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Spreading rate of spilled liquid. A contract engineer at
Chapter , Problem 128E(choose chapter or problem)
Problem 128E
Spreading rate of spilled liquid. A contract engineer at DuPont Corp. studied the rate at which a spilled volatile liquid will spread across a surface (Chemical Engineering Progress, Jan. 2005). Assume 50 gallons of methanol spills onto a level surface outdoors. The engineer used derived empirical formulas (assuming a state of turbulent-free convection) to calculate the mass (in pounds) of the spill after a period of time ranging from 0 to 60 minutes. The calculated mass values are given in the table. Is there evidence to indicate that the mass of the spill tends to diminish as time increases? Support your answer with a scatterplot.
Time (minutes) |
Mass (pounds) |
0 |
6.64 |
1 |
6.34 |
2 |
6.04 |
4 |
5.47 |
6 |
4.94 |
8 |
4.44 |
10 |
3.98 |
12 |
3.55 |
14 |
3.15 |
16 |
2.79 |
18 |
2.45 |
20 |
2.14 |
22 |
1.86 |
24 |
1.60 |
26 |
1.37 |
28 |
1.17 |
30 |
0.98 |
35 |
0.60 |
40 |
0.34 |
45 |
0.17 |
50 |
0.06 |
55 |
0.02 |
60 |
0.00 |
Source: Based on Barry. J. “Estimating rates of spreading and evaporation of volatile liquids.” Chemical Engineering Progress,. Vol. 101, No. 1. Jan. 2005, p. 38.
Questions & Answers
QUESTION:
Problem 128E
Spreading rate of spilled liquid. A contract engineer at DuPont Corp. studied the rate at which a spilled volatile liquid will spread across a surface (Chemical Engineering Progress, Jan. 2005). Assume 50 gallons of methanol spills onto a level surface outdoors. The engineer used derived empirical formulas (assuming a state of turbulent-free convection) to calculate the mass (in pounds) of the spill after a period of time ranging from 0 to 60 minutes. The calculated mass values are given in the table. Is there evidence to indicate that the mass of the spill tends to diminish as time increases? Support your answer with a scatterplot.
Time (minutes) |
Mass (pounds) |
0 |
6.64 |
1 |
6.34 |
2 |
6.04 |
4 |
5.47 |
6 |
4.94 |
8 |
4.44 |
10 |
3.98 |
12 |
3.55 |
14 |
3.15 |
16 |
2.79 |
18 |
2.45 |
20 |
2.14 |
22 |
1.86 |
24 |
1.60 |
26 |
1.37 |
28 |
1.17 |
30 |
0.98 |
35 |
0.60 |
40 |
0.34 |
45 |
0.17 |
50 |
0.06 |
55 |
0.02 |
60 |
0.00 |
Source: Based on Barry. J. “Estimating rates of spreading and evaporation of volatile liquids.” Chemical Engineering Progress,. Vol. 101, No. 1. Jan. 2005, p. 38.
ANSWER: