Published on March 8, 2014
Use of Steam Tables • Saturated Vapor or Liquid – Liquid at Bubble-Point – Vapor at Dew-Point – Liquid and Vapor Co-existing • Superheated Vapor or Sub-Cooled Liquid – Vapor Above Dew-Point Temperature or Below DewPoint Pressure – Liquid Below Bubble-Point Temperature or Above Bubble-Point Pressure
Vaporize 1kg Water at 20 C and Bubble Point Pressure U Q W ˆ m U Q m Q P V ˆ Q mP V ˆ U ˆ P V
ˆ U ˆ P V Q m Q 1kg 2403.0 83.9 kJ kg 57.8 0.001002 m3 1 105 N 1kg 0.0234 bar kJ kg m 2bar 1, 000 N m Q 2454.3 kJ H U H U PV P V
Definitions • Degrees of Superheat – Difference between actual temperature and saturation temperature at the same pressure • Degrees of Sub-Cooling – Difference between actual temperature and the saturation temperature at the same pressure.
Water Vapor Heating 1 kg from 100 oC, 1 Bar to 200 oC, 1 Bar U Q W ˆ m U Q m Q P V ˆ Q mP V ˆ U ˆ P V ˆ m H
Water Vapor Heating 1 kg from 100 oC, 1 Bar to 200 oC, 1 Bar ˆ U ˆ P V ˆ m H Q m Q 1kg 2875 2676 kJ kg 199kJ
Constant Volume Water Vapor Heating 1 kg from 100 oC, 1 Bar to 200 oC, P=? V U ˆ m U 0 Q Q
Ideal Gas Law Estimation P2 T2 P 1 T1 473.15 1 bar 373.15 1.73 bar
Interpolation for Pressure 6 Pressure 5 4 3 2 1 0 0.3 0.5 0.7 0.9 1.1 1.3 1.5 Specific Volume 1.7 1.9 2.1 2.3
Interpolation for Internal Energy Internal Energy 2660 2655 2650 2645 2640 0.3 0.5 0.7 0.9 1.1 1.3 1.5 Specific Volume 1.7 1.9 2.1 2.3
Linear Interpolation y mx b y1 mx1 b y2 y1 m y2 m x2 y2 x1 y1 x2 mx2 b x1 b y1 mx1 y mx y y1 m x x1 y y1 y1 mx1 y2 y1 x2 x1 x x1
P P 1 P2 P 1 ˆ ˆ V2 V1 ˆ ˆ VDesired V1 5 1 P 1 1.69 2.17 0.425 2.17 ˆ ˆ U 2 U1 ˆ ˆ ˆ ˆ U U1 VDesired V1 ˆ ˆ V2 V1 2.1 bar ˆ U 2643 2658 2658 1.69 2.17 0.425 2.17 Q ˆ m U kJ 1 kg 2654 2507 kg kJ 2654 kg 147 kJ
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