UPSC Civil Services (Mains), Chemistry optional · 2016 · Paper I
Q1(a)(i). Bond angles of CH₄, NH₃ and H₂O
Question
The bond angles in CH₄, NH₃ and H₂O molecules are 109.5°, 107° and 104.5° respectively. Explain.
Answer in brief
All three central atoms carry four electron pairs in a tetrahedral arrangement. Lone pairs repel more strongly than bond pairs, so each lone pair added closes the H–X–H angle: 109.5° (no lone pair), 107° (one), 104.5° (two).
Key points
- C, N and O each have four electron pairs in the valence shell (sp³). Four pairs keep apart best at the corners of a tetrahedron.
- four identical bond pairs, so a perfect tetrahedron: 109.5° (the tetrahedral angle, cos⁻¹(-13)).
- three bond pairs and one lone pair. The lone pair is held by one nucleus only and spreads closer to N; its larger repulsion pushes the three N–H bonds together: 107°
- two bond pairs and two lone pairs. lp–lp repulsion is the largest of all, so the two O–H bonds are squeezed further: 104.5°
The full model answer
Written out in full, as it should go in the answer booklet. The solution page with its diagrams follows it.
- C, N and O each have four electron pairs in the valence shell (sp³). Four pairs keep apart best at the corners of a tetrahedron.
- CH₄: four identical bond pairs, so a perfect tetrahedron: 109.5° (the tetrahedral angle, cos⁻¹(-13)).
- NH₃: three bond pairs and one lone pair. The lone pair is held by one nucleus only and spreads closer to N; its larger repulsion pushes the three N–H bonds together: 107°
- H₂O: two bond pairs and two lone pairs. lp–lp repulsion is the largest of all, so the two O–H bonds are squeezed further: 104.5°
- The same trend in hybrid language: the lone pairs take more s character, leaving more p character in the bonding orbitals, and p orbitals meet at 90°. The shape seen is tetrahedral, pyramidal and bent.
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All parts of Question 1
- 1(a)(i) Bond angles of CH₄, NH₃ and H₂O5 marks
- 1(a)(ii) Dipole moments of BF₃ and PF₃5 marks
- 1(b) Residual entropy of CO and N₂O10 marks
- 1(c)(i) Derivation of the Bragg equation5 marks
- 1(c)(ii) Spacing of the (110) planes of a cubic cell5 marks
- 1(d) Continuity of state: Andrews' isotherms of CO₂10 marks
- 1(e) Specific conductance of saturated BaSO₄10 marks