(2) A block (100 [g]) of metal of heat capacity 1000 [J/K] is cooled from 400 [K] to 300 [K] in two ways. (i) The metal block is put into a large liquid bath at 300 [K] (ii) The metal block is put into an intermediate bath at 350 [K] and equilibrated, then put into another bath at 300 [K] Calculate the entropy changes of the metal block plus the bath(s) for (i) and (ii). Show that in the limit of an infinite number of intermediate baths the total entropy change is zero.
(2) A block (100 [g]) of metal of heat capacity 1000 [J/K] is cooled from 400 [K] to 300 [K] in two ways. (i) The metal block is put into a large liquid bath at 300 [K] (ii) The metal block is put into an intermediate bath at 350 [K] and equilibrated, then put into another bath at 300 [K] Calculate the entropy changes of the metal block plus the bath(s) for (i) and (ii). Show that in the limit of an infinite number of intermediate baths the total entropy change is zero.
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