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bmb428_problemset05 - BMB428 Physical Chemistry with...

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BMB428 Dr. Song Tan Physical Chemistry with Biological Applications Fall 2007 Problem Set 5: Heat Capacity Due Sept 13, 2007 As with previous Problem sets, groups of four or fewer students can hand in a problem set together. 1. A block of metal of mass 1 kg is heated to 400 K and then dropped into 0.3 kg of water. The water rises in temperature from 294 K to 310 K. The heat capacity of water is 4200 J/K•kg. You can assume that all of the heat in the metal passed into the final system with no loss to the surroundings. Draw a cartoon showing the initial and final states of this system. Calculate the heat capacity per kg of the metal. Assume no work is exchanged. 2. What experimental conditions distinguishes C P from C V ? 3. Use the First Law of Thermodynamics and the definition of heat capacity (p. 50, also equation 3.16) to show that d q = C V d T + P d V (equation was introduced in Problem Set 2, question 8) for an ideal gas. Assume that P = P ext .
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