Derive the seven general property equation of the following thermodynamics processes: a. ISOTHERMAL PROCESS - Any Process relation - Work Non-flow - Internal Energy - Heat Transferred - Enthalphy - Entropy - Work Steady flow refer with the picture. Show the detailed explanation please
Derive the seven general property equation of the following thermodynamics processes: a. ISOTHERMAL PROCESS - Any Process relation - Work Non-flow - Internal Energy - Heat Transferred - Enthalphy - Entropy - Work Steady flow refer with the picture. Show the detailed explanation please
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
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Derive the seven general property equation of the following thermodynamics processes:
a. ISOTHERMAL PROCESS
- Any Process relation
- Work Non-flow
- Internal Energy
- Heat Transferred
- Enthalphy
- Entropy
- Work Steady flow
refer with the picture. Show the detailed explanation please

Transcribed Image Text:3. Isothermal Process
AU = 0
Isothermal process is the process applied to ideal gas by which
- Heat Transferred:
the temperature is held constant and from this process, the 7-
Following the relation of heat transfer, we have:
general equations can be related to the process as follow:
Q=0+ W.
* Any Process relation:
Q = w, - PVin
A = MRTIN = mRTin A
| =
PV = C
* Enthalpy:
P,V = P,V2
Since there is a constant temperature, we have an enthalpy of:
V Pz
V2 P
AH = 0
* Entropy:
v Work Non-flow:
Following the guiding equation as represented by the to obtain
For process relation, by holding the temperature constant under
AS,
this process, we can have T=Cand that so employing again the
S-
integral,
wherein we have:
W, = [Pav
Pdl
Q = mRTin #) = mRTIn )
from process definition:
Evaluating to obtain the change in entropy,
PV" = C where n =1 (isothermal)
PV = C
AS = mRin #) =
| mRine
P =
- Work Steady flow:
For work steady flow, we follow the integral below:
substituting to the integral and evaluating:
W, = -
W. - [av = c [
w. = PVin 4)-
AP:
Also, from process definition:
= MRTI
PV" = C wheren = 1 (isothermal)
PV = C
and where PV can be either obtain from state point 1 or 2.
v Internal Energy:
V =
Since there is a constant temperature, we have an internal energy
substituting to the integral and evaluating:
of:
dP
w, = PVin
A = MRTIN
= MRTIN
From the derived relation, we conclude that in isothermal process
non-flow work is equal to work steady flow.
W, = W.
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