It is desired to carry out the gaseous reaction A → B in an existing tubular reactor consisting of 50 parallel tubes 40 ft long with a 0.75-in. inside diameter. Bench-scale experiments have given the reaction rate constant for this first-order reaction as 0.00152 s 1 at 200 F and 0.0740 s 1 at 300 F. At what temperature should the reactor be operated to give a conversion of A of 80% with a feed rate of 500 lb m/h of pure A and an operating pressure of 100 psig? A has a molecular weight of 73. Departures from perfect gas behavior may be neglected, and the reverse reaction is insignificant at

3. consider a process in which a gas with the properties of air expands at constant pressure as described by the cups of air discussion in class. one kilogram of air starts out at 1 atm and 290 k. the air expands its volume by absorbing a sufficient amount of thermal energy to increase the temperature at constant pressure to 350 k. a. on a p-v diagram, sketch this process with point a as the starting point and point b as the ending point. b. if the process is completely reversible, calculate the thermal energy added from an external source. c. calculate the entropy change for this process assuming it is reversible. d. calculate the work delivered externally if this is a reversible process. e. if the process is completely irreversible, calculate the amount of entropy change for the process that is due to irreversibilities. f. if the process is completely irreversible, calculate the amount of thermal energy added from an external source and compare this result to the thermal energy calculated in part b. g. for the completely irreversible process, calculate the entropy change due to this thermal energy addition. h. for the completely irreversible process, calculate the total entropy change and compare it to the entropy change in part c.