In performing a constant pressure filtration, the time of filtration, t (in seconds) is related to the volume of the filtrate, V (in m), collected based on the following equation: t = *V° + BV in which, when linearized, the empirical model can be expressed as: #= V +B where K, and B are parameters for the filtration model. The laboratory experiment performen summarized below. Note that the volume of the filtrate is a measured variable. t/V 0.000498 8840 0.00100 9500 0.001501 10860 0.002000 12300 0.002498 13890 0.003002 15360 0.003506 16830 0.004004 18380 0.004502 19860 0.005009 21420 The parameters K, and Bare determined by linear regression using the above table.

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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.8P
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What is the predicted filtration time when the volume of filtrate is 0.002700 m3?
39.3498
O 14,574
O 56.4166
O 16,593
Suppose that for this regression analysis, we modify the regression analysis such that the model
only becomes =V. Determine the value of K, using this regression analysis.
%3D
O 5.77 x 10
O 4.82 x 10
O 9.64 x 10
O 2.88 x 10
Suppose that for this regression analysis, we modify the regression analysis such that the model
only becomes = y. Using the new model, what is the R? value?
||
O 0.9982
O 0.9064
O 0.8464
O 0.9575
Transcribed Image Text:What is the predicted filtration time when the volume of filtrate is 0.002700 m3? 39.3498 O 14,574 O 56.4166 O 16,593 Suppose that for this regression analysis, we modify the regression analysis such that the model only becomes =V. Determine the value of K, using this regression analysis. %3D O 5.77 x 10 O 4.82 x 10 O 9.64 x 10 O 2.88 x 10 Suppose that for this regression analysis, we modify the regression analysis such that the model only becomes = y. Using the new model, what is the R? value? || O 0.9982 O 0.9064 O 0.8464 O 0.9575
In performing a constant pressure filtration, the time of filtration, t (in seconds) is related to the
volume of the filtrate, V (in m), collected based on the following equation:
t = *v² + BV
in which, when linearized, the empirical model can be expressed as:
# = V +B
where Kp and B are parameters for the filtration model. The laboratory experiment performed is
summarized below. Note that the volume of the filtrate is a measured variable.
V
t/V
0.000498
8840
0.00100
9500
0.001501
10860
0.002000
12300
0.002498
13890
0.003002
15360
0.003506
16830
0.004004
18380
0.004502
19860
0.005009
21420
The parameters K, and Bare determined by linear regression using the above table.
Transcribed Image Text:In performing a constant pressure filtration, the time of filtration, t (in seconds) is related to the volume of the filtrate, V (in m), collected based on the following equation: t = *v² + BV in which, when linearized, the empirical model can be expressed as: # = V +B where Kp and B are parameters for the filtration model. The laboratory experiment performed is summarized below. Note that the volume of the filtrate is a measured variable. V t/V 0.000498 8840 0.00100 9500 0.001501 10860 0.002000 12300 0.002498 13890 0.003002 15360 0.003506 16830 0.004004 18380 0.004502 19860 0.005009 21420 The parameters K, and Bare determined by linear regression using the above table.
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