Arrange the following hydrides in the order of decreasing bond angle:
(A) SbH3
(B) AsH3
(C) PH3
(D) NH3
A
B > A > D > C
B
B > A > C > D
C
D > C > B > A
D
A > C > B > D
Step-by-Step Solution
Central Atom Trend: All these hydrides (MH3) involve Group 15 elements (N, P, As, Sb). They all have a pyramidal structure with one lone pair of electrons.
Bond Angle Trend: The bond angle depends on the electronegativity and size of the central atom. As we move down the group from Nitrogen to Antimony, the electronegativity decreases and atomic size increases.
Repulsion: In NH3, nitrogen is small and highly electronegative, pulling the bonding electron pairs closer to itself. This creates greater repulsion between the bond pairs, opening up the bond angle to 107.8° .
Heavier Analogues: For PH3, AsH3, and SbH3, the bonding pairs are further away from the central atom due to lower electronegativity and larger size. This reduces bond pair-bond pair repulsion. Additionally, Drago's rule suggests that for heavier elements (P, As, Sb), the s-orbital contribution in bonding is minimal (bonds are formed primarily by p-orbitals), resulting in bond angles closer to 90°.
Specific angles: PH3 (~93.6°) > AsH3 (~91.8°) > SbH3 (~91.3°).
Conclusion: The correct order of decreasing bond angle is NH3>PH3>AsH3>SbH3, which corresponds to D > C > B > A.
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