Energy Released in Coulomb Fission of Charged Spherical Droplets: A spherical droplet of some charged liquid has a radius a and total charge Q residing on its surface. At some critical charge and/or radius the outward electrostatic pressure overcomes the surface tension and the drop "explodes" into smaller drops with subcritical charge. Let's first assume that two identical droplets of radius b emerge, and that the mass density of the liquid is p. Find the energy released-that is, the difference between the initial electrostatic energy of the drop and the final energy after the fission when the two drops are far apart-which becomes kinetic energy of the drops. Express your answer as a fraction of the initial energy. How would the answer change if the charge was uniformly distributed throughout the spherical drops, instead of just the surface?
Energy Released in Coulomb Fission of Charged Spherical Droplets: A spherical droplet of some charged liquid has a radius a and total charge Q residing on its surface. At some critical charge and/or radius the outward electrostatic pressure overcomes the surface tension and the drop "explodes" into smaller drops with subcritical charge. Let's first assume that two identical droplets of radius b emerge, and that the mass density of the liquid is p. Find the energy released-that is, the difference between the initial electrostatic energy of the drop and the final energy after the fission when the two drops are far apart-which becomes kinetic energy of the drops. Express your answer as a fraction of the initial energy. How would the answer change if the charge was uniformly distributed throughout the spherical drops, instead of just the surface?
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:Energy Released in Coulomb Fission of Charged Spherical Droplets: A spherical droplet
of some charged liquid has a radius a and total charge Q residing on its surface. At
some critical charge and/or radius the outward electrostatic pressure overcomes the
surface tension and the drop "explodes" into smaller drops with subcritical charge.
Let's first assume that two identical droplets of radius b emerge, and that the mass
density of the liquid is p. Find the energy released-that is, the difference between
the initial electrostatic energy of the drop and the final energy after the fission when
the two drops are far apart-which becomes kinetic energy of the drops. Express your
answer as a fraction of the initial energy. How would the answer change if the charge
was uniformly distributed throughout the spherical drops, instead of just the surface?
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