9. Consider the model for the chemical reaction in Section 10.7.4.

(a) Use the data shown on the next page that was obtained by running 20 experiments to t model 10.13.

(b) Make a contour plot of predicted concentration over the experimental region.

(c) Use nonlinear programming to nd the time and temperature (within the experimental limits) that maximize the predicted concentration of product. Does this result agree with your contour plot?

Transcribed Image Text:

time temperature Conc. 2.5 380 26.62 2.5 287.5 36.00 2.5 395 38.83 2.5 405 40.99 5.0 380 43.20 5.0 387.5 50.60 5.0 395 51.12 5.0 405 27.11 10.0 380 57.71 10.0 387.5 51.71 10.0 395 46.34 10.0 405 7.13 2.5 420 12.82 5.0 420 1.61 10.0 420 0.02 20.0 380 54.32 20.0 387.5 30.47 20.0 395 9.24 20.0 405 0.38 25.0 425 0.00