A process instrument reading, Zvolts, is thought to be related to a process stream flow

Chapter 2, Problem 2.47

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A process instrument reading, Z(volts), is thought to be related to a process stream flow rate \(\dot{V}(\mathrm{~L} / \mathrm{s})\) and pressure P(kPa) by the following expression:

\(Z=a \dot{V}^{b} P^{c}\)

Process data have been obtained in two sets of runs—one with \(\dot{V}\) held constant, the other with P held constant. The data are as follows:

(a) Suppose you had only performed runs 2, 3, and 5. Calculate a, b, and c algebraically from the data for these three runs.

(b) Now use a graphical method and all the data to calculate a, b, and c. Comment on why you would have more confidence in this result than in that of Part (a). (Hint: You will need at least two plots.)

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