# hw2_F - CH353M Homework assignment 2(due Fri Sep 30 1(10...

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CH353M Homework assignment 2 ( due Fri Sep 30 ) 1 . (10 points). Entropy changes during heat exchange . Two identical blocks of the same material with temperature independent heat capacities C p are brought together. Their initial temperatures are T 1 and T 2 , T 1 < T 2 . Heat exchange with the surroundings can be neglected. Some time later the temperature of the first block was found to be 1 T (note that 1 T is not the equilibrium temperature but a temperature measured at some point in the course of the equilibration process). A. What is the temperature of the second block at the same time? B. Calculate the entropy of the system (the two blocks) at this moment. C. Show that a process such that 1 T < T 1 would violate the 2 nd law D. Finally, find the maximum of the system’s entropy as a function of 1 T . Demonstrate that 1 T corresponding to this maximum is, indeed, the equilibrium temperature. 2 . Mixing of two gases . n 1 moles of an ideal gas 1 are separated from n 2 moles of an ideal gas 2 by a partition that does not conduct heat (see Figure below). The volumes occupied by the gases are V 1 and V 2 , respectively, and their temperatures are T 1

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