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If following molecules undergo dimerisat...

If following molecules undergo dimerisation then find the value of `(YZ)/(X):`
(i) `CiO_(3)`
(ii) `OF`
(iii) `GaH_(3)`
(iv) `AlCl_(3)`
(v) `IC l_(3)`
(vi) `BeH_(2)`
(vi) `NO_(2)`

Where X=Number of molecules which are hypevalennt in dimeric form.
Y=Number of molecules which complete octet in dimer form
Z=Number of molecules which are hypovalent in dimeric form.

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The correct Answer is:
To solve the problem, we need to analyze each of the given molecules and determine the values of X, Y, and Z based on their dimerization behavior. ### Step-by-Step Solution: 1. **Identify Hypervalent, Hypovalent, and Complete Octet Molecules:** - **Hypervalent:** Molecules with more than 8 electrons in the valence shell. - **Hypovalent:** Molecules with fewer than 8 electrons in the valence shell. - **Complete Octet:** Molecules that have exactly 8 electrons in the valence shell. 2. **Analyze Each Molecule:** - **(i) ClO₃:** - Dimerizes to form Cl₂O₆. - Each Cl atom has more than 8 electrons (hypervalent). - **Count:** Hypervalent = 2, Complete Octet = 0, Hypovalent = 0. - **(ii) OF:** - Dimerizes to form O₂F₂. - Each O atom has 8 electrons and each F has 8 electrons (complete octet). - **Count:** Hypervalent = 0, Complete Octet = 2, Hypovalent = 0. - **(iii) GaH₃:** - Dimerizes to form Ga₂H₆. - Each Ga atom has less than 8 electrons (hypovalent). - **Count:** Hypervalent = 0, Complete Octet = 0, Hypovalent = 2. - **(iv) AlCl₃:** - Dimerizes to form Al₂Cl₆. - Each Al atom has 8 electrons (complete octet). - **Count:** Hypervalent = 0, Complete Octet = 2, Hypovalent = 0. - **(v) ICl₃:** - Dimerizes to form I₂Cl₆. - Each I atom has more than 8 electrons (hypervalent). - **Count:** Hypervalent = 2, Complete Octet = 0, Hypovalent = 0. - **(vi) BeH₂:** - Dimerizes to form Be₂H₄. - Each Be atom has less than 8 electrons (hypovalent). - **Count:** Hypervalent = 0, Complete Octet = 0, Hypovalent = 2. - **(vii) NO₂:** - Dimerizes to form N₂O₄. - Each N atom has 8 electrons (complete octet). - **Count:** Hypervalent = 0, Complete Octet = 2, Hypovalent = 0. 3. **Summarize the Counts:** - **Hypervalent (X):** ClO₃ (2) + ICl₃ (2) = 4 - **Complete Octet (Y):** OF (2) + AlCl₃ (2) + NO₂ (2) = 6 - **Hypovalent (Z):** GaH₃ (2) + BeH₂ (2) = 4 4. **Calculate the Values of X, Y, and Z:** - X = 4 (hypervalent) - Y = 6 (complete octet) - Z = 4 (hypovalent) 5. **Calculate the Value of (YZ)/(X):** \[ \frac{YZ}{X} = \frac{(6)(4)}{4} = \frac{24}{4} = 6 \] ### Final Answer: The value of \((YZ)/(X)\) is **6**.

To solve the problem, we need to analyze each of the given molecules and determine the values of X, Y, and Z based on their dimerization behavior. ### Step-by-Step Solution: 1. **Identify Hypervalent, Hypovalent, and Complete Octet Molecules:** - **Hypervalent:** Molecules with more than 8 electrons in the valence shell. - **Hypovalent:** Molecules with fewer than 8 electrons in the valence shell. - **Complete Octet:** Molecules that have exactly 8 electrons in the valence shell. ...
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