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Bond Angle in Methane. In the methane molecule, CH4, each

Chapter 1, Problem 88P

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QUESTION:

Bond Angle in Methane. In the methane molecule, CH4, each hydrogen atom is at a corner of a regular tetrahedron with the carbon atom at the center. In coordinates for which one of the C - H bonds is in the direction of an adjacent C - H bond is in the direction. Calculate the angle between these two bonds.

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QUESTION:

Bond Angle in Methane. In the methane molecule, CH4, each hydrogen atom is at a corner of a regular tetrahedron with the carbon atom at the center. In coordinates for which one of the C - H bonds is in the direction of an adjacent C - H bond is in the direction. Calculate the angle between these two bonds.

ANSWER:

Solution 88P We can consider the provide direction of the bond as vector and then calculate the angle using vector. Step 1 The dot product of two vector A and B is given by A · B = |A||B|cos ……………………………(1) Here, theta is the angle between the vectors. Now if we write the vector in terms of its component, then the dot product can be written as A · B = AxBx+ A y +yA Bz……z………..(2) Using the above two equation we can calculate the angle.

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