As shown in the sketch below, a supply line filled with air modeled as an ideal gas with R= 287 J/kg K and c, = 716J/kg

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As Shown In The Sketch Below A Supply Line Filled With Air Modeled As An Ideal Gas With R 287 J Kg K And C 716j Kg 1 (298.59 KiB) Viewed 37 times

As shown in the sketch below, a supply line filled with air modeled as an ideal gas with R= 287 J/kg K and c, = 716J/kg K is connected to a rigid adiabatic vessel of volume Vi=10 m via a valve. The state of the air in the supply line is always constant at P, = 10 N/m' and Ts = 300 K. (a) The valve is opened, and air is allowed to fill the tank from the supply line. When the contents of the vessel reach mechanical equilibrium with the air in the supply line, the valve is closed. Determine the uniform temperature of the contents of the vessel when equilibrium is established (b) Determine the entropy generated during the filling process of part (a) above. (c) After equilibrium has been established in the contents of the vessel, the contents of the vessel are connected to a reversible heat engine that uses the atmosphere as the low temperature energy sink and the contents of vessel as the high temperature energy source. Clearly, after the initial work transfer process of the heat engine, the contents of the vessel are not in thermal and mechanical equilibrium with the supply line. Determine the work transfer from the reversible heat engine when the contents of the vessel have finally reached mechanical and thermal equilibrium with the supply line. What physical process is the origin of the energy associated with this work transfer? Supply line Supply line Valve Valve Vessel Vessel QH Parts (a) and (b) Reversible heat engine w Atmosphere T. Part (c)