refer to the book elements of chemical reactor design 4th Ed

provide equations and polymath code if possible

P8-26 c (Comprehensive Problem on multiple reactions with heat effecrs) Styrene can be prodoced from ethylbenzene by the following reaction: ethylbenzenestyrene+H2 However, several irreversible side reactions also occur: ethylbenzenebenzene+ethyleneethylbenzene+H2toluene+methane (2) [J. Snyder and B. Subramaniam, Chem. Eng. Scl.s 49.5585 (1994)]. Ethylbenzene is fed at a rate of 0.00344kmol/s to a 10.0m3 PFR (PBR) along with inert steam at a total pressure of 2.4atm. The steam/ethylbenzene molar ratio is initially [i.e., parts (a) to (c)] 14.5:1 but can be varied. Given the followiatg data, find the exiting molar flow rates of styrene, benzene, and toluene along with Ssits for the following inlet temperatures when the reactor is operated adiabatically. (a) Te=800K (b) T0=930K (c) T0=1100K 586 Sleady-Stale Nonisothermal Reactor Design Chap. 8 (d) Find the ideal inlet temperature for the production of styiene for a steam/ethylbenzene ratio of 58:1. (Hint: Plot the molar flow rate of styrene versas T0. Explain why your curve looks the way it does.) (e) Find the ideal steam/ethylbenzene ratio for the production of styrene at 900K. [Hent: See part (d).] (f) It is proposed to add a counter current heat exchanger with Ua= 100kJ/min/K where Te is virtually constant at 1000K. For an entering stream to ethylbenzene ratio of 2, what would you suggest as an entering temperature? Plot the molar flow rates and Sw ar . (g) What do you believe to be the points of this problem? (h) Ask another question or suggest another calculation that can be made for this