A binary system at a constant pressure with species $’1’$ and $’2’$ is described by the two-suffix Margules equation, $\frac{g^{E}}{RT}=3x_{1}x_{2}$, where $g^{E}$ is the molar excess Gibbs free energy, $R$ is the universal gas constant, $T$ is the temperature and $x_{1},\:x_{2}$ are the mole fraction of species $1$ and $2$, respectively.

At a temperature $T$, $\frac{g_{1}}{RT}=1$ and $\frac{g_{2}}{RT}=2$, where $g_{1}$ and $g_{2}$ are the molar Gibbs free energies of pure species $1$ and $2$, respectively. At the same temperature, $g$ represents the molar Gibbs free energy of the mixture. For a binary mixture with $40$ mole$\%$ of species $1$, the value (rounded off to the second decimal place) of $\frac{g}{RT}$ is __________