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Coulomb's constant 'k' in the equation F=kQQ/r2 is derived from Gauss's law. Gauss's law stated that the charge enclosed by a theoretical surface is equal to the permittivity constant, represented by the Greek letter epsilon (because I can't use an epsilon, I will use an X) times the electric flux through the surface. Flux is equal to the closed integral of electric field vector dot the vector dA (infinitesimal change in surface area) of the surface. Becasue the surface surrounding one point charge is a perfect sphere, the dot product can be ignored (The surface is uniform and every change in area is normal to the electric field), and the Electric field is constant so it can be brought out of the integral leaving integral dA. When the integral is solved, the resulting equation is XEA=Q. A equals the surface area of the sphere so XE(4*pi*r2)=Q and E=Q/(4*pi*X*r2) and because F=EQ, F=QQ/(4*pi*X*r2). This is probably looking pretty familiar. All we have to do is make k=1/(4*pi*X) to make this equation equal to good old Coulomb's law. X, the permittivity constant equals 8.854*10-12 Farads per meter, or coulombs squared seconds squared per kilograms meters cubed. If you substitute this constant into the equation k=1/(4*pi*X), you obtain Coulmb's constant.

Q: What is the derivation of Coulomb's constant?

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It is 8.9875517873681764×109 N·m^2/C^2

newtons * meters squared / coulombs squared

8.998 X 10^9 N*m^2/C^2

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It is 8.9875517873681764×109 N·m^2/C^2

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Well it is used in certain Chemical equations and to derive other constants. As an example the charge on an electron = 1.6019 x 10-19 coulombs. So a mole of electrons will be 6.023 x 1023 (Avagadro) x 1.6019 x 10-19 coulombs per mole = 96495 coulombs per mole which is Faraday's constant

newtons * meters squared / coulombs squared

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The mathematical expression is Q = nF, where Q is the total charge in coulombs, n is the number of moles of electrons transferred (in this case, 3 moles for iron III sulfate to iron metal), and F is the Faraday constant (96,485 C/mol). Therefore, the number of coulombs necessary would be Q = 3 * 96485 C/mol = 289,455 C.

W = (I*t*A)/(n*F)where:W = weight of plated metal in grams.I = current in coulombs per second.t = time in seconds.A = atomic weight of the metal in grams per mole.n = valence of the dissolved metal in solution in equivalents per mole.F = Faraday's constant in coulombs per equivalent. F = 96,485.309 coulombs/equivalent.

Limitations of coulombs law

Coulomb is a unit of electric charge while Faraday is a unit of electric charge quantity present in one mole of electrons. One Coulomb is equal to one Faraday constant, which is approximately 96,485 coulombs.

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The population of Coulombs-en-Valois is 606.

The variable for charge in coulombs is typically represented by the letter "Q".