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help!! thanks 8 The figure shows one layer of the three-dimensional structure of

ID: 1661453 • Letter: H

Question

help!! thanks

8 The figure shows one layer of the three-dimensional structure of a salt crystal. The atoms extend much farther off in all directions, but only a six-by-six square is shown here. The larger circles are the chlorine ions, which have charges of-e, where e-1.60 × 10-19 C. The smaller circles are sodium ions, with charges of +e. The center- to-center distance between neighboring ions is about 0.3 nm. Real crystals are never perfect, and the crystalshown here has two de- fects: a missing atom at one location, and an extra lithiu shown as a grey circle, inserted in one of the small gaps. If the lithium atom has a charge of te, what is the direction and mag- nitude of the total force on it? Assume there are no other defects nearby in the crystal besides the two shown here. [Hints: The force on the lithium ion is the vector sum of all the forces of all the quadrillions of sodium and chlorine atoms, which would obviously be too laborious to calculate. Nearly all of these forcts, however, are canceled by a force from an ion on the opposite side of the lithium . ) ( ) "o ) ) ) ^ A m ^

Explanation / Answer

Li ion will experience zero net force because vector sum of all forces cancel each other and net force on li ion =0

since it is crystal with alternate cation and anion hence force applied by 1 atom is canceled by other atom that is symmetrically opposite to it hence making net force =0