1 (i)Consider single-stage multi-component isothermal flash distillation. Draw the process and define the variables. The feed temperature, composition, equilibrium temperature and pressure are known. Write the generalized model equations. For composition independent equilibrium constant K values, simplify the model equations for the simulation of percent vaporization (w), liquid and gas phase composition. O Draw the information flow diagram for isothermal flash and write the algorithm of the numerical technique to be used for solving the percent vaporization (4). (M) A 100 kmol/h feed consisting of 10,20,30,40 mol% of Propane, n-butane, n pentane and n hexane, respectively is isothermally flash distilled at a constant pressure and temperature. At a flash temperature 366.5 K and 689.5 kPa the Ki values (independent of composition) for Propane, n butane n pentane and n hexane are 4.2, 1.75, 0.74 and 0.34, respectively. Calculate the percent vaporization and liquid and vapor phase compositions using the algorithm in question (iii). (show the iteration wise results and convergence).

2 Consider a continuous stirred tank chemical reactor that has a single second order reaction and an outlet flowrate that is linearly related with the volume of the liquid in the reactor (F-BV). Fin is the inlet flowrate (liter/min), Cin is the inlet concentration (gmol/liter), C is the tank concentration (gmol/liter), V is the tank volume (liter), k is the reaction rate (=2 liter/(gmol min)), is the flow coefficient (=1 min-). (i) (ii) (iii) (iv) Write the model equations. Define the state variables, input variables and output variables. Derive the steady state values of the state variables for the following values of input variables: Fin=1liter/min, Cin-1gmole/liter. Linearize around the above steady state and write the state space model [x'=Ax+Bu; y=Cx+Du]. Calculate the numerical values of A,B,C matrix elements. Define deviation variable for state, input and outputs. Calculate the eigen values of A matrix and mention whether the steady state is stable/unstable.