Calculate the entropy change when 1 mole of ice at 268 K is melted to form water at 323 K. The heat capacity of ice is 3.8 J K-1 kg-1 and that of water is 75 J K-1 kg-1. The enthalpy of fusion of ice at 273 K is 6.02 kJ mol-1.
I know the entropy change by the melting of the ice is given by
and that this is worked out by the enthalpy of fusion.
My question is how do I calculate the entropy change caused by the change in temperature since it is not at a constant temperature does this mean the first equation cannot be used?
Also this isn't a homework question it is an exam question from a previous year and my exam is tomorrow.