An insulated tank is fitted with a freely-floating piston made of a non-conducting material as shown in Figure. The pressure in the two chambers must always be the same at any specific time (PA= PB). The chambers are insulated from each other as well as from the environment. To the left of the piston (chamber A) is 1.5 kg of steam, initially at 4 bar and 90% quality. To the right of the piston (chamber B) is air, initially at 25° C and 4 bar. The total volume of the steam and air is 1.25 m³. Additional air from a pipeline is forced into the right side of the cylinder which forces the piston to move to the left, increasing the steam pressure. The air in the pipeline is at 20 bar. The valve is closed, and the air flow is stopped when no more liquid remains in the left chamber. When the valve is closed, PA= PB = 15 bar and the temperature in the right chamber is 115°C. Model the air as an ideal gas with constant specific heat capacities, R = 287 J/kg-K, cv = 718 J/kg-K, and CP=1005 J/kg-K. a) What is the temperature of the gas in the pipeline? b) What is the entropy produced in chamber B during this process?

Elements Of Electromagnetics
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Pipeline with gas at 20 bar
Chamber A
1.5 kg
valve
Chamber B
Total volume = 1.25 m³
An insulated tank is fitted with a freely-floating piston made of a non-conducting material as
shown in Figure. The pressure in the two chambers must always be the same at any specific time
(PA=PB). The chambers are insulated from each other as well as from the environment. To the left
of the piston (chamber A) is 1.5 kg of steam, initially at 4 bar and 90% quality. To the right of the
piston (chamber B) is air, initially at 25° C and 4 bar. The total volume of the steam and air is 1.25
m³. Additional air from a pipeline is forced into the right side of the cylinder which forces the
piston to move to the left, increasing the steam pressure. The air in the pipeline is at 20 bar. The
valve is closed, and the air flow is stopped when no more liquid remains in the left chamber. When
the valve is closed, PA = PB = 15 bar and the temperature in the right chamber is 115°C. Model the
air as an ideal gas with constant specific heat capacities, R = 287 J/kg-K, cv = 718 J/kg-K, and
CP=1005 J/kg-K.
a) What is the temperature of the gas in the pipeline?
b) What is the entropy produced in chamber B during this process?
Transcribed Image Text:Pipeline with gas at 20 bar Chamber A 1.5 kg valve Chamber B Total volume = 1.25 m³ An insulated tank is fitted with a freely-floating piston made of a non-conducting material as shown in Figure. The pressure in the two chambers must always be the same at any specific time (PA=PB). The chambers are insulated from each other as well as from the environment. To the left of the piston (chamber A) is 1.5 kg of steam, initially at 4 bar and 90% quality. To the right of the piston (chamber B) is air, initially at 25° C and 4 bar. The total volume of the steam and air is 1.25 m³. Additional air from a pipeline is forced into the right side of the cylinder which forces the piston to move to the left, increasing the steam pressure. The air in the pipeline is at 20 bar. The valve is closed, and the air flow is stopped when no more liquid remains in the left chamber. When the valve is closed, PA = PB = 15 bar and the temperature in the right chamber is 115°C. Model the air as an ideal gas with constant specific heat capacities, R = 287 J/kg-K, cv = 718 J/kg-K, and CP=1005 J/kg-K. a) What is the temperature of the gas in the pipeline? b) What is the entropy produced in chamber B during this process?
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