Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
Derive the seven general property equation of the following thermodynamics processes: a. ISOMETRICPROCESS

Derive the seven general property equation of the following thermodynamics processes: a. ISOMETRICPROCESS

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
See similar textbooks
icon
Related questions
Question
100%
Derive the seven general property equation of the following thermodynamics processes: a. ISOMETRICPROCESS
2. Isometric Process Isometric process (also termed as Isovolumic Isochoric process) is the process applied to ideal gas by which the volume is held constant and from this process, the 7-general equations can be related to the process as follow: v Any Process relation: P P2 T P1 _ T1 P2 T2 v Work Non-flow: As in process relation, by holding the volume constant under this process, we can have V = C and that so, dV = 0. Thus, W, = 0 v Internal Energy: Following the change in temperature, we have an internal energy of: AU = mC„(T2 – T;) • Heat Transferred: Following the relation of heat transfer, we have: Q = AU + Wn Q = mC,(T, – T,) + 0 = mC,(T; – T,) And heat transferred under constant volume will be: Q = mC,(T2 – T1) v Enthalpy: Following the change in temperature, we have an enthalpy of: AH = mC,(T2 – T1)
Transcribed Image Text:2. Isometric Process Isometric process (also termed as Isovolumic Isochoric process) is the process applied to ideal gas by which the volume is held constant and from this process, the 7-general equations can be related to the process as follow: v Any Process relation: P P2 T P1 _ T1 P2 T2 v Work Non-flow: As in process relation, by holding the volume constant under this process, we can have V = C and that so, dV = 0. Thus, W, = 0 v Internal Energy: Following the change in temperature, we have an internal energy of: AU = mC„(T2 – T;) • Heat Transferred: Following the relation of heat transfer, we have: Q = AU + Wn Q = mC,(T, – T,) + 0 = mC,(T; – T,) And heat transferred under constant volume will be: Q = mC,(T2 – T1) v Enthalpy: Following the change in temperature, we have an enthalpy of: AH = mC,(T2 – T1)
v Entropy: Following the guiding equation as represented by the integral above we will have: ² dQ S = wherein we have: dQ = mCvdT r² dT S = mCv Evaluating the integral, we will obtain: AS = - morm) - mevm) mCvln| v Work Steady flow: For work steady flow, we follow the integral helow: W, = - [var VdP Also, from process definition: PV" = C where n = ∞ (isometric, isochoric) V = C Since the volume is constant, we can rewrite the integral above in the form, W, dP Evaluating, we will have: W, = -C(P2 – P,) Substituting V = C, W, = -V(P2 – P1) = V(P1 – P2)
Transcribed Image Text:v Entropy: Following the guiding equation as represented by the integral above we will have: ² dQ S = wherein we have: dQ = mCvdT r² dT S = mCv Evaluating the integral, we will obtain: AS = - morm) - mevm) mCvln| v Work Steady flow: For work steady flow, we follow the integral helow: W, = - [var VdP Also, from process definition: PV" = C where n = ∞ (isometric, isochoric) V = C Since the volume is constant, we can rewrite the integral above in the form, W, dP Evaluating, we will have: W, = -C(P2 – P,) Substituting V = C, W, = -V(P2 – P1) = V(P1 – P2)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Heat Exchangers
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS