What is the final equilibrium temperature when 40.0 grams of ice at 0°C is mixed with 5.00 grams of steam at 120°C? The specific heat of ice is 2.10 kJ/kg °C, the heat of fusion for ice at 0°C is 333.7 kJ/kg, the specific heat of water 4.186 kJ/kg °C, the heat of vaporization of water at 100°C is 2,256 kJ/kg, and the specific heat of steam is 2.020 kJ/kg °C.
mL ice + mc(Tf-0) ice water + mc(Tf-100) hot steam - mL steam + mc(100-120) steam = 0
Solve for Tf