Will the water added to an ice piece freeze? Water, at room temperature is poured into a hole made of a block of melting ice(kept at room temperature).I was wondering if the water will ever freeze?
Thank you.
 A: Ice coming from the freezer will typically be around -19 deg. celsius, and can only be stored for a limited time at room temperature. As soon as the ice is heated to 0 deg. or above, the ice will melt into liquid water. Liquid water coming into contact with ice will be cooled, and if cooled below 0 deg. it will also freeze.
The answer to your question is that it will depend on how much ice, how much water, and the starting temperatures of these(and much more if you really goes into small detail like the dynamic of energy transport). Everything is controlled by energy, to do the real calculations, you need constants like the heat capacity of water, and ice, and the melting energy.
A: Water  kept in the hole  loses heat to the ice and cools down to 0°C. Here, both ice and water are at  same temperature so that water cannot give out Latent heat to the ice and hence it does not freeze .
A: Yes, if amount of ice is significantly larger than water; or else there's a large enough temperature difference between ice and water. this is entirely because temperature affects the mobility, kinetic energy and also extent of hydrogen bonding(which is significant in case of water as it accounts for density phenomenon at 4 degree Celsius). its been found that energy required to melt a unit amount of ice is significantly larger than energy required to raise its temperature by a unit degree. reason accounts for a higher latent energy than specific heat capacity of ice.
since nature prefers least potential energy state(here; it prefers spending least possible energy in this process) in an ice-water system, equilibrium is achieved either by converting water into ice or vice-versa, or a mixture of both coexisting at zero degree. the origin of latent and specific heat capacities can be originated to packing, and types of molecular interactions involved in respective constituents.
A: Assuming the block of ice is at 0 degrees, the water will be kept at 0 degrees, and will evaporate at the top, and freeze at the bottom from the heat gone to evaporation until it is all solid ice.
A: As water is poured into the hole, its temperature will decrease to 0 degree Celsius and it will be in thermal equilibrium with the ice. Finally it cannot loose any more heat energy after that and it won't melt.
