  In this paper, we study the $P-v$ criticality of a specific charged AdS type
black hole (SBH) in $f(R)$ gravity coupled with Yang-Mills field. In the
extended phase space, we treat the cosmological constant as a thermodynamic
pressure. After we study the various thermodynamical quantities, we show that
the thermodynamic properties of the SBH behave as a Van der Waals liquid-gas
system at the critical points and there is a first order phase transition
between small-large SBH.
