hw6 - CE 561 Homework 6: (assigned 10/01/09, due 10/12/09)...

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CE 561 Homework 6: (assigned 10/01/09, due 10/12/09) (1) Suppose we wanted to model the behavior of undergraduate students on a Saturday night at Molly's Pub in the same way we have been modeling chemical rate processes. Let N M be the number of male undergraduates in the bar, let N F be the number of female undergraduates in the bar, let N C be the number of couples in the bar, let N X be the number of individuals (male or female) that have not yet come to the bar or have left alone, and let N XC be the number of couples that have left the bar together. Then the rate processes might be written in terms of the following list of "reactions" (1) M + F C, with r 1 = k hu N M N F 2 (2) C M + F, with r 2 = k bu N C N F (3) M X, with r 3 = k la N M (4) F X, with r 4 = k la N F (5) X M, with r 5 = k ma (6) X F, with r 6 = k fa (7) C XC, with r 7 = k lt N C The numerical values of the rate constants for these processes are k hu = 0.2 events undergraduate -3 hr -1 k bu = 0.1 events couple -1 undergraduate -1 hr -1 k la = 0.3 events undergraduate -1 hr -1 k ma = 20 events hr -1 k fa = 10 events hr -1 k lt = 0.5 events couple -1 hr -1 The "initial conditions" for this problem are that at time = 0 (when the bar opens),
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hw6 - CE 561 Homework 6: (assigned 10/01/09, due 10/12/09)...

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