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The drawing shows a sulfur dioxide molecule

Physics Aug 27, 2020

The drawing shows a sulfur dioxide molecule. It consists of two oxygen atoms and a oxygen atom.

Find the coordinate of the center mass of the sulfur dioxide molecule. See attached file for full problem description.

Expert Solution

Think of dividing S atom into 2 halves. Now consider the bond between one O atom and one half of S. Because one half of S and O have equal weights, the center of mass for this bond will be at the middle of the bond, which is 0.143/2 = 0.0715 (nm).
So the y-coordinate of this is = 0.0715*cos60 = 0.03575 (nm)
Because the bonds are symmetric, this will also be the y-coordinate of center of mass of the molecule. Hence answer = 0.03575 nm

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