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The moment of inertia for HCl gas can be determined from its microwave spectrum, which property of the HCl molecule may be obtained from the moment of inertia:
- a)The vibrational frequency.
- b)The force constant.
- c)The bond strength.
- d)The bond length.
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The moment of inertia for HCl gas can be determined from its microwave...
**Explanation:**
The moment of inertia of a molecule is a measure of its resistance to rotational motion. In the case of a diatomic molecule like HCl, the moment of inertia is directly related to the bond length between the two atoms.
When a diatomic molecule rotates, it behaves like a rigid rotor, and its moment of inertia can be calculated using the formula:
*I = μr^2*
where *I* is the moment of inertia, *μ* is the reduced mass of the molecule, and *r* is the bond length.
In the microwave spectrum of a molecule, rotational transitions are observed when the molecule absorbs microwave radiation and undergoes a change in its rotational energy level. These transitions occur when the frequency of the microwave radiation matches the energy difference between two rotational states.
By analyzing the microwave spectrum of HCl gas, the moment of inertia of the molecule can be determined. Since the moment of inertia is directly related to the bond length, this information can be used to calculate the bond length between the hydrogen and chlorine atoms in the HCl molecule.
Therefore, from the moment of inertia, the bond length of the HCl molecule can be obtained.
Hence, the correct answer is option **D) The bond length**.
The moment of inertia of a molecule is a measure of its resistance to rotational motion. In the case of a diatomic molecule like HCl, the moment of inertia is directly related to the bond length between the two atoms.
When a diatomic molecule rotates, it behaves like a rigid rotor, and its moment of inertia can be calculated using the formula:
*I = μr^2*
where *I* is the moment of inertia, *μ* is the reduced mass of the molecule, and *r* is the bond length.
In the microwave spectrum of a molecule, rotational transitions are observed when the molecule absorbs microwave radiation and undergoes a change in its rotational energy level. These transitions occur when the frequency of the microwave radiation matches the energy difference between two rotational states.
By analyzing the microwave spectrum of HCl gas, the moment of inertia of the molecule can be determined. Since the moment of inertia is directly related to the bond length, this information can be used to calculate the bond length between the hydrogen and chlorine atoms in the HCl molecule.
Therefore, from the moment of inertia, the bond length of the HCl molecule can be obtained.
Hence, the correct answer is option **D) The bond length**.
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Community Answer
The moment of inertia for HCl gas can be determined from its microwave...
Moment of inertia (I) =(mM÷m+M) r^2
Where m and M are masses of two atoms of the molecule & r is the bomd length.
Thus from this r=[(IMm) ÷M+m] ^. 5
Where m and M are masses of two atoms of the molecule & r is the bomd length.
Thus from this r=[(IMm) ÷M+m] ^. 5
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The moment of inertia for HCl gas can be determined from its microwave spectrum, which property of the HCl molecule may be obtained from the moment of inertia:a)The vibrational frequency.b)The force constant.c)The bond strength.d)The bond length.Correct answer is option 'D'. Can you explain this answer?
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