A hydrogen chloride molecule consists of a hydrogen atom whose mass mH is 1.01 u (atomic...
A hydrogen chloride molecule consists of a hydrogen atom whose mass mH is 1.01 u (atomic mass units) and a chlorine atom whose mass is mCl is 35.0 u. The centers of the two atoms are a distance d = 1.27 × 10−10 m = 127 pm apart. We want the rotational inertia Icom of the molecule about an axis perpendicular to the line joining the two atoms and passing through the center of mass of the molecule. We will work in atomic mass units and picometers, so that the unit for Icom is u · pm2, which is commonly used for molecules (you will see why in the last question).
a) What is the value of a in picometers? (This requires the center-of-mass equation for two particles.)
b) We now know the value of rC1 for the chlorine atom: rC1=a. What is rH for the hydrogen atom?
c) What is the rotational inertia of the molecule about its center of mass?
d) What is the rotational inertia I in kilograms and meters? The conversion between atomic mass units and kilograms is 1 u=1.661×10-27 kg.
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