Answered: Gibb’s free energy is defined as G≡H-TS…

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Gibb’s free energy is defined as G≡H-TS and H ≡ U+PV. Show that dU=TdS-PdV, dH=TdS+VdP and dG=VdP-SdT.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter3: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 37P: Find the work done in the quasi-static processes shown below. The states are given as (p, V) values...

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Concept explainers

Boltzmann statistics of Ideal gas

In statistical mechanics and thermodynamics, Maxwell - Boltzmann statistics explains the statistical distribution of the energies of the classic gas molecules over different states in thermal equilibrium. Maxwell Boltzmann statistics helps us to derive the Maxwell - Boltzmann distribution of ideal gas molecules, which is the result of the kinetic theory of gases.

Question

Gibb’s free energy is defined as G≡H-TS and H ≡ U+PV. Show that dU=TdS-PdV, dH=TdS+VdP and dG=VdP-SdT.

2. If non-PV work is done (P and T constant), dU= TdS-PdV +dw_other. Knowing that dH=dU+PdV+VdP and dG= dH-SdT-TdS, show that dG=dw_other. We often call free energy the chemical work for a reaction!

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