Entropy production in a homogeneous chemical system

Example 8.8 Entropy production in a homogeneous chemical system The oxidation of sulfur dioxide to trioxide over a vanadium pentoxide catalyst is 

Sulfur trioxide is used to produce sulfuric acid, one of the most common chemicals used in industry. The reaction is strongly exothermic. Here, a tubular reactor is considered. The following relations are from Kjelstrup et al. (1999). The entropy production rate per unit volume of a chemical reactor is given by 

The solution of this equation is possible for a particular expression for. /r. 

Considering a nonlinear chemical reaction, a practical solution may be obtained by the integration of the Gibbs-Helmholtz equation from equilibrium to optimal state 

At equilibrium,, lcq = 0. The equilibrium temperature for a given conversion is found by using the condition Jr = 0. When we know the enthalpy of the reaction as a function of temperature, we can carry out the integral in Eq. (8.174). Since Xopt is known from Eq. (8.173), we can then find Tqpt- 

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Example 8.7 Entropy production in a homogeneous chemical system... 

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