Continuous reaction in a gas reactor

Let us consider the case of several gas reactions taking place inside a reaction vessel, which will have a fixed volume, y. In general, there may be N chemicals in the reactor, undergoing M reactions. It is assumed that there is sufficient turbulence and diffusion within the gas vessel for perfect mixing to occur. Heat may be given to or taken from the reactor. 

We shall assume that the mole fractions of the inlet streams are known, kxi and ky, so that we may use equation (11.28) from Chapter 11, Section 11.4, to give the average molecular weights, wx and W) , of the inlet streams  

The inflows of gas in kg/s will depend on the upstream pressures and specific volumes and on the pressure in the reaction vessel, in the way described in Chapter 11, Section 11.3, equation (11.9)  

Ax and Ay are the cross-sectional areas (m ) of the pipes bringing in feed-streams X and Y, 

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