What mass of steam at 100°C must be mixed with 119 g of ice at its melting point, in a thermally insulated container, to produce liquid water at 57.0°C? The specific heat of water is 4186 J/kg·K. The latent heat of fusion is 333 kJ/kg, and the latent heat of vaporization is 2256 kJ/kg?

Explanation:

Given

mass of ice

Final temperature of liquid

Specific heat of water

Latent heat of fusion

Latent heat of vaporization

Suppose M is the mass of steam at

Heat required to melt ice and convert it to water at

Heat released by steam

and must be equal as the heat gained by ice is equal to Heat released by steam

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explanation:

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