A methane molecule has one carbon and four hydrogen atoms arranged so that the hydrogen atoms are at vertices of a regular tetrahedron and the carbon is at the center. The angle between each pair of carbon-hydrogen bonds is the same. Find this angle. (Suggestion: Assume that the distance from C to each H is 1; put the C atom at the origin, find the spherical coordinates of the H atoms, convert to rectangular coordinates, and examine the dot products of pairs of vectors from C to various H’s.)
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