The rigid steel tank shown in the figure contains carbon dioxide gas. Initially the tank contains 300 kg of gas. The tank has an internal volume of 100 m³, one inlet, and one outlet as shown in the figure. The following information is known about the mass flow rate at the inlet: ((10.0 kg/min³)t² if 0 ≤t≤3 min 90 kg/min if t > 3 min The outlet mass flow rate is a constant m₂ = 90 kg/min for t≥ 0 a) Calculate and graph (i.e., using Excel, Matlab, etc.) the mass of gas and the time rate of change of the mass of the gas in the tank at one minute intervals for 0 < t < 20 min. Use an open system that corresponds with the interior volume of the tank. When, if ever, is the m₁ = system at steady-state conditions? (Be sure to include your graph in your submission for this part of the problem.) 2 b) Is the density of the gas in the tank increasing or decreasing? What is the net change in the density of the gas in the tank for this 20-minute interval? c) How would your answer to part (a) change if you used an open system that included the walls of the tank inside your system? A qualitative discussion is acceptable. Partial Answers: a) 110 kg ≤ ms.s. ≤ 130 kg; b)-1.5 kg/m³ ≥ Ap ≥ −2 kg/m³

Elements Of Electromagnetics
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Problem 3.3
The rigid steel tank shown in the figure contains carbon dioxide gas. Initially the tank contains
300 kg of gas. The tank has an internal volume of 100 m³, one inlet, and one outlet as shown in
the figure. The following information is known about the mass flow rate at the inlet:
((10.0 kg/min³)t² if 0 ≤ t ≤ 3 min
90 kg/min if t > 3 min
The outlet mass flow rate is a constant m₂ = 90 kg/min for t ≥ 0
a)
Calculate and graph (i.e., using Excel, Matlab,
etc.) the mass of gas and the time rate of
change of the mass of the gas in the tank at
one minute intervals for 0 ≤ t ≤ 20 min. Use an
open system that corresponds with the interior
volume of the tank. When, if ever, is the
m₁ =
system at steady-state conditions? (Be sure to
include your graph in your submission for this part of the problem.)
at
b) Is the density of the gas in the tank increasing or decreasing? What is the net change in
the density of the gas in the tank for this 20-minute interval?
c) How would your answer to part (a) change if you used an open system that included the
walls of the tank inside your system? A qualitative discussion is acceptable.
Partial Answers: a) 110 kg ≤ ms.s. ≤ 130 kg; b)-1.5 kg/m³ ≥ Ap ≥ −2 kg/m³
Transcribed Image Text:Problem 3.3 The rigid steel tank shown in the figure contains carbon dioxide gas. Initially the tank contains 300 kg of gas. The tank has an internal volume of 100 m³, one inlet, and one outlet as shown in the figure. The following information is known about the mass flow rate at the inlet: ((10.0 kg/min³)t² if 0 ≤ t ≤ 3 min 90 kg/min if t > 3 min The outlet mass flow rate is a constant m₂ = 90 kg/min for t ≥ 0 a) Calculate and graph (i.e., using Excel, Matlab, etc.) the mass of gas and the time rate of change of the mass of the gas in the tank at one minute intervals for 0 ≤ t ≤ 20 min. Use an open system that corresponds with the interior volume of the tank. When, if ever, is the m₁ = system at steady-state conditions? (Be sure to include your graph in your submission for this part of the problem.) at b) Is the density of the gas in the tank increasing or decreasing? What is the net change in the density of the gas in the tank for this 20-minute interval? c) How would your answer to part (a) change if you used an open system that included the walls of the tank inside your system? A qualitative discussion is acceptable. Partial Answers: a) 110 kg ≤ ms.s. ≤ 130 kg; b)-1.5 kg/m³ ≥ Ap ≥ −2 kg/m³
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