Problem Set 3: Due by Oct. 16 in class
Problem 1.
Two blocks of the same metal and same size are at different temperatures
T
1
and
T
2
.
Each block’s heat capacity at a constant pressure is
C
P
. These blocks are brought together and
allowed to come to the same temperature. It is done at a constant pressure and it is assumed that
C
P
is temperatureindependent. Assume that the entire blocks are thermally isolated from the
surrounding.
(a)
Express the entropy change of the two blocks (block 1 + block 2) with
C
P
,
T
1
and
T
2
.
(b)
Is this change spontaneous? Assume that these two blocks are isolated from the
surrounding.
Problem 2.
Calculate the entropy change when one mole of ice at 268K is melted to form water at
323K. The pressure is constant at 1 atm. The heat capacity (
C
P
) of ice and water are 3.8J/K/mol
and 75.3 J/K/mol, respectively. Assume that the heat capacities of ice and water are independent of
temperature. The enthalpy of melting of ice at 273.15K is 6.02 kJ/mol.
Problem 3.
(a) What is the maximum work that can be obtained from 1000 J of heat supplied to a
steam engine with a high temperature reservoir at 100
C if the radiator is at 20
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 Fall '10
 Wilson
 Thermodynamics, Energy, Heat, constant temperature

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