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

Kirchhoff's Equation and Temperature Dependence

by Notetube Officialtopic_detail summary127 words8 views

wordcountword_{count}: 180

deltaHdelta_H(T2) = deltaHdelta_H(T1) + deltaCpdelta_{Cp}(T2 - T1). deltaCpdelta_{Cp} = sum(Cp products) - sum(Cp reactants). This relates reaction enthalpy at different temperatures. Similarly: deltaUdelta_U(T2) = deltaUdelta_U(T1) + deltaCvdelta_{Cv}(T2 - T1). Physical meaning: if deltaCpdelta_{Cp} > 0 (products have higher heat capacity), the reaction becomes more endothermic (or less exothermic) with increasing temperature. If deltaCpdelta_{Cp} < 0, the reaction becomes more exothermic with increasing temperature. If deltaCpdelta_{Cp} = 0, enthalpy is temperature-independent. Application: calculating deltaHdelta_H at non-standard temperatures when standard data is given at 298 K. The equation assumes Cp is constant over the temperature range (valid for small deltaTdelta_T). For large ranges, integration with Cp as a function of T is needed (rarely required for JEE). Also applies to entropy: deltaSdelta_S(T2) = deltaSdelta_S(T1) + deltaCpdelta_{Cp} lnT2T1\frac{T2}{T1}.

Want to generate AI summaries of your own documents? NoteTube turns PDFs, videos, and articles into study-ready summaries.

Sign up free to create your own