the temperature in a jacketed reactor can be controlled by adjusting the flowrate of the cooling water going through the cooling jacket.

Project Description:

the temperature in a jacketed reactor can be controlled by adjusting the flowrate of the cooling water going through the cooling jacket. the exact relationship between the reactor temperature t(ºc) and the flowrate of the cooling water mc (l/s) is extremely complex. it is desired to derive a simple empirical formula to approximate this relationship over a limited range of flowrates and temperatures. experiments were set up and data were taken for temperature against cooling water flowrate as
follows:

mc (l/s) 25 40 55 70 90
t (ºc) 237 138 96 73 55


i. what is the empirical relationship between mc and t? to get full mark for this part, you should show your working to support the result, e.g. the r-squared value, values and units of the all
constants in the empirical expression that best fit the experimental data. notes: high-order polynomials of order greater than 3 should not be used to represent the relationship between mc and t.


ii. using the developed expression, calculate the flowrates of cooling water required to maintain the temperature of the reactor at 30ºc, 100ºc and 350ºc.


iii. in which of the three estimates in part (ii) would you have the most confidence and in which would you have the least confidence? explain your reasoning.


iv. the american distributor insists that the relationship should be given for the flowrate in gal/s and temperature in ºf. derive the new empirical formula. test the formula by calculate the flowrate of cooling water required in gal/s to maintain the temperature of the reactor at 212ºf.
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