How much steam should be introduced into the vessel?

Steam (water vapor) at 100 degrees C enters an insulated vessel containing 100 g of ice at 0 degrees C. How much steam must be introduced into the vessel so that equilibrium 50 g of the ice has melted and 50 g of the ice remains?

Specific heat of water = 4.184 J/K g

Latent heat of fusion of ice = 333 J/g

Latent heat of vaporization of water = 2260 J/g

Re: How much steam should be introduced into the vessel?

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**Hamzawesome** Steam (water vapor) at 100 degrees C enters an insulated vessel containing 100 g of ice at 0 degrees C. How much steam must be introduced into the vessel so that equilibrium 50 g of the ice has melted and 50 g of the ice remains?

Specific heat of water = 4.184 J/K g

Latent heat of fusion of ice = 333 J/g

Latent heat of vaporization of water = 2260 J/g

1. I'll convert all mass measures into kg, energy into kJ.

2. Melting 0.05 kg of ice needs

3. When steam condensates to water you have water of a temperature of 100°C. This hot water cools down to 0°C melting the ice too!

4. Solve for m (= mass of steam)

5. I've got 0.0435 kg = 43.5 g