1. Show that for ideal gases Cp – Cv = R

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
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Worksheet #2:
1. Show that for ideal gases Cp – Cv = R
2. The PVT behavior of a gas is described by the equation of state:
P(V -b) = RT ; where b is a constant. If Cy is also constant, show that:
a) U is a function of T only.
b) y=(Cp/Cv) is constant
c) For a mechanically reversible adiabatic process, P(V-b)' = constant.
3. 5 kmol of Propane gas initially at 373.15 K (100 °C) and 1 bar is compressed to final state of
423.15 K (150 °C) and 10 bar. Estimate:
a. Z, H", UK, sK, GK at the initial state and final state using virial equation sate
truncated into two terms and generalized correlation to determined B.
b. AH'S and AS"
sig
c. AH, AS, AU, and AG for the prescribed change of state.
Transcribed Image Text:Worksheet #2: 1. Show that for ideal gases Cp – Cv = R 2. The PVT behavior of a gas is described by the equation of state: P(V -b) = RT ; where b is a constant. If Cy is also constant, show that: a) U is a function of T only. b) y=(Cp/Cv) is constant c) For a mechanically reversible adiabatic process, P(V-b)' = constant. 3. 5 kmol of Propane gas initially at 373.15 K (100 °C) and 1 bar is compressed to final state of 423.15 K (150 °C) and 10 bar. Estimate: a. Z, H", UK, sK, GK at the initial state and final state using virial equation sate truncated into two terms and generalized correlation to determined B. b. AH'S and AS" sig c. AH, AS, AU, and AG for the prescribed change of state.
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