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 the detailed explanation please

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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 the detailed explanation please
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)
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