Bridgman thermodynamic formulas

Notation used (from Table I):

• $p$ is the pressure.
• $T$ is the temperature (in Kelvin).
• $V$ is the volume.
• $S$ is the entropy.
• $Q$ is the heat.
• $W$ is the work.
• $U$ is the internal energy.
• $H$ is the enthalpy
• $G$ is the Gibbs energy function
• $A$ is the Helmholtz energy function.

Bridgman thermodynamic formulas

Table II

pressure

${\partial T|}_p=-{\partial p|}_T=1$

${\partial V|}_p=-{\partial p|}_V={\frac{\partial V}{\partial T}|}_p$

${\partial S|}_p=-{\partial p|}_S=C_p/T$

${\partial Q|}_p=-{\partial p|}_Q=C_p$

${\partial W|}_p=-{\partial p|}_W=p{\frac{\partial V}{\partial T}|}_p$

${\partial U|}_p=-{\partial p|}_U=C_p-p{\frac{\partial V}{\partial T}|}_p$

${\partial H|}_p=-{\partial p|}_H=C_p$

${\partial G|}_p=-{\partial p|}_G=-S$

${\partial A|}_p=-{\partial p|}_A=-(S+p{\frac{\partial V}{\partial T}|}_p)$

temperature

${\partial V|}_T=-{\partial T|}_V=-{\frac{\partial V}{\partial p}|}_T$

${\partial S|}_T=-{\partial T|}_S={\frac{\partial V}{\partial T}|}_p$

${\partial Q|}_T=-{\partial T|}_Q=T{\frac{\partial V}{\partial T}|}_p$

${\partial W|}_T=-{\partial T|}_W=-p{\frac{\partial V}{\partial p}|}_p$

See also

• Thermodynamic relations
• Maxwell's relations