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...


The viscosity of a certain fluid (u) can be given as a function of the absolute temperature (T ) by the equation:<br>H=ae<br>where a and , are parameters.<br>The following data is obtained experimentally.<br>T (°C)<br>U (Pa.s)<br>10<br>20<br>35<br>45<br>50<br>4.680x10-3<br>3.408x10-3<br>2.536x10-3<br>1.688x10-3<br>1.314x10-3<br>1.166x10-3<br>a. What would you plot on rectangular coordinates to get a straight line?<br>b. What will be the slope and the intercept of the plot proposed in part (a)?<br>c. Find the value and the units of the parameters a and b.<br>d. Using two-point linear find the viscosity at a temperature of 25 °C.<br>e. What will be the viscosity at 40 °C using the equation proposed?<br>f. Will the values of the parameters a and b change if the units of the viscosity and temperature are changed? Justify your answer.<br>

Extracted 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.

Jun 08, 2022
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