Part of JPC-04 — Chemical Thermodynamics: Enthalpy, Entropy & Gibbs

Enthalpy and the delta_H-delta_U Relationship

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H = U + PV. At constant pressure: deltaHdelta_H = qp. The key relationship connecting deltaHdelta_H and deltaUdelta_U for gas-phase reactions: deltaHdelta_H = deltaUdelta_U + deltangasdelta_{ngas} * RT, where deltangasdelta_{ngas} = moles of gaseous products - moles of gaseous reactants. Only count gaseous species — liquids and solids contribute negligibly to the PV change. If deltangasdelta_{ngas} = 0 (e.g., H2 + Cl2 -> 2HCl): deltaHdelta_H = deltaUdelta_U. If deltangasdelta_{ngas} > 0 (more gas moles produced): deltaHdelta_H > deltaUdelta_U. If deltangasdelta_{ngas} < 0 (fewer gas moles): deltaHdelta_H < deltaUdelta_U. Common numerical: CH4(g) + 2O2(g) -> CO2(g) + 2H2O(l). deltangasdelta_{ngas} = 1 - 3 = -2. Given deltaHdelta_H = -890 kJ: deltaUdelta_U = -890 + 2(8.314 x 10^-3)(298) = -885 kJ. Important: H2O(l) is NOT counted as a gas. This distinction between liquid and gaseous water in combustion products is a frequent trap in JEE questions. Always verify the physical state given in the problem.

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