Argon is contained in the tank and piston/cylinder assembly shown in the figure. The piston has a mass of m, = 500 kg, a diameter of D = 30 cm and is initially at a height y1 = 50 cm measured from the bottom of the cylinder to the bottom of the piston. The tank with a volume of V; = 0.05 m contains m; = 0.1 kg of argon and is connected to the cylinder with a thin pipeline and a closed valve. The temperature of argon in the cylinder is Te = 400 K and in the tank is T; = 300 K. The valve is then opened and argon in the tank and cylinder comes to equilibrium with a final temperature of T2 = 325 K. Treat argon as an ideal gas and neglect the volume of argon in the pipe connecting the tank and cylinder. The atmospheric pressure is Po = 100 kPa and gravitational acceleration is g = 9.81 m/s. a) Determine the pressure of argon in the tank at the initial state, P. b) Determine the pressure and mass of argon in the cylinder at the initial state, Pe and m. c) Determine the height of the piston at the final state, y2. P. Piston Tank Cylinder Valve
Argon is contained in the tank and piston/cylinder assembly shown in the figure. The piston has a mass of m, = 500 kg, a diameter of D = 30 cm and is initially at a height y1 = 50 cm measured from the bottom of the cylinder to the bottom of the piston. The tank with a volume of V; = 0.05 m contains m; = 0.1 kg of argon and is connected to the cylinder with a thin pipeline and a closed valve. The temperature of argon in the cylinder is Te = 400 K and in the tank is T; = 300 K. The valve is then opened and argon in the tank and cylinder comes to equilibrium with a final temperature of T2 = 325 K. Treat argon as an ideal gas and neglect the volume of argon in the pipe connecting the tank and cylinder. The atmospheric pressure is Po = 100 kPa and gravitational acceleration is g = 9.81 m/s. a) Determine the pressure of argon in the tank at the initial state, P. b) Determine the pressure and mass of argon in the cylinder at the initial state, Pe and m. c) Determine the height of the piston at the final state, y2. P. Piston Tank Cylinder Valve
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:Argon is contained in the tank and piston/cylinder assembly shown in the figure. The piston has a mass
of m, = 500 kg, a diameter of D = 30 cm and is initially at a height y1 = 50 cm measured from the bottom
of the cylinder to the bottom of the piston. The tank with a volume of V; = 0.05 m contains m, = 0.1 kg
of argon and is connected to the cylinder with a thin pipeline and a closed valve. The temperature of
argon in the cylinder is T. = 400 K and in the tank is T; = 300 K. The valve is then opened and argon in the
tank and cylinder comes to equilibrium with a final temperature of T2 = 325 K. Treat argon as an ideal gas
and neglect the volume of argon in the pipe connecting the tank and cylinder. The atmospheric pressure
is Po = 100 kPa and gravitational acceleration is g = 9.81 m/s.
a) Determine the pressure of argon in the tank at the initial state, Pr.
b) Determine the pressure and mass of argon in the cylinder at the initial state, P. and m.
c) Determine the height of the piston at the final state, y2-
P.
Piston
Tank
Cylinder
y
Valve
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