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

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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
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.
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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