An insulated vertical cylindrical vessel sectional area A = 0.12 m² contains 20 mol of He gas at To = 300 K and Po= 0.5 bar. It is capped by a movable piston of mass m = 150 kg supported from the ceiling by a wire. The top of the vessel is open to the atmosphere (Patm= 1 bar, Tatm= 300 K). The wire is cut and the weight falls and com- presses the gas. (a) Obtain the pressure and temperature of the gas a short time after the wire has been cut, when a negligible amount of heat transfer r your Patm 1.H SLOWAKW He gas ams019

An insulated vertical cylindrical vessel sectional area A = 0.12 m² contains 20 mol of He gas at To = 300 K and Po= 0.5 bar. It is capped by a movable piston of mass m = 150 kg supported from the ceiling by a wire. The top of the vessel is open to the atmosphere (Patm= 1 bar, Tatm= 300 K). The wire is cut and the weight falls and com- presses the gas. (a) Obtain the pressure and temperature of the gas a short time after the wire has been cut, when a negligible amount of heat transfer r your Patm 1.H SLOWAKW He gas ams019

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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Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

An insulated vertical cylindrical vessel of cross-
sectional area A = 0.12 m² contains 20 mol of He
gas at To = 300 K and Po= 0.5 bar. It is capped by
a movable piston of mass m = 150 kg supported
from the ceiling by a wire. The top of the vessel is
open to the atmosphere (Patm= 1 bar, Tatm= 300K).
The wire is cut and the weight falls and com-
presses the gas.
Patm
160 E
Wir
og
SLOWA
He gas
1019
(a) Obtain the pressure and temperature of the
gas a short time after the wire has been cut,
when a negligible amount of heat transfer
has taken place. Comment on whether your
solution takes into account the inevitable oscillations of the piston
around its equilibrium position before it comes to rest.
mut
Ispl
(b) After a long time, the He gas thermally equilibrates with the environ-
ment by heat transfer through the piston. How much heat is exchanged
with the environment during this process?
Helium can be considered an ideal gas at all conditions of interest, with
C₁=3R/2.
INST

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