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A form of Coulomb\'s Law, equation shown below, can be used to estimate the forc

ID: 1024082 • Letter: A

Question

A form of Coulomb's Law, equation shown below, can be used to estimate the force(s) interacting between static electrically charged particles. In this equation q_1 and q_2 are the signed magnitudes of the charges of the particles in Coulombs (C), k is Coulomb's constant (8.99 Times 10^9 J m C^-2), r is the distance between the two charges, and D is the dielectric constant of the medium in which the interaction occurs. Furthermore, the force of interaction (F) between the charges is attractive if the charges have opposite signs (i.e., F is negative) and repulsive if like-signed (i.e., F is positive). F = kq_1 q_2/D r Use Coulomb's Law to qualitatively explain why a salt crystal such as NaCl remains intact in benzene (D = 2.27) but dissociates into ions in water (D = 78.5). Given the dielectric constants in and ionic radii below, use Coulomb's Law to quantitatively answer the same question. It helps to know that roughly 6.241 Times 10^18 electrons represent 1 Coulomb. Radius_cl^- = 0.181 nm Radius_Na+ = 227 pm

Explanation / Answer

from coulombs law we know the value of constant always remains same for k,q1,q2

but D, r differs where D is dielectric constant of medium and r is distance between charges

As the D and r value is more then F value decreases which makes the NaCl to dissociate easily in water rather than benzene.

As D value for water is nearly 39 times that of benzene which makes the force of attraction decreases between them 39 times when compared to benzene and form easily ions and conducts path for electron movement.

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