THERMODYNAMICS - THEORY
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T-v Diagram
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Phase Change Process
Under Constant Pressure
The Process of Creating T-v Diagram
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The phase-change process of water under 1
atm described in the previous section can be repeated for different
pressures. Put all the processes in the T-v diagram. A line connected
by all the saturated liquid states is called saturated
liquid line. All the
saturated vapor states are connected to create the saturated vapor line.
When pressure becomes as high as Pcr (critical pressure),
the saturated liquid state and the saturated vapor state become a single
point in T-v diagram. This point is called
the critical point. For water, Pcr equals 22.09 MPa, Tcr (critical
temperature) equals
374.14 oC. At pressure above the critical pressure, there
will not be a distinct phase.
The saturated liquid line and saturated vapor line divide the region
on the T-v diagram into three regions: subcooled liquid region, saturated
liquid-vapor region and superheated vapor region. |
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The Construction of T-v Diagram |
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P-v Diagram
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Piston-cylinder Device for P-v Diagram
The Process of Create P-v Diagram
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The water vaporization process can also be described
in P-v diagram. The method of creation the P-v Diagram is much like the
method
for
the T-v diagram. By considering the piston-cylinder device again, the
temperature keeps constant by
heat
transfer. The pressure is changed by removing
the weight. Like the process in previous section, the water will become
saturated liquid,
saturated mixture, saturated vapor and superheated vapor if enough heat
added. The process is repeated under several different temperatures and
plot them in a P-v diagram. By connecting all the saturated
liquid
states
under
different
temperatures, one
can create
the saturated liquid line and connecting
all the saturated vapor states, one can create the saturated vapor line
on the P-v diagram. There are three regions on the P-v diagram: subcooled
liquid region, saturated liquid-vapor region, and superheated vapor region.
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The Construction of P-v Diagram |
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P-v Diagram Including Solid Phase
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The above diagram can
be extended to include solid phase as well as the solid-liquid and solid-vapor regions.
Under some conditions, all three phase can coexist in equilibrium. On
a P-v diagram, it forms the triple line and on a T-v diagram, it forms
only a point called the triple point. |
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The Construction of P-v Diagram of a Substance
that
Contracts (left) or Expends (right) on Freezing |
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P-T Diagram
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The P-T diagram is called the phase diagram
because three phases are separated from each other by three lines (sublimation,
melting, and vaporization). The three lines meet at the triple point where
three phases
coexist in equilibrium.
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The Construction of P-T Diagram |
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