A chemical rcaction in a batch reactor generates three chemicals A, B, and C, which will have NA, NB and Nc moles at any time t. The reaction rates, given as k; for i = 1, 2, 3 (in units of moles per hour) arc shown in the diagram bclow. kij kis kiz (a) Write down the three ODES that describe this system, and put this into system form. (b) Explain physically why this system has a zero cigenvalue. (c) Initially the reactor is filled with 100 moles of A and 250 moles of C. If the rate constants are ki = 4, k2 = 1 and k3 3, find expressions for the number of moles of A, B and C for any time t, and the number of moles of cach at the stcady state.

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Chapter1: Chemical Foundations
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A chemical reaction in a batch reactor gencrates three chemicals A, B, and C, which will have NA, NB
and Nc moles at any time t. The reaction rates, given as k; for i = 1,2,3 (in units of molcs per hour)
are shown in the diagram below.
kj
kis
ki,
(a) Write down the three ODES that describe this system, and put this into system form.
(b) Explain physically why this system has a zero cigenvalue.
(c) Initially the reactor is filled with 100 moles of A and 250 moles of C. If the rate constants are
k1 = 4, k2 = 1 and k3 3, find expressions for the number of moles of A, B and C for any time t,
and the number of moles of cach at the stcady state.
Transcribed Image Text:A chemical reaction in a batch reactor gencrates three chemicals A, B, and C, which will have NA, NB and Nc moles at any time t. The reaction rates, given as k; for i = 1,2,3 (in units of molcs per hour) are shown in the diagram below. kj kis ki, (a) Write down the three ODES that describe this system, and put this into system form. (b) Explain physically why this system has a zero cigenvalue. (c) Initially the reactor is filled with 100 moles of A and 250 moles of C. If the rate constants are k1 = 4, k2 = 1 and k3 3, find expressions for the number of moles of A, B and C for any time t, and the number of moles of cach at the stcady state.
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