Kumari-Dass equation of state

Kumari and Dass presented a model based on a linear bulk modulus equation, in the spirit of the Murnaghan equation of state. The equation of state does not correctly model the bulk modulus as the pressure, $p$, tends towards infinity, as it remains bounded. This is apparent in the equation relating the bulk modulus to pressure:

$B=B_{0}+{\frac {B_{0}'}{\lambda }}\left(1-e^{-\lambda p}\right)$

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 B_0} is the isothermal bulk modulus, 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 B_0'} is the pressure derivative of the bulk modulus 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 \lambda} is a softening parameter for the bulk modulus. This leads to a equation for pressure dependent on these parameters of the form:

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 p=\frac{1}{\lambda}\left[\frac{\lambda B_0 \left(V/V_0\right)^{-\lambda B_0 + B_0'}+B_0'}{\lambda B_0 + B_0'}\right]}