Suppose an ice cube weighing 28.2 g at a temperature of -9 °C is placed in 420 g water at a temperature of 29 °C. Calculate the temperature after thermal equilibrium is reached, assume no heat loss to the surroundings. The enthalpy of fusion of ice is ΔHfus = 6.007 kJ mol-1, and the molar heat capacities cp of ice and water are 38 and 75 J K-1 mol-1, respectively.
I was told to do this in three steps
1. q from -9 to 0
2. then use the enthalpy of fusion
3. calculate the entire thing
I didn't really understand what this all means. I'm thinking I just the q=nc(T(final)-T(initial)) for the first part but I don't really get how to relate the rest of this to it.