- 2070 Magh · 4 marks
Saturation curve on P-v and T-v diagrams
Short answer
The saturation curve (vapor dome) on P-v and T-v diagrams is bounded by saturated liquid (x=0) and saturated vapor (x=1) lines meeting at the critical point. Inside is the two-phase wet mixture where isotherms (P-v) and isobars (T-v) are horizontal. Left: compressed liquid; right: superheated vapor.
Sketch the saturation curve on P-v and T-v diagram with all important points, lines and regions.
The saturation curve (vapour dome) is the boundary of the liquid-vapour two-phase region. It is formed by joining the saturated liquid states and the saturated vapour states for all pressures.
P-v diagram
P| CP (critical point)
| .-*-. T > Tc
| / \_______
| liquid / wet \____ T2 (isotherm)
| x=0 | mixture | x=1 superheated
| || |-----------|------ T1 (horizontal
| || | | in wet region)
+------------------------------- v
T-v diagram
T| CP
| .--*--. / P2
| / \ _.-'
| 2f /---------\ 2g ___.--''' / P1
| / \ _.-'
| 1f /-------------\ 1g ___.--'''
| / wet \
| / mixture \
| compressed superheated
| liquid vapour
+--------------------------------------------- v
x = 0 line x = 1 line
(P2 > P1; in the liquid region the isobars lie almost on the x = 0 line)
Important points, lines and regions
- Critical point (CP): top of the dome (water: 22.09 MPa, 374.1 °C).
- Saturated liquid line (x = 0): left boundary; saturated vapour line (x = 1): right boundary.
- Compressed (sub-cooled) liquid region: left of the x = 0 line.
- Wet (two-phase) region: inside the dome; isotherms on P-v and isobars on T-v are horizontal here.
- Superheated vapour region: right of the x = 1 line.
- On P-v, an isotherm falls steeply in the liquid region, runs horizontally across the dome, then falls more gently in the superheated region. On T-v, an isobar rises steeply in the liquid region, runs horizontally across the dome, then rises again in the superheated region. The critical isotherm (P-v) and critical isobar (T-v) each have a point of inflection at CP.
- The triple line (solid, liquid and vapour together) lies at the bottom of the full diagram.
✓ Answer checked by Claude Opus 5.5 (high effort)
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