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

$\left.\partial T\right\vert _{p}=-\left.\partial p\right\vert _{T}=1$

$\left.\partial V\right\vert _{p}=-\left.\partial p\right\vert _{V}=\left.{\frac {\partial V}{\partial T}}\right\vert _{p}$

$\left.\partial S\right\vert _{p}=-\left.\partial p\right\vert _{S}=C_{p}/T$

$\left.\partial Q\right\vert _{p}=-\left.\partial p\right\vert _{Q}=C_{p}$

$\left.\partial W\right\vert _{p}=-\left.\partial p\right\vert _{W}=p\left.{\frac {\partial V}{\partial T}}\right\vert _{p}$

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left. \partial U \right\vert_p = - \left. \partial p \right\vert_U = C_p - p\left. \frac{\partial V}{\partial T} \right\vert_p}

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left. \partial H \right\vert_p = - \left. \partial p \right\vert_H = C_p }

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left. \partial G \right\vert_p = - \left. \partial p \right\vert_G = -S }

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left. \partial A \right\vert_p = - \left. \partial p \right\vert_A = -\left( S + p\left. \frac{\partial V}{\partial T} \right\vert_p \right)}

See also

• Thermodynamic relations
• Maxwell's relations