Problem Set 5: Problem 1 The reversible gas-phase elementary reaction CH =CH + H2 (ethylbenzene # styrene + H) is carried out in an isothermal CSTR with no pressure drop. dm3 hr mol The feed enters at a volumetric flow rate of v. = 5000 The feed consists of half ethyl benzene (i.e., A) and half inerts on a molar basis and is well mixed before it enters the reactor (I). The pressure in the reactor is 6 atm (so PAO = 3 atm and P10 = 3 atm, making the entering concentration of ethyl benzene, A, CAO = 0.04 *). The molar flow rate A is Fao = 200 At the reaction temperature of 640C, the rate constant, ka, hr is 5.92 The equilibrium constant, Kp is 9 atm and the corresponding conversion is Xe = 0.84. dm3 mol . mol dm3.hr atm (a) Write out each step of the algorithm. (b) Write the rate of reaction, -ra, solely as a function of P20X, Kand k. (c) Calculate the reactor volume necessary to achieve 90% of the equilibrium conversion, Xe. (d) How would the conversion from part (a) be affected if the reactor diameter increased and height decreased but total volume remained the same? Explain. Problem 2