The viscosity of a certain fluid (u) can be given as a function of the absolute temperature (T ) by the equation: H=ae where a and , are parameters. The following data is obtained experimentally. T °C) U (Pa.s) 10 20 35 45 50 4.680x10-3 3.408x10-3 2.536x10-3 1.688x103 1.314x10-3 1.166x10-3 a. What would you plot on rectangular coordinates to get a straight line? b. What will be the slope and the intercept of the plot proposed in part (a)? c. Find the value and the units of the parameters a and b.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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The viscosity of a certain fluid (u) can be given as a function of the absolute temperature (T ) by the equation:
H=ae
where a and , are parameters.
The following data is obtained experimentally.
T (°C)
U (Pa.s)
10
20
35
45
50
4.680x10-3
3.408x10-3
2.536x10-3
1.688x10-3
1.314x10-3
1.166x10-3
a. What would you plot on rectangular coordinates to get a straight line?
b. What will be the slope and the intercept of the plot proposed in part (a)?
c. Find the value and the units of the parameters a and b.
d. Using two-point linear find the viscosity at a temperature of 25 °C.
e. What will be the viscosity at 40 °C using the equation proposed?
f. Will the values of the parameters a and b change if the units of the viscosity and temperature are changed? Justify your answer.
Transcribed Image Text:The viscosity of a certain fluid (u) can be given as a function of the absolute temperature (T ) by the equation: H=ae where a and , are parameters. The following data is obtained experimentally. T (°C) U (Pa.s) 10 20 35 45 50 4.680x10-3 3.408x10-3 2.536x10-3 1.688x10-3 1.314x10-3 1.166x10-3 a. What would you plot on rectangular coordinates to get a straight line? b. What will be the slope and the intercept of the plot proposed in part (a)? c. Find the value and the units of the parameters a and b. d. Using two-point linear find the viscosity at a temperature of 25 °C. e. What will be the viscosity at 40 °C using the equation proposed? f. Will the values of the parameters a and b change if the units of the viscosity and temperature are changed? Justify your answer.
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