Question

the distance between the centres of C2 and O2 atoms in Carbon Monoxide gas molecule is 1.3*10^-10 meters . locate center of mass of the molecule related to Carbon atom ....with explanation please...​​

Answer 1

Solution

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Let m  

1

 and m  

2

​  be the masses of carbon and oxygen atom respectively. Let 'd' be the distance of separation between the center of carbon and oxygen atoms.

Let x  1

​  be the position of the carbon

and x  2

​be the position of the oxygen atom

We can write the center of mass of this system as:

x  CM  =  m  1  +m  2 ​m  1 ​ x  1  +m  2  x 2

​Here we need to find the position of the center of mass of CO molecule with respect to carbon atom

So, x  

1  =0 m$ and x  2

​ =1.12×10  

−10

 m

m  

1 mass of carbon atom =12 U

and m  

1   mass of oxygen atom =16 U

Now, x  

CM  =  

12+16

12×0+16×1.12×10  

−10

 

​

 

x  

CM  =6.4×10  −11 ]  m x  CM

​

=0.64×10  

−10

 m

Hence the position of center of mass of CO molecule with respect to carbon atom =0.64×10  

−10

 m