Latent Heat and Phase Changes

As energy is transferred between objects, heat within the substance either decreases or increases to achieve thermal equilibrium between the two objects. Now as energy increases, the matter undergoes a phase change from a solid (at the coldest temperatures) to a liquid and eventually becoming a gas (at the highest temperatures).

So the official formula for finding the energy to change phases is:

Q1 = cm(delta T) - This is for heating the ice to the melting point

Q2 = mL(fusion) - The heat required to melt the ice

Q3 = cm(delta T) - This is for heating the water

Q4 = mL(vaporization) - The heat required to evaporate the water

Q5 = cm(delta T) - This is for heating the vapor

and Q(total) = Q1 + Q2 + Q3 + Q4 + Q5

"m" is the mass of the matter, "delta T" is the change in temperature, and "c" is the specific heat for whatever substance is being heated or cooled.

Now in Super Mario Sunshine there are these massive ice cubes which seem to defy the laws of physics entirely. To make the numbers nice, we will assume that these ice cubes are perfect 1.5m x 1.5m x 1.5m cubes (3.375m^3) of ice based on their size within the game (This is a rough, but close, estimate). So this would make the mass of the cube be approximately 3105kg. Based on the information stated above, it is absurd to think that Mario could melt that entire cube of ice with approximately 50g of water out of a backpack.