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Consider an isolated system, consisting of a box of volume V0 with a
partition which separates it into two subsystems; the first subsystem has
a volume of 0.4 V0 and contains one mole of an ideal gas at 300 K, while
the other is evacuated. Calculate the entropy change in the gas during
the process of its (free) expansion on removing the partition.
Consider an isolated system, consisting of a box of volume V0 with a
partition which separates it into two subsystems; the first subsystem has
a volume of 0.4 V0 and contains one mole of an ideal gas at 300 K, while
the other is evacuated. Calculate the entropy change in the gas during
the process of its (free) expansion on removing the

Consider an isolated system that contains two pieces of copper separated by an (internal) insulating wall. Initially, the first piece is at 500K and the second is at 300K. Calculate the entropy change in the system when the insulating wall is removed; assume that each piece has half a mole of copper in it. Given: Specific heat capacity of Cu is

CP = 22.6JK−1mol−1

. [Hint: S is an extensive state function].

(b) What is the entropy change of the universe ? Comment whether the process is reversible/irreversible ?

(c) Repeat your calculations for a molar heat capacity which is a function of T: CP = 22.6 + 6.28e − 03 T Jmol−1 K−1

How does the equilibrium T change for such a CP ? Can you justify it ?


How much heat must be added to a system at 298 K for the number of
accessible states to increase by a factor -0t.1O~
Consider an isolated system, consisting of a box of volume V0 with a
partition which separates it into two subsystems; the first subsystem has
a volume of 0.4 V0 and contains one mole of an ideal gas at 300 K, while
the other is evacuated. Calculate the entropy change in the gas during
the process of its (free) expansion on removing the partition.
Suppose, you have a block of Cu of the size 1 mole. It is initially at 300 K
and is brought to a temperature of 400 K over 2 steps where temperature is
first brought to T = 350 K and then to 400K by contact with appropriate
thermal reservoirs. Treat the combination of the Cu block and the thermal
reservoir at every step to be an isolated system. Compute ∆S for the
process and compare your results with that of the previous problem. Can
you comment on the results.
(a) Calculate ∆H and ∆S, the enthalpy and entropy changes, respectively,
when one mole of copper (initially at 500 K) is brought into thermal equi-
librium with a thermal reservoir at 400 K. Consider one mole of copper
and the thermal reservoir to form an isolated system. [Hints: 1. Thermal
reservoirs are chambers which are always maintained at the same temper-
ature irrespective of the temperatures of the objects in contact with it, 2.
S is an extensive state function.]
(b) Comment whether the process is reversible or irreversible.
(a) Consider an isolated system that contains two pieces of copper sepa-
rated by an (internal) insulating wall. Initially, the first piece is at 500K
and the second is at 300K. Calculate the entropy change in the sys-
tem when the insulating wall is removed; assume that each piece has
half a mole of copper in it. Given: Specific heat capacity of Cu is
CP = 22.6JK−1mol−1
.
Define thermodynamic work and prove expression for work??
In a certain steam plant the turbine develop 703.72 kJ/kg . The heat supplied to the steam in the boiler is 2800 kJ/kg . The heat rejected by the steam to the cooling water in the condenser is 2100 kJ/kg and the net work of the cycle is -995 kW . Calculate the pump work in kj/kg and steam flow rate.
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