Process
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Constant
|
Known ratio or delta
|
p2
|
V2
|
T2
|
Isobaric process
|
Pressure
|
V2/V1
|
p2 = p1
|
V2 = V1(V2/V1)
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T2 = T1(V2/V1)
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T2/T1
|
p2 = p1
|
V2 = V1(T2/T1)
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T2 = T1(T2/T1)
|
Isochoric process (Isovolumetric process) (Isometric process)
|
Volume
|
p2/p1
|
p2 = p1(p2/p1)
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V2 = V1
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T2 = T1(p2/p1)
|
T2/T1
|
p2 = p1(T2/T1)
|
V2 = V1
|
T2 = T1(T2/T1)
|
Isothermal process
|
Temperature
|
p2/p1
|
p2 = p1(p2/p1)
|
V2 = V1/(p2/p1)
|
T2 = T1
|
V2/V1
|
p2 = p1/(V2/V1)
|
V2 = V1(V2/V1)
|
T2 = T1
|
Isentropic process (Reversible adiabatic process)
|
Entropy[a] |
p2/p1
|
p2 = p1(p2/p1)
|
V2 = V1(p2/p1)(−1/γ)
|
T2 = T1(p2/p1)(γ − 1)/γ
|
V2/V1
|
p2 = p1(V2/V1)−γ
|
V2 = V1(V2/V1)
|
T2 = T1(V2/V1)(1 − γ)
|
T2/T1
|
p2 = p1(T2/T1)γ/(γ − 1)
|
V2 = V1(T2/T1)1/(1 − γ)
|
T2 = T1(T2/T1)
|
Polytropic process
|
P Vn
|
p2/p1
|
p2 = p1(p2/p1)
|
V2 = V1(p2/p1)(−1/n)
|
T2 = T1(p2/p1)(n − 1)/n
|
V2/V1
|
p2 = p1(V2/V1)−n
|
V2 = V1(V2/V1)
|
T2 = T1(V2/V1)(1 − n)
|
T2/T1
|
p2 = p1(T2/T1)n/(n − 1)
|
V2 = V1(T2/T1)1/(1 − n)
|
T2 = T1(T2/T1)
|
Isenthalpic process (Irreversible adiabatic process)
|
Enthalpy[b] |
p2 − p1
|
p2 = p1 + (p2 − p1)
|
|
T2 = T1 + μJT(p2 − p1)
|
T2 − T1
|
p2 = p1 + (T2 − T1)/μJT
|
|
T2 = T1 + (T2 − T1)
|