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If the negative cosmological constant is treated as a dynamical pressure andif the volume be its thermodynamically conjugate variable then thegravitational mass can be expressed as the total gravitational enthalpy ratherthan the energy. Under these circumstances, a new phenomena emerges in thecontext of extended phase space thermodynamics. We \emph{examine} here thesefeatures for recently discovered Van-der-Waal (VDW) black hole (BH)\cite{mann15} which is analogous to the VDW fluid. We show that thethermodynamic volume is \emph{greater} than the naive geometric volume. We alsoshow that the \emph{Smarr-Gibbs-Duhem} relation is satisfied for this BH.Furthermore, by computing the thermal specific heat we find the localthermodynamic stability criterion for this BH. It has been observed that the BHdoes \emph{not} possess any kind of second order phase transition. This is aninteresting feature of VDW BH by its own right. Moreover, we also derive\emph{Cosmic-Censorship-Inequality} for this class of BH. In addition finally,we compute the \emph{logarithmic correction} to the entropy of this BH due tothe quantum fluctuations around the thermal equilibrium.

Enthalpy, Geometric Volume and Logarithmic correction to Entropy for Van-der-Waals Black Hole