derive Gibbs Helmholtz equation
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Answer:
The Gibbs–Helmholtz equation expresses the temperature dependence of the ratio of G/T at constant pressure, which is a composite function of T as G itself also depends on the temperature.The Gibbs–Helmholtz equation is a thermodynamic equation used for calculating changes in the Gibbs energy of a system as a function of temperature. ... The equation states that the change in the G/T ratio at constant pressure as a result of an infinitesimally small change in temperature is a factor H/T2
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Answer:
The Gibbs–Helmholtz equation is a thermodynamic equation used for calculating changes in the Gibbs energy of a system as a function of temperature. It is named after Josiah Willard Gibbs and Hermann von Helmholtz.
In a widely used physical chemistry lecture book [1] the starting point to the G–H equation is the definition of Gibbs' free energy, and the relation between its temperature coefficient and entropy: G = H - TS;\; - S = \left( {\frac{\partial G}{\partial T}} \right)_{p}
Explanation:
Following are the applications of the Gibbs-Helmholtz equation: Used in the calculation of the change in enthalpy using the change in Gibbs energy when the temperature is varied at constant pressure. Used in the calculation of the change in enthalpy for a reaction with temperature other than 298K.