Thermo Cheat Sheet

1. Thermodynamics Cheat Sheet
Basic thermodynamic processes
p: pressure [Pa] γ: cp/cV
V , ∆V : volume, change in volume [m3
] Wg: work done by the gas [J]
T, ∆T: temperature, change in temperature [K] Q: heat transferred to the gas [J]
m: mass [kg] ∆U: change in internal energy [J]
cp, cV : specific heat at constant pressure, volume J
kgK
Process Definition Work done by the gas Heat transfer Change in internal energy
isobaric p = const. Wg = p∆V Q = cpm∆T ∆U = Q − Wg
isochoric V = const. Wg = 0 Q = cV m∆T ∆U = Q
isothermal T = const. Wg = nRT ln
V2
V1
Q = −nRT ln
V2
V1
∆U = 0
adiabatic Q = 0 Wg = −
p2V2 − p1V1
γ − 1
Q = 0 ∆U = −Wg