In a carbon monoxide (co) molecule the carbon and oxygen atoms are separated by 0.112 nm.The distance of the centre of mass from the carbon atom is
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So, in the case of CO2 the bonds are covalent and the molecule is linear and the O's are symmetric about the C. Therefore the center of mass would be at the C atom. However, you talked about carbon monoxide (CO) so which is it?
In the CO case let X = distance of C atom from center of mass and 0.112-X = distance of O atom from center of mass. Then you can use the formula below to get the Xcm.
mC*X = mO*(0.112-X) In this case X = 0.064 nm. Therefore the center of mass
for the CO molecule would be 0.064 nm from C atom.
Normally, the center of mass is calculated based on the distance (x) and mass (m) of objects from a reference point and is represented by the equation for a 2 mass system.
Xcm = (x1*m1 + x2*m2)/(m1 + m2)
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