Lecture 10 - Chemical Reaction in the Gas Phase Mixture of...

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1 Chemical Reaction in the Gas Phase Mixture of different gases Gas molecules are non interacting (Perfect gas) but chemically reacting m different kind of molecules Chemical symbols of these molecules 12 , m A A A 2 2 2 22 H O H O 2 2 2 1 2 2 0 0 m jj j H O H O aA (1) 1 2 2 2 3 2 1 2 3 a 2 a 1 a 2 # of molecules in the system | can change as a result of chemical reaction A H A O A H O NA   2 2 2 Conservation of atoms: : : 2: 2: 1 Thus for all H O H O dN dN dN dN a j (2) Consider an isolated system. Equilibrium dictates 0 dS ( , , , ) S S E V N N but and EV do not change 00 j dS dN   (3) [Note: (a) If instead of an isolated system, we consider T and V to be constant, then dF=0 which yields 0 j dN . b) Similarly if we consider T and P to be constant, then dG=0 which again yields 0 j dN . ] From(2) and (3) 1 0 m j a General condition for chemical equilibrium (4) Need to know j --- can use Canonical partition function to compute F and then
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Lecture 10 - Chemical Reaction in the Gas Phase Mixture of...

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