(a) Write equations for the thermodynamic potentials dU, dH, dA and dG as a function of natural variables. Note: U - internal energy, H – enthalpy, A – Helmholtz free energy, G - Gibbs free energy. (b) Using the equations in part (a), derive the Maxwell relations. (c) 75 moles of propane are contained in a volume of 0.05 m³ at 450 K. Calculate the value f(37) for propane (J m²³) when propane is an: T (i) an ideal gas (ii) a van der Waal's (vdW) gas Information: nRT n² a For vdW gas: P = V-nb V² where a = 0.935 J m³ mol-² & b = 9.05 x 10-5 m³ mol-¹
(a) Write equations for the thermodynamic potentials dU, dH, dA and dG as a function of natural variables. Note: U - internal energy, H – enthalpy, A – Helmholtz free energy, G - Gibbs free energy. (b) Using the equations in part (a), derive the Maxwell relations. (c) 75 moles of propane are contained in a volume of 0.05 m³ at 450 K. Calculate the value f(37) for propane (J m²³) when propane is an: T (i) an ideal gas (ii) a van der Waal's (vdW) gas Information: nRT n² a For vdW gas: P = V-nb V² where a = 0.935 J m³ mol-² & b = 9.05 x 10-5 m³ mol-¹
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
Related questions
Question
need assistance with this attached question please
Transcribed Image Text:(a) Write equations for the thermodynamic potentials dU, dH, dA and dG as a function of
natural variables.
Note: U – internal energy, H – enthalpy, A – Helmholtz free energy, G – Gibbs free
energy.
(b) Using the equations in part (a), derive the Maxwell relations.
(c) 75 moles of propane are contained in a volume of 0.05 m³ at 450 K. Calculate the value
of
for propane (J m³) when propane is an:
T
(i)
an ideal gas
(ii)
a van der Waal's (vdW) gas
Information:
nRT
n² a
For vdW
gas:
V-nb
V²
where a = 0.935 J m³ mol-² & b = 9.05 x 10-5 m³ mol-¹
P =
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 8 images
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The