Suppose 13.7kJ of heat are removed from 33.5g liquid sample of ethanol at 26.8^oC. When all this heatis removed from the substance, at what temperature and in what states will you find the substance?

The specific heat of liquid ethanol is 2.46 J/goC. The freezing point is -114 C.

To lower 33.5 g of ethanol to the freezing point requires the removal of 11.5 kJ of heat, in this case.

That leaves 2.5 kJ left over to carry out the phase transition to solid ethanol. That may or may not be enough to freeze it all. You will need to look up the heat of fusion to determine that.