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A reaction is studied in a school chemistry laboratory. The production rate R (kg/h) of a chemical is modeled as a cubic in the reactant concentration c (mol/L):
For four test runs, the technician recorded the concentration and the time to produce 1kg of the chemical:
Using the table, one can compute the rate R (kg/h) at each concentration by inverting the “time per kg”.
Use a cubic regression to determine k,m,n, and p and state the model.
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Using your model, estimate the time (in minutes) to produce 1kg when c=1.80 mol/L.
For what values of c in the range 0.50≤c≤2.00 does the model predict a rate of at least 3.0 kg/h?
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