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In this task, various ideal gases are considered. If no other information is given, the specific gas constant R = 252.6 J/(kg K). Unless otherwise stated, all changes of state ebe regarded as quasi-static and take place in a closed system. All parts of the task dbe solved independently of each other. Indices indicate the initial state (index 1) and the final state (index 2). The general gas constant Rm = 8.314462 J/(mol K) applies to the entire task. Hint: - Round the results to three decimal places (e.g. 58.189 or 0.015). a) An ideal gas with p = 1907.6 mbar and T = 270.1 K is in a container with a volume of V = 720 cm3 . What quantity of substance (in mol) is in the container? b) What is the pressure p2 (in kPa) after an isothermal change of state (T = 310.2 K), in which a specific volume of vi = 0.12 m3/kg is initially present and |912 | = 101 kJ/kg specific heat is dissipated? c) Three ideal gases were mixed in a dosed container. The mixture has a pressure of p = 1.5 bar, the mole fraction of component 1 isi = 0.1 and the partial pressure of component 3 is ps = 0.825 bar. What vaabe the pressure (in bar) that would prevail if component 2 occupied the entire container alone (components 1 and 3 wereremoved from the container)?

In this task, various ideal gases are considered. If no other information is given, the specific gas constant R = 252.6 J/(kg K). Unless otherwise stated, all changes of state ebe regarded as quasi-static and take place in a closed system. All parts of the task dbe solved independently of each other. Indices indicate the initial state (index 1) and the final state (index 2). The general gas constant Rm = 8.314462 J/(mol K) applies to the entire task. Hint: - Round the results to three decimal places (e.g. 58.189 or 0.015). a) An ideal gas with p = 1907.6 mbar and T = 270.1 K is in a container with a volume of V = 720 cm3 . What quantity of substance (in mol) is in the container? b) What is the pressure p2 (in kPa) after an isothermal change of state (T = 310.2 K), in which a specific volume of vi = 0.12 m3/kg is initially present and |912 | = 101 kJ/kg specific heat is dissipated? c) Three ideal gases were mixed in a dosed container. The mixture has a pressure of p = 1.5 bar, the mole fraction of component 1 isi = 0.1 and the partial pressure of component 3 is ps = 0.825 bar. What vaabe the pressure (in bar) that would prevail if component 2 occupied the entire container alone (components 1 and 3 wereremoved from the container)?

Introduction to Chemical Engineering Thermodynamics
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
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In this task, various ideal gases are considered. If no other information is given, the specific gas constant R = 252.6 J/(kg K). Unless otherwise stated, all changes of state be regarded as quasi-static and take place in a closed system. All parts of the task ebe solved independently of each other. Indices indicate the initial state (index 1) and the final state (index 2). The general gas constant Rm = 8.314462 J/(mol K) applies to the entire task. Hint: - Round the results to three decimal places (e.g. 58.189 or 0.015). a) An ideal gas with p = 1907.6 mbar and T = 270.1 K is in a container with a volume of V = 720 cm3 . What quantity of substance (in mol) is in the container? b) What is the pressure p2 (in kPa) after an isothermal change of state (T = 310.2 K), in which a specific volume of vi = 0.12 m3/kg is initially present and |912 | = 101 kJ/kg specific heat is dissipated? c) Three ideal gases were mixed in a closed container. The mixture has a pressure of p = 1.5 bar, the mole fraction of component 1 isı = 0.1 and the partial pressure of component 3 is p3 = 0.825 bar. What vabe the pressure (in bar) that would prevail if component 2 occupied the entire container alone (components 1 and 3 wereremoved from the container)? d) An ideal gas (T; = 540 K, vi = 2.1 m3/kg, = 1.5) isadiabatically and reversibly compressed to a pressure of p = 400 kPa. What is then the specific volume (in m3/kg)? e) A dgnedium is to be selected for the design of a heat exchanger with adiabatic external walls. Since the installation space is limited, the mass flow of the cold gas is only one tenth of the warm mass flow. Nevertheless, the warm cooled by 101 K, while the cold mass flow is heated by 45 K. The mass flow of the cold gas is to be cooled by 45 K. What must be the mass flow is to ratio of the isobaric katapacities Cp,kalt /Cp,warm ? f) Two stationary flow processes are coupled and 91% of the technical work output of a reversible isochoric pressure reduction from pi = 4.1 MPa to p = 3.5 MPa at vi = 0.1 m3/kg is added to an isen- tropic compression (3 ! 4). What is the pressure ratio p4 /p ?3 achieved during isentropic compression (t3 = 21142 ac, = 1.28)?
