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### homework2

Course: MSE 305, Spring 2011
School: UVA
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Word Count: 342

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#2 homework (page 1 or 2) 1. One mole of copper at a uniform temperature of 0C is placed in thermal contact with a second mole of copper which, initially, is at a uniform temperature of 100C. The pressure in the system is maintained at 1 atm. The two moles of copper are thermally insulated from the surroundings. Temperature dependence of the constant pressure heat capacity of solid copper can be described by Cp =...

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#2 homework (page 1 or 2) 1. One mole of copper at a uniform temperature of 0C is placed in thermal contact with a second mole of copper which, initially, is at a uniform temperature of 100C. The pressure in the system is maintained at 1 atm. The two moles of copper are thermally insulated from the surroundings. Temperature dependence of the constant pressure heat capacity of solid copper can be described by Cp = 33.64 + 6.28 10-3 T J/mole K. (a) Calculate the common temperature of the 2 mole system, which is contained in an adiabatic enclosure, when thermal equilibrium is attained. (b) How much heat is transferred between the two parts of the system? (c) How much entropy is produced by the transfer? 2. Consider a small cube of silver enclosed in a reservoir so large that small transfer of heat to silver does not change its temperature, 1400 K. Calculate the total entropy produced in the silver-reservoir system when 1 mole of superheated crystalline silver spontaneously melts at 1400 K and 1 atm pressure. Assume temperature independent heat capacities cp 32.6 = J/K/mol for solid silver and cp = 30.5 J/K/mol for liquid silver. The equilibrium melting temperature is Tm = 1234 K, molar heat of melting is Hm = 11090 J/mol. Based on the 2nd law of thermodynamics prove that silver will melt spontaneously at 1400 K. MSE 3050, Phase Diagrams and Kinetics, Leonid Zhigilei homework #2 (page 2 of 2) 3. A new gaseous species has been made in the laboratory. The number of atoms in each molecules and molecular structure is unknown. Explain how measurements of molar heat capacity can help to identify the molecules. Does the molar heat capacity depend on the size (number of atoms) of the molecule? Does an investigation of the temperature dependence of the heat capacity of the gas gives any additional useful information about the new species? If yes, what is the information? Does the mass of atoms and strength of the interatomic bonds has any effect on the molar heat capacity or its temperature dependence? A qualitative answer to this question will be sufficient. MSE 3050, Phase Diagrams and Kinetics, Leonid Zhigilei
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UVA - MSE - 305
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UVA - MSE - 305
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UPenn - MATH - 260
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UPenn - MATH - 260
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UPenn - MATH - 260
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