# In a HCL molecule the separation between the nuclei of two atoms is 1.27x10∧-10m. Find the location of center of mass of the molecule, if the Cl atom is 35.5 times as massive as a hydrogen atom.

1
by Gok

2014-08-13T01:59:57+05:30

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Treating them as point masses along the separation line between the two:

Let the position of center of mass be x meters from hydrogen atom. Let center of mass be at position 0.

Mass of hydrogen * distance of H atom from center of mass + Mass of chlorine * distance of chlorine atom from center of mass = 0

1 * (- X - 0) + 35.5 * (1.27 * 10^-10 - X  - 0) = 0
- X + 35.5 * 1.27 * 10^-10 - 35.5 X = 0
36.6 X = 35.5 * 1.27 * 10^-10
X = 3.47 * 10^-12 m
Center of mass is 1.23 * 10^-10 meters away from hydrogen atom.