For a pure species, the slope of the melting line
$$\frac{dP}{dT} \; \text{at} \; -2 \; ^{\circ} \textrm{C} \; \text{is} -5.0665 \times 10^{6} \text{Pa K}^{-1}.$$
The difference between the molar volumes of the liquid and solid phase at $-2 ^{\circ} \text{C}$ is  $-4.5\times 10^{6} \; \text{m}^{3} \text{mol}^{-1}.$

The value of the latent heat of fusion (rounded off to nearest integer) is __________ $\text{J} \; \text{mol}^{-1}.$