Answer to Question #1634 in Molecular Physics | Thermodynamics for Bila Hussa

Question

How many grams of steam at 110 C must be added to 1kg of ice a 0 C to melt it without raising its temperature?

Answer 1

Specific heat of ice fusion: 333.55 kJ/kg
Specific heat of water vaporization: 2256 kJ/kg
Specific heat capacity of steam: 1.996 kJ/kg
Let's write the heat equation:
333.55[kJ/kg]*1[kg] = 1.996[kJ/kgK]*(110-100)[K]*m + 2256 kJ/kg*m

therefore
m = 333.55/2275.96 = 0.1466 kg = 146.6 [g]