JEE Main & Advanced Sample Paper JEE Main - Mock Test - 8

  • question_answer
    The bond angle between two hybrid orbitals is \[105{}^\circ \]. The percentage of s-character of hybrid orbital is between

    A) 50-55%    

    B) 9-12%

    C) 21-23%

    D) 11-12%

    Correct Answer: C

    Solution :

    s-character \[\propto \] bond angle
    For 25%  s character (as in \[s{{p}^{3}}\]hybrid orbital), bond angle is \[109.5{}^\circ ,\]for 33.3% text{ }s\]character (as in \[s{{p}^{2}}\]hybrid orbital), bond angle is \[120{}^\circ \]and for 50%  s character (as in \[sp\]hybrid orbital), bond angle is \[180{}^\circ .\]
    Similarly, when the bond angle decreases below \[109.5{}^\circ ,\] the s-character will decrease accordingly.
    Decrease in angle \[=120{}^\circ -109.5{}^\circ =10.5{}^\circ \]
    Decrease in s-character \[=33.3-25=8.3\]
    Actual decrease in bond angle \[=109.5{}^\circ -105{}^\circ =4.5{}^\circ \]
    Expected decrease in s-character\[=\frac{8.3}{10.5}\times\] 4.5=3.56%
    Thus, the s-character should decrease by about 3.56%
    i.e., s-character = 25 - 3.56 = 21.44%
     


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