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What is first maxwell equation.


 Two systems A and B are arranged so that their total volume is constant, but their individual volumes can change. Calculate the standard deviation of fluctuations in the volume in system A for constant energy. (Hint: see section 4.5 for the analogous calculation of the fluctuation ill energy.)


A nozle is a deviee for incressing the velocity afa steadily lowing stream. At

the inlet toa certain nozzle. the enthalpy of the tluid passing is 3000Mkg and
the velocity is 60 ms. At the dischare end, the enthalpy is 2762 k The
nozzle is horizontal and there is negigible heat loss from it. (a) Find the velocity
al exit fron the nozzle. (b) Ir the inlet arca is 0.1 m and the specifie volume at
inlet is 0.187 m/kg. find the mass flow nie. (c) If the pecific volume at the
nozzle exit is 0.498 m'kg. ind the exit area of the nozzle.
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 a block of wood that floats with 60% of its volume above water along a portion a creek at Brookside, Baguio City. (The volume of the block is 0.5 m3 ) What is the buoyant force of water on the block of wood?
A 2940 N
B. 1960 N
C 3920 N
D 4900 N

Water flows from a pipe of diameter d to a large pipe of diameter 2d. If the speed of water in the large pipe is 4.0m/s, what is the speed of the water in the small pipe?
A. 2.0 m/s
B. 4.0 m/s
C 16.0 m/s
D. 8.0 m/s

Juan with a mass of 100. kg feels a gravitational force from Basha with a mass of 50.0 kg sitting 100.cm away. The gravitational force experienced by Basha will be that experienced by Juan.
A. same as
B. not enough information
C. less than
D. more than
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 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
. [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 ?
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