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For Any Process: Combined Gas Law
P1V1 / T1 = P2V2 / T2
For Any Process: Δh

For Any Process: ΔU

For Any Process: k

Constant Volume Process: Keywords
Isometric, Isochoric, Isovolumic ; rigid tank, air tank, vessel
Constant Volume Process: Combined Gas
P1 / T1 = P2 / T2
Constant Volume Process: Q

Constant Volume Process: W
W = 0
Constant Volume Process: Δh

Constant Volume Process: ΔU

Constant Volume Process: Δs

Constant Pressure Process: Keywords
Isobaric
Constant Pressure Process: Combined Gas
V1 / T1 = V2 / T2
Constant Pressure Process: Q

Constant Pressure Process: W
W = P(V2 - V1) = mR (T2-T1)
Constant Pressure Process: Δh

Constant Pressure Process: ΔU

Constant Pressure Process: Δs

Constant Temperature Process: Keywords
Isothermal and Hyperbolic
Constant Temperature Process: Combined Gas
P1V1 = P2V2
Constant Temperature Process: W

Constant Temperature Process: Q

Constant Temperature Process: Δh
Δh = 0
Constant Temperature Process: ΔU
ΔU = 0
Constant Temperature Process: Δs

Isentropic Process: Description
PV^k = C ; reverse adiabatic
Isentropic Process: Combined Gas
P2/P1 = (V1/V2)^k
T2/T1 = (V1/V2)^k-1
T2/T1 = (P2/P1)^(k-1)/k
Isentropic Process: k

Isentropic Process: W

Isentropic Process: Q
Q = 0
Isentropic Process: Δh

Isentropic Process: ΔU

Isentropic Process: Δs
Δs = 0
Polytropic Process: Description
PV^n = C ; internally reversible adiabatic
Polytropic Process: if n = 1
if n = 1, the process is constant temperature
Polytropic Process: if n = 0
if n = 0, the process is constant pressure
Polytropic Process: if n = infinity
if n = infinity, the process is constant volume
Polytropic Process: if n = k
if n = k, the process is isentropic
Polytropic Process: Combined Gas
P2/P1 = (V1/V2)^n
T2/T1 = (V1/V2)^n-1
T2/T1 = (P2/P1)^(n-1)/n
Polytropic Process: W

Polytropic Process: Q

Polytropic Process: Cn

Polytropic Process: Δh

Polytropic Process: ΔU

Polytropic Process: Δs
