A 500 gram iron sphere (cFe = 452 J/kgK) with a temperature of 77K is dropped into an insulated flask containing 355 grams of water (cH2O = 4186 J/kgK) originally at room temperature (23 C).
a) how much of the water freezes?
b) how much room temperature water must be added to this mixture to remelt all of the ice?
please show step by step work! thanks!