1. (30 points) Find the first-order rate constant for the disappearance of A in a batch reactor for gas phase reaction 2A-R if, on holding the pressure constant, the volume of the reaction mixture, starting with 80 per cent A (20 per cent inerts) decreases by 20 per cent in three minutes. the equation A+B+R+S has the following 2. (10 points). A reaction with the stoichiometric rate equation: -r=2C%5CB. What is the rate equation for this reaction if the stoichiometric equation is written as A+2B2R+S? Explain your answer. 3. (20 points) Four reactors are available for the production of R by a second-order reaction. The reactors include two CSTRS (50 and 100 liters) and two PFRS (150 and 200 liters). How would you arrange the reactors in series to optimize the conversion? Why? 4. (40 points) The elementary gas-phase reaction A 0.5 C is carried out in a constant- volume, constant-temperature batch reactor. Starting with a total pressure of 2 atmospheres and 50 per cent inerts, the pressure falls to 1.8 atmospheres in 2 minutes. The pressure л= PА + Pc+ PI- (a) Find the reaction rate constant, k. The reactor is then operated as a constant-pressure, constant-temperature reactor, starting with a total pressure of 2 atmospheres and 20 per cent inerts. (b) Find &A. (c) Find XA when the volume is reduced by 10 per cent. (d) Find t when the volume is reduced by 10 per cent.