1. Prove the following equations for a simple compressible system: (a) - T (b) ap where a and K are the coefficients of thermal expansion and the isothermal compressibility respectively. 2. Prove the following equations for a simple compressible system: (e) du = c, dT + ( -P) du (b) đh= c, dT + (v – aTv) dp KCU (c) ds = dp + du aTv (d) da= -(apv + s) dT + kpv dp aT 3. Find the coefficient of thermal expansion a and the isothermal com pressibility K from each of the following p-v-T relations: RT (a) Ideal gas equation, p = RT (b) Dieterici equation, p = a/RTv RT 2b (c) Saha-Bose equation, p=- e a/RTV 2b In
1. Prove the following equations for a simple compressible system: (a) - T (b) ap where a and K are the coefficients of thermal expansion and the isothermal compressibility respectively. 2. Prove the following equations for a simple compressible system: (e) du = c, dT + ( -P) du (b) đh= c, dT + (v – aTv) dp KCU (c) ds = dp + du aTv (d) da= -(apv + s) dT + kpv dp aT 3. Find the coefficient of thermal expansion a and the isothermal com pressibility K from each of the following p-v-T relations: RT (a) Ideal gas equation, p = RT (b) Dieterici equation, p = a/RTv RT 2b (c) Saha-Bose equation, p=- e a/RTV 2b In
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
Problem 1.1P
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Transcribed Image Text:1. Prove the following equations for a simple compressible system:
(a)
auT
(b)
ap
aT
where a and K are the coefficients of thermal expansion and the
isothermal compressibility respectively.
2. Prove the following equations for a simple compressible system:
(a) du = c, dT +
( -p) du
(b) đh= cp dT + (v - aTv) dp
K
KCU
(c) ds =
aT
dp + du
(d) da = -(apv + s) dT + kpv dp
aTv
3. Find the coefficient of thermal expansion a and the isothermal
com pressibility k from each of the following p-v-T relations:
RT
(a) Ideal gas equation, p =
RT
(b) Dieterici equation, p =
e a/RTv
RT, a/RTV
In
(c) Saha-Bose equation, p= -
2b
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