- 20 3 7 Points My Notes Details Ask Your Teacher A Molecule Of Methane Ch4 Is Structured With The Four Hydrogen Atom 1 (39.96 KiB) Viewed 12 times
20. [3/7 Points] MY NOTES DETAILS ASK YOUR TEACHER A molecule of methane, CH4, is structured with the four hydrogen atoms at the vertices of a regular tetrahedron and the carbon atom at the centroid. The bond angle is the angle formed by the H-C-H combination; it is the angle between the lines that join the carbon atom to two of the hydrogen atoms. Show that the bond angle is about 109.5°. [Hint: Take the vertices of the CH₁ tetrahedron to be the points (1, 0, 0), (0, 1, 0), (0, 0, 1), and (1, 1, 1), as shown in the figure. Then the centroid is (9)] CH₂ Consider the H-C-H combination consisting of the sole carbon atom and the two hydrogen atoms that are at H₁ = (1, 0, 0) and H₂ = (0, 1, 0). Then the vectors CH₁ and CH₂ are given by and thus PREVIOUS ANSWERS √3 2 2 CH₁ CH₂= -1/4 |CH₂= x x 3 ICH₂₁1 = cos (8) SCALCET8 12.3.057. x The bond angle, 0=CH₂CH₂, therefore satisfies cos 0 - -1/3 decimal place, 0 = 109.5 Need Help? Read it Watch It so that, expressed in degrees and rounded to one