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problem_set6 - U S G and C v 3 For the same lattice in...

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10.40 Thermodynamics Fall 2003 Problem Set 6 1. Consider a gas mixture of carbon dioxide and nitrogen at 298 K and 5 bar. (a) How would you model this mixture in terms of its enthalpy and entropy? Be sure to specify your reference states when describing your model. (b) Estimate the minimum work required to separate 100 moles of a 40 mole% nitrogen mixture into pure carbon dioxide and nitrogen. (c) Would your model need to change if the pressure were increased to 200 bar? If so, how? You are not required to perform detailed calculations, but be sure to give the your approach to solving the problem. Include any parameters that you would need to look up or estimate in order to solve the problem. 2. Given a 3D lattice model, 10x10x10, which is connected to a bath at 298 K and in which there are 100 non-interacting gas particles having no internal structure, each of which are located only at the lattice points, calculate
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Unformatted text preview: U , S , G , and C v . 3. For the same lattice in number 2., but now with only 2 non-interacting particles, each of which can exist in only two states, such that E 1 = 3 kcal/mol and E 2 = 5 kcal/mol, calculate U , S , G , and C v . (Note that this is a simple model of a two-state equilibrium, such as a protein which can exist in either a folded or unfolded state, in solution.) 4. For 0.5 mol of O 2 at 0.1 atm., and 1000 K, compute U , S , G , and C v . You may treat O 2 as an ideal gas at these T and P conditions. Note that both O 2 and the O atom have a net spin of 1 in their ground states. Also the first excited electronic state of O 2 occurs at a thermal energy of 11,300 K and has a net spin of 1/2. The bond dissociation energy of O 2 , D o , is 117.1 kcal/mol and the thermal vibrational and rotational energies are 2230 K and 2.07 K respectively. Created on December 21, 2004...
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