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Question 63 of 63

Q.(a) List the characteristics of Gibbs free Energy.

(5) OR
(b)
(i) Compare the structures of H2O and H2O2.
(3)
(ii) Explain the exchange reaction of Deuterium. (2)
Tamil Nadu DgeTamil Nadu HSC First Year (DGE) Board 2026Subjective· 5mImportance★★★★★est
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This is a 5-mark either/or question; both alternatives are answered below.

(a) Gibbs free energy G = H - TS is a state function whose change ΔG = ΔH - TΔS decides spontaneity and equals the maximum useful work; (b) H2O is bent while H2O2 is a non-planar open-book molecule, and deuterium undergoes exchange reactions such as H2 + D2 → 2HD.

PART (a) — Characteristics of Gibbs free energy (G):

  1. It is a thermodynamic state function — its change depends only on the initial and final states, not the path.
  2. It is an extensive property (depends on the amount of substance) and has the units of energy (J or kJ).
  3. It is defined as G = H - TS (H = enthalpy, T = absolute temperature, S = entropy).
  4. Its change at constant T and P is ΔG = ΔH - TΔS.
  5. It is the criterion of spontaneity: ΔG < 0 → spontaneous (feasible); ΔG = 0 → system at equilibrium; ΔG > 0 → non-spontaneous.
  6. The decrease in Gibbs free energy equals the maximum useful (non-expansion/net) work obtainable from a process: -ΔG = W(max, useful).
  7. It is related to the equilibrium constant by ΔG° = -RT ln K.

PART (b)(i) — Structures of H2O and H2O2:

  • H2O (water): a bent/angular molecule; the oxygen is sp3 hybridised with two bond pairs and two lone pairs; H-O-H bond angle is about 104.5°.
  • H2O2 (hydrogen peroxide): a non-planar, 'open-book' (skew) structure. The two oxygen atoms are joined by an O-O single bond, and each oxygen carries one H atom lying in a different plane; the O-O-H bonds are arranged with a dihedral angle of about 111° (in the gas phase).

PART (b)(ii) — Exchange reaction of deuterium: …

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