1. Please allow the Molar Internal Energy to be a function of T and v, ū = ū(T, v). u = u(T, V), and show that dT + dv. = np Recall that
1. Please allow the Molar Internal Energy to be a function of T and v, ū = ū(T, v). u = u(T, V), and show that dT + dv. = np Recall that
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
![1.
Please allow the Molar Internal Energy to be a function of T and v, ū = ū(T, v). u = u(T,V), and show
that
dū =
ƏT
dT +
dū.
Recall that
Combine the two previous equations to show that
dū = čydT +
dv.
Set a pin in this equation. We'll be back.
In the meanwhile, please write the First Fundamental Property Relation (i.e, the one that begins du =
...). Divide through by dv and require T to be constant. Use the Maxwell Relations to eliminate the
partial derivative that involves the entropy to show that
= T|-
- .
T
Combine the last two equations to show that
dū = c,dT +
%D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8f87a9a3-f7a3-4798-b239-393318d7a575%2Faeede689-7e05-46a3-b936-8d65255a534d%2F54n7ahn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1.
Please allow the Molar Internal Energy to be a function of T and v, ū = ū(T, v). u = u(T,V), and show
that
dū =
ƏT
dT +
dū.
Recall that
Combine the two previous equations to show that
dū = čydT +
dv.
Set a pin in this equation. We'll be back.
In the meanwhile, please write the First Fundamental Property Relation (i.e, the one that begins du =
...). Divide through by dv and require T to be constant. Use the Maxwell Relations to eliminate the
partial derivative that involves the entropy to show that
= T|-
- .
T
Combine the last two equations to show that
dū = c,dT +
%D
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