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A mathematical model is presented for simulating the steady-state catalytic dehydrogenation of ethylbenzene to styrene and other associated side reactions. The various differential equations describing the material and energy balances were integrated using a fourth-order Runge-Kutta method on an IBM 7090. Several runs on the computer were made to study the effect of change in feed rates, feed-to-steam ratio, and inlet temperature and pressure, on styrene yield. It is shown how, with the computer results, a profit equation for a particular plant may be derived for possible use in on-line optimization and control.
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