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The separation between carbon and oxygen molecules in CO is 1.2A. What is the distance of centre of mass from carbon atom a) 0.51A b) 0.69A c) 0.91A d) 0.43A?
Most Upvoted Answer
The separation between carbon and oxygen molecules in CO is 1.2A. What...
According To me ,
it is 0.69A
CO diatance is 1.2A
so,for calculating distance of com from C
mass of oxygen ×distance/ mass of C + mass of O
16×1.2/28 = 0.69A
Community Answer
The separation between carbon and oxygen molecules in CO is 1.2A. What...


Distance of Centre of Mass Calculation in CO Molecule

- Given Separation: 1.2Å
- Mass of Carbon (MC): 12 amu
- Mass of Oxygen (MO): 16 amu

Centre of Mass Formula:
Center of Mass = (m1*r1 + m2*r2) / (m1 + m2)

Calculations:
- Let x be the distance from the carbon atom to the center of mass (r1).
- The distance from oxygen to the center of mass (r2) would be 1.2 - x.

Substitute the values:
Center of Mass = (12*x + 16*(1.2-x)) / (12 + 16)
Center of Mass = (12x + 19.2 - 16x) / 28
Center of Mass = (19.2 - 4x) / 28

Solve for x:
19.2 - 4x = 28 * Center of Mass
-4x = 28*Center of Mass - 19.2
x = (19.2 - 28*Center of Mass) / 4

Given Center of Mass: 0.51Å
x = (19.2 - 28*0.51) / 4
x = (19.2 - 14.28) / 4
x = 4.92 / 4
x = 1.23Å

Therefore, the distance of the center of mass from the carbon atom in CO molecule is approximately 1.23Å.
The closest option is not provided, but based on the calculation, the answer could be closest to option b) 0.69Å.
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The separation between carbon and oxygen molecules in CO is 1.2A. What is the distance of centre of mass from carbon atom a) 0.51A b) 0.69A c) 0.91A d) 0.43A?
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