A frictionless piston/cylinder assembly A shown in the figure is connected by a thin pipeline with a valve to a rigid tank B. The volume of tank B is 1.0 m², and the cross-sectional area of the piston is Aa = 1.2 m?. Initially (state 1) the valve is closed, 3 kg of argon is enclosed in the piston/cylinder assembly, mĄ1 = 3 kg, and there is no argon in the tank, mg,1 = 0. The initial temperature of the argon is TA1 = 50°C and the initial volume of the gas enclosed by the piston cylinder is Va1 = 1.5 m?. The valve is slowly opened allowing argon to flow into the tank. The valve is then closed when the piston just touches the stops but does not exert a force on the stops (state 2). At state 2, the temperature and pressure throughout the tank and piston/cylinder system are equal (Pa2 = P8,2 and TA2= T8,2). The height from the bottom of the cylinder A to the top of the stops is htops = 0.5 m. The volume of the stops can be assumed negligible. Treat argon as an ideal gas. a) Determine the pressure in the piston/cylinder assembly at the initial state, Pa1. b) Determine the pressure in the piston/cylinder assembly at state 2, PA,2. c) Determine the temperature in the piston/cylinder assembly at state 2, TĄ2 Piston Stops Argon Tank B V = 1.0 m³ A Valve
A frictionless piston/cylinder assembly A shown in the figure is connected by a thin pipeline with a valve to a rigid tank B. The volume of tank B is 1.0 m², and the cross-sectional area of the piston is Aa = 1.2 m?. Initially (state 1) the valve is closed, 3 kg of argon is enclosed in the piston/cylinder assembly, mĄ1 = 3 kg, and there is no argon in the tank, mg,1 = 0. The initial temperature of the argon is TA1 = 50°C and the initial volume of the gas enclosed by the piston cylinder is Va1 = 1.5 m?. The valve is slowly opened allowing argon to flow into the tank. The valve is then closed when the piston just touches the stops but does not exert a force on the stops (state 2). At state 2, the temperature and pressure throughout the tank and piston/cylinder system are equal (Pa2 = P8,2 and TA2= T8,2). The height from the bottom of the cylinder A to the top of the stops is htops = 0.5 m. The volume of the stops can be assumed negligible. Treat argon as an ideal gas. a) Determine the pressure in the piston/cylinder assembly at the initial state, Pa1. b) Determine the pressure in the piston/cylinder assembly at state 2, PA,2. c) Determine the temperature in the piston/cylinder assembly at state 2, TĄ2 Piston Stops Argon Tank B V = 1.0 m³ A Valve
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:A frictionless piston/cylinder assembly A shown in the figure is connected by a thin pipeline with a valve
to a rigid tank B. The volume of tank B is 1.0 m³, and the cross-sectional area of the piston is Aa = 1.2 m?.
Initially (state 1) the valve is closed, 3 kg of argon is enclosed in the piston/cylinder assembly, mĄ1 = 3 kg,
and there is no argon in the tank, mg,1=0. The initial temperature of the argon is TĄ1 = 50°C and the initial
volume of the gas enclosed by the piston cylinder is VA1 = 1.5 m?.
The valve is slowly opened allowing argon to flow into the tank. The valve is then closed when the piston
just touches the stops but does not exert a force on the stops (state 2). At state 2, the temperature and
pressure throughout the tank and piston/cylinder system are equal (Pa2 = P8,2 and Ta2= T82). The height
from the bottom of the cylinder A to the top of the stops is htops = 0.5 m. The volume of the stops can be
assumed negligible. Treat argon as an ideal gas.
a) Determine the pressure in the piston/cylinder assembly at the initial state, Pa1.
b) Determine the pressure in the piston/cylinder assembly at state 2, PA2.
c) Determine the temperature in the piston/cylinder assembly at state 2, TĄ2-
Piston
Stops
Argon
Tank B
V = 1.0 m3
A
Valve
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