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(a) What is the magnitude of the net electrostatic force exerted on the anion by

ID: 2125291 • Letter: #

Question

(a) What is the magnitude of the net electrostatic force exerted on the anion by the eight cations at the corners of the cube?
1           N

(b) If one of the cations is missing, the crystal is said to have a defect. What is the magnitude of the net electrostatic force exerted on the anion by the seven remaining cations?
2           N * i found the answer to a all i need is b i cant seam to get it right In crystals of a certain salt, singly charged cations form the eight corners of a cube and a singly charged anion is at the cube's center. The edge length of the cube is x = 0.28 nm. The cations are each deficient by one electron (and thus each has a charge of +e), and the anion has one excess electron (and thus has a charge of -e). What is the magnitude of the net electrostatic force exerted on the anion by the eight cations at the corners of the cube? If one of the cations is missing, the crystal is said to have a defect. What is the magnitude of the net electrostatic force exerted on the anion by the seven remaining cations?

Explanation / Answer

b) F = ke / (root3 x 0.28 x10^(-9) / 2)^2

        = 9x10^9x(1.6x10^(-19))^2 / (root3 x 0.28 x10^(-9) / 2)^2

        = 3.92 x 10^(-9) N