Exercise - 2: Simulation of an Equilibrium Reactor [15] Consider the following reactor where stream 2 is pure ethane. 2 Reactor 3 Ethane is dehydrogenated to ethylene and acetylene in the following pair of catalytic reactions: C2H6 C2 H4 + H2 C2 H6 - C2H2 + 2H2 Let A represent ethane, B ethylene, C acetylene and D hydrogen. The reactions proceed such that the product gas composition satisfies the following equilibrium conditions: yBYD 2 = 3.75 YA ycyb = 0.135 YA where y denotes mole fraction. Let y,and 12 denote extent of first and second dehydrogenation reactions respectively. Assume 100 kmol/hr of ethane is entering the reactor. i) Provide mass balance equations for the reactor in terms of component flowrates, and y, and v2. (ii) Write equations for y, the mole fractions, in terms of the component flowrates, and y1and 12, and substitute the equations obtained in to the equilibrium conditions given above to obtain equations in terms of y1and 12. Formulate the resulting equations in GAMS and solve the equations: (a) using the CNS solver to compute values of y,and 12, and (b) using Newton's method by using GAMS as a programming language to compute values of yand 12. Provide the GAMS (.gms) codes in the report