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A gas at 300 K and 1 bar (state 1) flows through an adiabatic compressor and exits at 20 bar and 700 K (state 2). The gas obeys the following equation of state, where a and B are constants. The values are given as a = the gas at 1 bar is Cp = 30 a. v-B = + m³ K bar mol RT aP P T and B = 8 x 10-5 m³. The heat capacity of mol 10-3. mol K Show that the change in enthalpy of the gas is given by: a T₂ Ah = h₂ − h₂ = Cp (T₂ − T₂) + B (P₂ − P₁) + 7/7 (P² − P²) where states 1 and 2 refer to the inlet and exit streams, respectively. Sketch the computational path on a figure. Use T and P as independent variables.

A gas at 300 K and 1 bar (state 1) flows through an adiabatic compressor and exits at 20 bar and 700 K (state 2). The gas obeys the following equation of state, where a and B are constants. The values are given as a = the gas at 1 bar is Cp = 30 a. v-B = + m³ K bar mol RT aP P T and B = 8 x 10-5 m³. The heat capacity of mol 10-3. mol K Show that the change in enthalpy of the gas is given by: a T₂ Ah = h₂ − h₂ = Cp (T₂ − T₂) + B (P₂ − P₁) + 7/7 (P² − P²) where states 1 and 2 refer to the inlet and exit streams, respectively. Sketch the computational path on a figure. Use T and P as independent variables.

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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2. A gas at 300 K and 1 bar (state 1) flows through an adiabatic compressor and exits at 20 bar and 700 K (state 2). The gas obeys the following equation of state, where a and B are constants. v-B = m³ K bar mol The values are given as a = 10-³ the gas at 1 bar is Cp = 30- a. RT aP P T and B = 8 × 10-5 m³. The heat capacity of mol + mol K Show that the change in enthalpy of the gas is given by: Ah=h₂ h₁ = Cp (T2 - T₁) + B(P₂ - P₁) + (P² - P²) a T2 where states 1 and 2 refer to the inlet and exit streams, respectively. Sketch the computational path on a figure. Use T and P as independent variables.
Transcribed Image Text:2. A gas at 300 K and 1 bar (state 1) flows through an adiabatic compressor and exits at 20 bar and 700 K (state 2). The gas obeys the following equation of state, where a and B are constants. v-B = m³ K bar mol The values are given as a = 10-³ the gas at 1 bar is Cp = 30- a. RT aP P T and B = 8 × 10-5 m³. The heat capacity of mol + mol K Show that the change in enthalpy of the gas is given by: Ah=h₂ h₁ = Cp (T2 - T₁) + B(P₂ - P₁) + (P² - P²) a T2 where states 1 and 2 refer to the inlet and exit streams, respectively. Sketch the computational path on a figure. Use T and P as independent variables.
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