A physics instructor drops an ice cube into an insulated bottle full of water and waits for the ice cube to completely melt. The ice cube initially has a mass of 105 g and a temperature of 0°C. The water (before the ice cube is added) has a mass of 1.00 kg and an initial temperature of 70°C. What is the final temperature (in °C) of the mixture? (Assume no energy is lost to the walls of the bottle, or to the environment.) X 15 Note the ice is initially at the melting point. What energy is associated with the phase change of the ice cube? What energy is associated with the temperature change of the (now-liquid) ice cube? What energy is associated with the temperature change of the (already liquid) water? From conservation of energy, what is the sum of these energy transfers? °C

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A physics instructor drops an ice cube into an insulated bottle full of water and waits for the ice cube to completely melt. The ice cube initially has a mass of 105 g and a temperature of 0°C. The water (before
the ice cube is added) has a mass of 1.00 kg and an initial temperature of 70°C. What is the final temperature (in °C) of the mixture? (Assume no energy is lost to the walls of the bottle, or to the environment.)
X
15
Note the ice is initially at the melting point. What energy is associated with the phase change of the ice cube? What energy is associated with the temperature change of the (now-liquid) ice cube? What energy is
associated with the temperature change of the (already liquid) water? From conservation of energy, what is the sum of these energy transfers? °C
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Transcribed Image Text:A physics instructor drops an ice cube into an insulated bottle full of water and waits for the ice cube to completely melt. The ice cube initially has a mass of 105 g and a temperature of 0°C. The water (before the ice cube is added) has a mass of 1.00 kg and an initial temperature of 70°C. What is the final temperature (in °C) of the mixture? (Assume no energy is lost to the walls of the bottle, or to the environment.) X 15 Note the ice is initially at the melting point. What energy is associated with the phase change of the ice cube? What energy is associated with the temperature change of the (now-liquid) ice cube? What energy is associated with the temperature change of the (already liquid) water? From conservation of energy, what is the sum of these energy transfers? °C Need Help? Read It
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