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

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Chapter5: Analysis Of Convection Heat Transfer
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Derive the seven general property equation of the following thermodynamics processes: a. ISOMETRIC PROCESS - Any Process relation - Work Non-flow - Internal Energy - Heat Transferred - Enthalphy - Entropy - Work Steady flow refer with the picture. Show all the detailed explanation
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 P2
V2 P,
AH = 0
* Entropy:
* 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
integral,
wherein we have:
W, = [Pav
Pdl
Q = mRTin #) = mRTIn )
from process definition:
PV" = C where n=1 (isothermal)
Evaluating to obtain the change in entropy,
PV = C
AS = mRin #)
|= mRin
P =
- Work Steady flow:
For work steady flow, we follow the integral below:
substituting to the integral and evaluating:
W, = -
W. =
AP:
dV =
Also, from process definition:
w. = PVine-
PV" = C wheren =1 (isothermal)
= mRTin
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:
² dP
W, = -
w, = PVIn
= MRTIN
mRTIn 2
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 P2 V2 P, AH = 0 * Entropy: * 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 integral, wherein we have: W, = [Pav Pdl Q = mRTin #) = mRTIn ) from process definition: PV" = C where n=1 (isothermal) Evaluating to obtain the change in entropy, PV = C AS = mRin #) |= mRin P = - Work Steady flow: For work steady flow, we follow the integral below: substituting to the integral and evaluating: W, = - W. = AP: dV = Also, from process definition: w. = PVine- PV" = C wheren =1 (isothermal) = mRTin 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: ² dP W, = - w, = PVIn = MRTIN mRTIn 2 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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