Problem 15: 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 6-kg bag that was kept at a temperature of -4.6°C. When you get to the party, you find a large cooler to put the ice in. There is already 31 L (i.e., 31 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 × 105J/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.
Energy transfer
The flow of energy from one region to another region is referred to as energy transfer. Since energy is quantitative; it must be transferred to a body or a material to work or to heat the system.
Molar Specific Heat
Heat capacity is the amount of heat energy absorbed or released by a chemical substance per the change in temperature of that substance. The change in heat is also called enthalpy. The SI unit of heat capacity is Joules per Kelvin, which is (J K-1)
Thermal Properties of Matter
Thermal energy is described as one of the form of heat energy which flows from one body of higher temperature to the other with the lower temperature when these two bodies are placed in contact to each other. Heat is described as the form of energy which is transferred between the two systems or in between the systems and their surrounding by the virtue of difference in temperature. Calorimetry is that branch of science which helps in measuring the changes which are taking place in the heat energy of a given body.
Problem 15: 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 6-kg bag that was kept at a temperature of -4.6°C. When you get to the party, you find a large cooler to put the ice in. There is already 31 L (i.e., 31 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 × 105J/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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