a) Air is contained in a vertical piston-cylinder assembly fitted with an electrical resistor. The atmosphere exerts a pressure of 1 bar on the top of the piston, which has a mass of 45 kg and a face area of 0.09 m?. Electric current passes through the resistor, and the volume of the air slowly increases by 0.0453 m while its pressure remains constant. The mass of the air is 0.27 kg, and its specific internal energy increases by 18.9 kl/kg. The air and piston are at rest initially and finally. The piston-cylinder material is a ceramic composite and thus a good insulator. Friction between the piston and cylinder wall can be ignored, and the local acceleration of gravity is g = 9.81 m/s?. Determine the heat transfer from the resistor to the air, in kl, for a system consisting of: i. the air alone (Figure 4-a), and ii. the air and the piston (Figure 4-b). Piston System heundary for part (a) Agee Air V - V, fa) -Piston System heundary for part (b) Air Figure 4
a) Air is contained in a vertical piston-cylinder assembly fitted with an electrical resistor. The atmosphere exerts a pressure of 1 bar on the top of the piston, which has a mass of 45 kg and a face area of 0.09 m?. Electric current passes through the resistor, and the volume of the air slowly increases by 0.0453 m while its pressure remains constant. The mass of the air is 0.27 kg, and its specific internal energy increases by 18.9 kl/kg. The air and piston are at rest initially and finally. The piston-cylinder material is a ceramic composite and thus a good insulator. Friction between the piston and cylinder wall can be ignored, and the local acceleration of gravity is g = 9.81 m/s?. Determine the heat transfer from the resistor to the air, in kl, for a system consisting of: i. the air alone (Figure 4-a), and ii. the air and the piston (Figure 4-b). Piston System heundary for part (a) Agee Air V - V, fa) -Piston System heundary for part (b) Air Figure 4
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:QUESTION 3
a) Air is contained in a vertical piston-cylinder assembly fitted with an electrical
resistor. The atmosphere exerts a pressure of 1 bar on the top of the piston,
which has a mass of 45 kg and a face area of 0.09 m?. Electric current passes
through the resistor, and the volume of the air slowly increases by 0.0453 m
while its pressure remains constant. The mass of the air is 0.27 kg, and its specific
internal energy increases by 18.9 kl/kg. The air and piston are at rest initially and
finally. The piston-cylinder material is a ceramic composite and thus a good
insulator. Friction between the piston and cylinder wall can be ignored, and the
local acceleration of gravity is g = 9.81 m/s. Determine the heat transfer from
the resistor to the air, in kl, for a system consisting of:
i. the air alone (Figure 4-a), and
ii. the air and the piston (Figure 4-b).
Piston
System
boundary
for part (a)
Apian
Air
V - V
(a)
- Piston
System
houndary
for part (b)
Air
(b)
Figure 4
b) An unknown gas is heated inside a balloon. Initially, the gas
occupies a volume of 0.21 m?, and its pressure is 320 kPa. The gas
is heated until the volume expands to 0.34 m. During the
expansion process, the pressure and volume are related through
PV12= constant. Find the moving boundary work done in the
process.
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