You are on your way to a party when the host asks you to pick up a bag of ice. At the grocery store you grab a 5-kg bag that was kept at a temperature of -3.4°C. When you get to the party, you find a large cooler to put the ice in. There is already 29 L (i.e., 29 kg) of water in the cooler at a temperature of 19°C. You toss the ice into the water and close the lid. The specific heat and latent heat of fusion for water are 4186 J/(kg⋅°C) and 3.34 × 105 J/kg, respectively. The specific heat of ice near its freezing point is 2000 J/(kg⋅°C). Find the temperature, in degrees Celsius, of the water in the cooler after the party. Assume the ice maintains its temperature on the way to the party and the cooler is well insulated.
You are on your way to a party when the host asks you to pick up a bag of ice. At the grocery store you grab a 5-kg bag that was kept at a temperature of -3.4°C. When you get to the party, you find a large cooler to put the ice in. There is already 29 L (i.e., 29 kg) of water in the cooler at a temperature of 19°C. You toss the ice into the water and close the lid. The specific heat and latent heat of fusion for water are 4186 J/(kg⋅°C) and 3.34 × 105 J/kg, respectively. The specific heat of ice near its freezing point is 2000 J/(kg⋅°C).
Find the temperature, in degrees Celsius, of the water in the cooler after the party. Assume the ice maintains its temperature on the way to the party and the cooler is well insulated.
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