In an insulated container of negligible mass, a 4.00-kg piece of iron at an unknown initial temperature is placed with 3.00 kg of ice at -30.0°C. After reaching thermal equilibrium, the container holds 2.20 kg of ice and 0.80 kg of liquid water. Determine the initial temperature of the iron. Use the Specific heat capacity of ice, 𝑐_𝑖=2.1J/g°C, the Specific heat capacity of iron, 𝑐_Fe=0.45 J/g°C, Latent heat of fusion of ice, 𝐿_𝑓=334 J/g.

• A. $1.5\times 10^{2\ \circ }\mathrm{C}$
• B. $2.0\times 10^{2\ \circ }\mathrm{C}$
• C. $2.5\times 10^{2\ \circ }\mathrm{C}$
• D. $3.0\times 10^{2\ \circ }\mathrm{C}$

Answer: (C)