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ProblemSet4

# ProblemSet4 - ChE 101 2012 Problem Set 4 Read Schmidt...

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ChE 101 2012 Problem Set 4 Read Schmidt, Chapter 4 1. Consider the reactions A D, r 1 = k 1 c 2 A A B, r 2 = k 2 c A B C, r 3 = k 3 with B the desired product. In the subsequent problems, you may use Mathematica to evaluate integrals and simplify algebraic expressions. (a) Determine the yield and selectivity for B as a function of τ and c A, 0 in a CSTR. (b) Repeat (a) for a PFR. (c) Find the value of τ that maximizes the yield of B in a CSTR. (d) Repeat (c) for a PFR. 2. Computational problem of the week: In lecture, we saw that an arbitrary system of S chemical reactions involving N species could be represented by a single stoichiometric matrix ν , where ν ij is the stoichiometric coeﬃcient of species j in reaction i . For each of the S reactions in the system (1 i S ), the reaction rate can be expressed as r i = f ( { c j } ), where c j is the concentration of species j (1 j N ). This yields the vectorized rate law r = f ( c ), where r and c are vectors of length S and N , respectively. (a) Write a Matlab function that ﬁnds c ( τ ) for any such reaction system in a constant density CSTR. The function should take in a stoichiometric matrix ν , a function handle for the vectorized rate law

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ProblemSet4 - ChE 101 2012 Problem Set 4 Read Schmidt...

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