Transcribed Image Text:In this task, various ideal gases are considered. If no other information is given, the specific gas constant R = 252.6 J/(kg K). Unless otherwise stated, all changes of state be regarded as quasi-static and take place in a closed system. All parts of the task ebe solved independently of each other. Indices indicate the initial state (index 1) and the final state (index 2). The general gas constant Rm = 8.314462 J/(mol K) applies to the entire task. Hint: - Round the results to three decimal places (e.g. 58.189 or 0.015). a) An ideal gas with p = 1907.6 mbar and T = 270.1 K is in a container with a volume of V = 720 cm3 . What quantity of substance (in mol) is in the container? b) What is the pressure p2 (in kPa) after an isothermal change of state (T = 310.2 K), in which a specific volume of vi = 0.12 m3/kg is initially present and |912 | = 101 kJ/kg specific heat is dissipated? c) Three ideal gases were mixed in a closed container. The mixture has a pressure of p = 1.5 bar, the mole fraction of component 1 isı = 0.1 and the partial pressure of component 3 is p3 = 0.825 bar. What vabe the pressure (in bar) that would prevail if component 2 occupied the entire container alone (components 1 and 3 wereremoved from the container)? d) An ideal gas (T; = 540 K, vi = 2.1 m3/kg, = 1.5) isadiabatically and reversibly compressed to a pressure of p = 400 kPa. What is then the specific volume (in m3/kg)? e) A dgnedium is to be selected for the design of a heat exchanger with adiabatic external walls. Since the installation space is limited, the mass flow of the cold gas is only one tenth of the warm mass flow. Nevertheless, the warm cooled by 101 K, while the cold mass flow is heated by 45 K. The mass flow of the cold gas is to be cooled by 45 K. What must be the mass flow is to ratio of the isobaric katapacities Cp,kalt /Cp,warm ? f) Two stationary flow processes are coupled and 91% of the technical work output of a reversible isochoric pressure reduction from pi = 4.1 MPa to p = 3.5 MPa at vi = 0.1 m3/kg is added to an isen- tropic compression (3 ! 4). What is the pressure ratio p4 /p ?3 achieved during isentropic compression (t3 = 21142 ac, = 1.28)?
g) Starting from vi = 21 cm3/mol and T = 470o K, the molar volume of an ideal gas is reduced isobarically by 12%. What is the temperature T2 (in K)? h) Volumetric work is added to and heat is removed from a closed system. This reduces the temperature by 47 K. In a stationary, open system, technical work is added and the same amount of lsemoved as in the closed system. The temperature change is also identical. What is the difference in amountbetween the volume change and the technical work (in J/kg)? i) A stationary adiabatic flow process emits wi,12 = 172 kJ/kg and has a dissipation of w,12,diss = 23 kJ/kg. What is the isentropic exponent of the working medium that is cooled from T1 = 417 K to T2 = 318 K?
Transcribed Image Text:g) Starting from vi = 21 cm3/mol and T = 470o K, the molar volume of an ideal gas is reduced isobarically by 12%. What is the temperature T2 (in K)? h) Volumetric work is added to and heat is removed from a closed system. This reduces the temperature by 47 K. In a stationary, open system, technical work is added and the same amount of lsemoved as in the closed system. The temperature change is also identical. What is the difference in amountbetween the volume change and the technical work (in J/kg)? i) A stationary adiabatic flow process emits wi,12 = 172 kJ/kg and has a dissipation of w,12,diss = 23 kJ/kg. What is the isentropic exponent of the working medium that is cooled from T1 = 417 K to T2 = 318 K?
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