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hw2 - CH353 Homework assignment 2(due Thursday Feb 19 1(10...

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CH353 Homework assignment 2 ( due Thursday Feb 19 ) 1 . (10 points). 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 . 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 . 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 and T 2 . There is no heat exchange between the entire system (the two gases) and the surroundings.
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