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In the HCI molecule, the separation betw...

In the HCI molecule, the separation between the nuclei of the two atoms is about `1.27 Å (1Å =10^(10)m)`. Find the approximate location of the CM of the molecule, given that the chlorine atom is about 35.5 times as massive as a hydrogen atom and nearly all the mass of an atom is concentrated in all its nucleus.

Text Solution

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As shown in Fig suppose the H nucleus is located at the origin. Then
`x_(1)0,x_(2)=12.7Å, m_(1)=m_(2)=35.5`
The position of the CM of HCI molecule is
`x=(m_(1)x_(1)+m_(2)x_(2))/(m_(1)+m_(2))`
`(1xx0+35.5xx1.27)/(1+35.5)=1.239Å`
Thus the CM of HCl is located on the line joining and Cl nucleus at a distance of `1.235 Å` from the H nucleus
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