Question

An insulated cylinder is initially divided into halves by a
frictionless, thermally conducting piston. On one side of the
piston is 1 m^{3} of a gas at 300 K, 2 bar. On the other
side is 1 m^{3} of the same gas at 300 K, 1 bar.The piston
is released and equilibrium is attained, with the piston
experiencing no change of state. Employing the ideal gas model for
the gas, determine

**(b)** the final pressure, in bar.

**(c)** the amount of entropy produced, in
kJ/K.

Answer #1

A 0.2 m3 piston-cylinder initially contains 400 K air. A heavy
frictionless piston maintains a pressure of 500 kPa abs. Then, a
weakness in the cylinder wall blows out and creates a hole. Air
escapes through the hole until the piston drops far enough to cover
the hole. At that point, the volume is half the initial volume.
During this process, 75 kJ of heat is transferred to the 100 kPa,
300 K surroundings. Using Cp = 1.005 kJ/kg-K and...

H3.3 A frictionless piston-cylinder device contains 2 kg of H2O
initially at T1 = 300◦C and p1 = 5 bar. The device is cooled at
constant pressure until the volume is ∀2 = 0.5 m3 . Assume a
quasiequillibrium process which occurs slowly with no acceleration
as the piston moves. Kinetic and potential energy effects are
negligible. Determine: a. work [kJ] during process (indicate
magnitude and direction) b. heat transfer [kJ] during process
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An insulated cylinder is fitted with an airtight piston that is
free to slide up and down and is connected to a rod, as shown in
the figure. Contained within the cylinder is an ideal gas initially
at a pressure of 120 kPa and temperature of 293 K. Suddenly the
piston is forced downward creating an additional 200 kPa of
pressure on the gas and as a result the cylinder volume decreases
to one-half of its original volume. (a) What...

A cylinder of indefinite height contains a frictionless and
massless piston. The
part of the cylinder above the piston is exposed to the
atmosphere with P=1.000 atm.
In the bottom of the cylinder are 5.000 kmoles of a liquid that
has a boiling point
equal to 320.0 K at P=1.000 atm., a heat of vaporization of
2.520 X 107J/kmole, and
cp = a+bT-1 for the liquid phase, where a=3.000x104
J/kmole/K and b=2.500x104J/kmole.
A. At constant pressure, how much heat is required...

An insulated cylinder is fitted with an airtight piston that is
free to slide up and down and is connected to a rod. Contained
within the cylinder is an ideal gas initially at a pressure of 120
kPa and temperature of 293 K. Suddenly the piston is forced
downward creating an additional 200 kPa
of pressure on the gas and as a result the cylinder volume
decreases to one-half of its original volume.
(a) What is the final temperature of...

An ideal monatomic gas is contained within a cylinder by a
moveable piston. The gas is in thermal contact with a heat bath
initially at 310 K. What is the change in molar
entropy if the gas is heated to 600 K if:
A. The piston is blocked
B. The piston is allowed to move freely against atmospheric
pressure

One mole of ethylene at 1 bar and 25C is placed inside a
frictionless piston-cylinder device. The gas is then subjected to a
two-step process: (1) by keeping the piston fixed with a lacking
mechanism, 25KJ of heat is added via an electrical heater; and
(2)the locking mechanism is then released and 15KJ of heat is
removed. The second step of the process takes placed at constant
pressure. Assuming ethylene is an ideal gas, determine the
following:
(a) The temperature...

A quantity of air is contained in a cylinder provided
with a movable piston. Initially the
pressure of the air is 4 × 107 N/m2
, the volume is 1.5 m3
and the temperature is 400 K.
Assume air is an ideal gas. (a) What are the final volume and
temperature of the air if it is
allowed to expand isothermally from initial conditions until the
pressure is 3 × 107 N/m2
and
then is cooled at constant volume until...

Carbon dioxide (CO2) is compressed in a
piston–cylinder assembly from p1 = 0.7 bar,
T1 = 280 K to p2 = 14 bar.
The initial volume is 0.2 m3. The process is described
by pV1.25 = constant.
Assuming ideal gas behavior and neglecting kinetic and potential
energy effects, determine the work and heat transfer for the
process, each in kJ, using constant specific heats evaluated at 300
K, and data from Table A-23.

1 kg of water in a piston cylinder arrangement is initially in a
saturated liquid state at 1 bar. It undergoes expansion at constant
pressure due to external heat supply to it, to a final state of
saturated vapor.
(i) What is the initial temperature of water in C? (a) 93.50 (b)
96.71 (c) 99.63 (d) 111.4 (e) 12.2
(ii) What is the change in enthalpy of water (kJ/kg-K)? (a)
417.46 (b) 2258.0 (c) 2675.5 (d) 2506.1
(iii) What is...

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