As shown in the figure below, you have a system including a Beryllium cup with mass M_cup = 0.495 kg. The cup contains water with mass M_water = 0.241 kg. Both the cup and water are initially at a temperature of 58.9 degrees Celsius. You drop ice into the system. The ice has an initial temperature of -58.3 degrees Celsius and a mass of M_ice = 1.2270 kg. The system will reach equilibrium with none the ice having melted, but some of the water having frozen at the final temperature of 0 degrees Celsius.

0 None of the ice melts. - Some of the water freezes onto the ice! The system reaches equilibrium at T=0 C Material c (J/ (kg K)) Aluminum 897 Beryllium 1820 Water c (J/ (kg K)) Cadmium 231 Water L (J/kg) ice 2090 Iron 412 Fusion 334000 water 4186 Lead 129 Vaporization 2230000 steam 2010 Polyethylene 2303 Steel 466 Uranium 116