms, there are as many protons as there are electrons, making the total charge on each sphere 0 C. And you also know the distance btw the spheres:1.0m. So, using Coulomb law, find what charge magnitude q is necessary to create an attrative force of 3.00e4 N btw two charges a separated by 1.0m. To how many electrons does that charge correspond? That is the amount of electrons you must transfer from one sphere to the other. Finally, what fraction of the total number of electron does that represent?
 
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