Question

Calculate the energies of the first four rotational levels of 1H^127I free to rotate in three dimensions; use for its moment of inertia I = μR^2, with μ = mHmI/(mH + mI) and R = 160 pm. Use integer relative atomic masses for this estimate.

          Calculate the energies of the first four rotational levels of 1H^127I free to rotate in three dimensions; use for its moment of inertia I = μR^2, with μ = mHmI/(mH + mI) and R = 160 pm. Use integer relative atomic masses for this estimate.
        
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Chemistry: Structure and Properties
Chemistry: Structure and Properties
Nivaldo Tro 2nd Edition
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Calculate the energies of the first four rotational levels of 1H^127I free to rotate in three dimensions; use for its moment of inertia I = μR^2, with μ = mHmI/(mH + mI) and R = 160 pm. Use integer relative atomic masses for this estimate.
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Transcript

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00:01 So firstly we will have to calculate moment of inertia that is mu equals to mass of h, mass of i from mass of h plus mass of i after calculating these we will get 1 .648 into 10 degrees to the power minus 27 kg then we will calculate moment of inertia it is mu r square where r values given new we have calculated.
00:28 Putting these values and r is given 160 picometer we will convert it in meters and the value is 4 .219 into 10 ways to the power minus 47 kg meter square.
00:48 So now we'll calculate rotational constant it is h square divided by 8 by square i after putting these values you will get 1 .32 into 10 degrees to the power minus 22 joules.
01:03 Rotational energy levels we can calculate by using formula v.
01:11 J into j plus 1 for e0 then that is 1 .32 into 10 to the power minus 22 into 0 into 1 answer is 0 jule...
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