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What mass of steam at 100℃ must be added to 1.60 kg of ice at 0℃ to yield liquid water at 15 ℃?

What mass of steam at 100℃ must be added to 1.60 kg of ice at 0℃ to yield liquid water at 15 ℃? The heat of fusion for water is 333 kJ/kg, the specific heat is 4186 J/kg·℃, the heat of vaporization is 2260 kJ/kg. 

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