Fa04-MT1-Packard-Soln

# Fa04-MT1-Packard-Soln - Hannah Is there anything in it...

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. Hannah: Is there anything in it? Valentine: In what? We are all doomed? ( casually ) Oh yes, sure - it’s called the second law of thermodynamics. Hannah: Was it known about? Valentine: By poets and lunatics from time immemorial - Arcadia , by Tom Stoppard 3: Calorimetry and Entropy (30 Points) A hot block of metal with inital temperature T m , mass M , and speciﬁc heat C m is dropped from a height h into a container of water, speciﬁc heat C w = 2 C m , which also comains mass M of water but is at initial temperature T w . Find the entropy change of the system (metal plus water) after the block has come to rest in the water and the combined system has reached thermal equilibrium. You may assume that no water is vaporized. Neglect the container wall heat capacity and air resistance. Before we calculate any entropy changes, we need to ﬁnd the ﬁnal temper- ature of the equilibrated system. In most calorimetry problems, we would just apply Q = 0. There is a subtlety here, however. When we say that the heats

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Fa04-MT1-Packard-Soln - Hannah Is there anything in it...

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