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Order of bond length can be given as...

Order of bond length can be given as

A

`H_(2)=D_(2)=T_(2)`

B

`H_(2) lt D_(2) lt T_(2)`

C

`H_(2)gtD_(2)gtT_(2)`

D

`D_(2)ltH_(2)ltT_(2)`

Text Solution

AI Generated Solution

The correct Answer is:
To determine the order of bond lengths for the isotopes of hydrogen (H₂, D₂, and T₂), we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Isotopes**: - Hydrogen (H) has one proton and no neutrons. - Deuterium (D) has one proton and one neutron. - Tritium (T) has one proton and two neutrons. - The isotopes differ in their mass due to the number of neutrons. 2. **Bond Formation**: - All three molecules (H₂, D₂, and T₂) are diatomic and formed by the sharing of two electrons between two atoms. - The bond length is influenced by the mass of the atoms involved. 3. **Effect of Mass on Bond Length**: - Generally, heavier isotopes (like D and T) have slightly longer bond lengths compared to lighter isotopes (like H) due to the increased mass leading to lower vibrational frequencies. - However, the difference in bond lengths among these isotopes is minimal. 4. **Comparing Bond Lengths**: - The bond lengths can be summarized as follows: - H₂ bond length: approximately 0.74 Å - D₂ bond length: approximately 0.74 Å (slightly longer than H₂) - T₂ bond length: approximately 0.75 Å (slightly longer than D₂) - Therefore, the bond lengths are very close to each other. 5. **Conclusion**: - The order of bond lengths can be given as: - H₂ ≈ D₂ ≈ T₂ - Hence, we conclude that the bond lengths of H₂, D₂, and T₂ are almost equal. ### Final Answer: The order of bond lengths is: H₂ ≈ D₂ ≈ T₂.
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