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A bathtub with a capacity of 85 liters must be filled with water at a temperature of 30°C, using water at 80°C and ice at a temperature of -20°C. Determine the mass of ice that should be placed in the bath. The specific heat of melting of ice is 336 kJ/kg, the specific heat capacity of ice is 2100 J/(kg*K), the specific heat capacity of water is 4200 J/(kg*K).
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