View source for Cheat sheets/Thermodynamics in differential form

* Heat: dQ
* Work: dW
* Entropy: dS = dQ / T
== Internal energy ==
* <math>U = U(T,V) </math>
* <math>dU = \left ( \frac{\partial U}{\partial T} \right )_V dT +  \left ( \frac{\partial U}{\partial V} \right )_T dV </math>
* <math>dU = dQ + dW</math>
* <math>dU = C_V dT +  \left ( \frac{\partial U}{\partial V} \right )_T dV </math>

== Enthalpy ==
* <math>H = H(T,P) </math>
* <math>dH = \left ( \frac{\partial H}{\partial T} \right )_P dT +  \left ( \frac{\partial H}{\partial P} \right )_T dP </math>
* <math>dH = C_P dT + \left ( \frac{\partial H}{\partial P} \right )_T dP  </math>

==  Combined first and second law ==
* <math>dU = TdS - PdV </math>

=== Other thermodynamic potentials ===
* <math>dU = TdS  - PdV</math>
* <math>dH = TdS  + VdP</math>
* <math>dA = -SdT - PdV</math>
* <math>dG = -SdT + VdP</math>

=== Maxwell relations ===
* <math>\left ( \frac{\partial T}{\partial V} \right )_S = - \left ( \frac{\partial P}{\partial S}\right )_V</math>
* <math>\left ( \frac{\partial T}{\partial P} \right )_S =   \left ( \frac{\partial V}{\partial S}\right )_P</math>
* <math>\left ( \frac{\partial S}{\partial V} \right )_T =   \left ( \frac{\partial P}{\partial T}\right )_V</math>
* <math>\left ( \frac{\partial S}{\partial P} \right )_T = - \left ( \frac{\partial V}{\partial T}\right )_P</math>
[[Category:Physics stubs]]