Question

3. One mole of CO is initially contained on one-half of a well-insulated, rigid tank. Its temperature is 500K. The other half of the tank is initially at vacuum. A diaphragm separates the two compartments. Each compartment has a volume of 1L. Suddenly, the diaphragm ruptures. Use the van der Waals equation for any non-ideal behavior. Answer the following questions:

(a) What is Cv,m at the initial state?

(b) Do you expect the temperature to increase, decrease, or remain constant. Justify your answer.

(c) What is the temperature of the final state?

(d) What is the entropy change of the universe for this process?

Answer #1

A rigid, insulated vessel is divided into two compartments
connected by a valve. Initially, one compartment, occupying 1.0
ft3, contains air at 50 lbf/in2,
500oR, and the other, occupying 2.0 ft3, is
evacuated. The valve is opened and the air is allowed to fill both
volumes. Assume the air behaves as an ideal gas and that the final
state is in equilibrium.
Determine the final temperature of the air, in oR, and
the amount of entropy produced, in Btu/oR.

A rigid, insulated vessel is divided into two compartments
connected by a valve. Initially, one compartment, occupying 1.0
ft3, contains air at 50 lbf/in2, 725oR, and the other, occupying
2.0 ft3, is evacuated. The valve is opened and the air is allowed
to fill both volumes. Assume the air behaves as an ideal gas and
that the final state is in equilibrium. Determine the final
temperature of the air, in oR, and the amount of entropy produced,
in Btu/oR.
Determine...

Initially (state 1) a well-insulated rigid tank contains 20 kg
of a saturated liquid-vapor mixture of water at 100 kPa and half of
the mass is in the liquid phase. An electric resistance heater
placed in the tank is now turned on and kept on until all the
liquid in the tank is vaporized (state 2). Determine (a) the
initial specific volume in m3/kg, (b) the final specific
entropy in kJ/kg.K and (c) change of entropy in kJ/K.

Air is contained in a rigid, well-insulated container
of volume 3 m3. The air undergoes a process from
an initial state with a pressure of 200 kPa and temperature of 300
K. During the process, the air
receives 720 kJ of work from a paddle wheel. Model the air as an
ideal gas with constant specific
heats. Evaluate the specific heats at 300 K. Neglect changes in
kinetic energy and potential energy.
Determine the mass of the air in kg,...

An initially empty, well insulated, rigid tank with a volume of
2 m3 is fitted with a mixing device. The tank has two inlets and
zero outlets. One inlet is water at 1 MPa and 600◦C while the other
is saturated liquid water. Both enter the tank slowly. If the
amount of work done by the mixing device is 300 kJ, what must the
temperature of the saturated liquid water be if the same mass is
added through both inlets...

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