Boublik 2D hard convex body equation of state

Boublik 2D hard convex body equation of state

Helmholtz energy function (Eq. 8):

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\frac {\Delta A}{RT}}=-\ln(1-y)+{\frac {\gamma y(1+cy)}{1-y}}}

where $y$ is the packing fraction and 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 c} is an unknown parameter and 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 \gamma} is the non-sphericity factor.

Compressibility factor (Eq. 9)

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 Z = \frac{ 1 }{1-y } + \frac{\gamma y \left( 1+2cy - cy^2\right) }{(1-y)^2} }

For the hard disk model (Eq. 11)

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 Z = \frac{ 1 }{1-y } + \frac{\gamma y \left[ 1+ \gamma \left(y/7 - y^2/14 \right) \right]}{(1-y)^2} }

where 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 \gamma =1}