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1. A soft drink, 260 mL of mostly water initially at 10.0°C, is cooled by adding 107 g of ice cubes at 0°C. What mass of ice remains when the temperature of the drink reaches equilibrium with water and ice at 0°C? The enthalpy of fusion of water (i.e., the heat required to melt ice) is 6.007 kJ/mol. The density of the water is 1.0 g/mL. Assume the specific heat capacity of water is constant and equal to 4.184 J/g/°C. Enter the volume with the appropriate number of significant figures.
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2. When 10.0 mL of water at 33.0°C is combined with 17.0 mL of water at 53.0°C, what is the final temperature of the water? The specific heat of water is 4.184 J/g/K and its density is 1.0 g/mL. Enter the value with the appropriate number of significant figures.
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3. The gas inside a flexible container (e.g., a balloon) is allowed to expand against a constant external pressure of 1.70 bar until the volume increases from 2.90 L to 7.60 L. Calculate the amount of work done on the system. Enter the value with the appropriate number of significant figures.
Two identical rods, each at an initial temperature of 48°C, are brought into thermal contact with each other. What will be the final temperature of both rods at equilibrium? Enter the value with the appropriate number of significant figures.