Question

Calculate the bond length of HCl molecule if its moment of inertia is 2×10–40 gm cm2 and reduced mass is 1.0 g mol–1.​

Answer 1

Explanation:

Mass of Cl atom= 35.55×10

−27

kg

mass of H atom=1.66×10

−27

kg

Total mass of the molecule= 37.21×10

−27

kg

Distance between the two atoms= 10

−10

m

Distance from the axis of rotation, d=

2

10

−10

d=0.5×10

−10

m

Moment of inertia, I=mr

2

I=37.21×10

−27

×(0.5×10

−10

)

2

kg.m

2

=9.3025×10

−47

kg.m

2