Time history of thermal band emission of a shock front, when breakout from aluminium target into vacuum, has been calculated numerically. It is assumed that the shock is produced by irradiation of high intensity sub-nanosecond pulsed laser on the surface of aluminium planar targets in vacuum. The opacity of dense plasma at the shock front and in the vacuum-aluminium interface, and its effects on thermal emissions was considered in these calculations. Using the results of an experiment that was recently reported and those of our model, the real temperature of the shock front was estimated. In that experiment simultaneous measurements of the colour temperature of dense plasma in a shock front, and the shock velocity at the time of shock breakout from the aluminium targets into the vacuum were reported for the study of the equation of state (EOS). The results of the model show a good agreement with the SESAME library EOS.