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Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
is the ratio of the mass of vapor to
the total mass of the mixture
Between 0 and1.
𝑣=𝑣𝑓+π‘₯(π‘£π‘”βˆ’π‘£π‘“)=𝑣𝑓+π‘₯𝑣𝑓𝑔
β„Ž=β„Žπ‘“+π‘₯(β„Žπ‘”βˆ’β„Žπ‘“)=β„Žπ‘“+π‘₯β„Žπ‘“π‘”
𝑒=𝑒𝑓+π‘₯(π‘’π‘”βˆ’π‘’π‘“)=𝑒𝑓+π‘₯𝑒𝑓𝑔
𝑠=𝑠𝑓+π‘₯𝑠(π‘”βˆ’π‘ π‘“)=𝑠𝑓+π‘₯𝑠𝑓𝑔
π‘₯=
(π‘£βˆ’π‘£π‘“)
(π‘£π‘”βˆ’π‘£π‘“)
=
(π‘£βˆ’π‘£π‘“)
𝑣𝑓𝑔
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
𝑇𝑔𝑖𝑣𝑒𝑛>π‘‡π‘ π‘Žπ‘‘@𝑃𝑔𝑖𝑣𝑒𝑛 or 𝑃𝑔𝑖𝑣𝑒𝑛<π‘ƒπ‘ π‘Žπ‘‘@𝑇𝑔𝑖𝑣𝑒𝑛 Superheated Steam
Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
An80-Lvessel contains 4 kg of water at a pressure of 175kPa.
Determine
(a)The saturation temperature,(b)the quality,(c)the enthalpy of the water,
and(d)the volume occupied by the vapor phase.
Solution
At 175kPa
βΈͺ𝒗𝒇=𝟎.πŸŽπŸŽπŸπŸŽπŸ“πŸ• π’ŽπŸ‘/π’Œπ’ˆ , π’—π’ˆ=𝟏.πŸŽπŸŽπŸ‘πŸ” π’ŽπŸ‘/π’Œπ’ˆ
𝒗=𝑽/π’Ž=𝟎.πŸŽπŸ–/πŸ’=𝟎.𝟎𝟐 π’Ž3πŸ‘
water is in the saturated mixture region.
π‘‡π‘ π‘Žπ‘‘@0.175π‘€π‘ƒπ‘Ž=116.06℃ a
π‘₯=
(π‘£βˆ’π‘£π‘“)
(π‘£π‘”βˆ’π‘£π‘“)
=
(π‘£βˆ’π‘£π‘“)
𝑣𝑓𝑔 =
0.02βˆ’0.001057
1.0036βˆ’0.001057
=0.0189 b
GET
hf=486.97kJ/kg , hfg=2213.6kJ/kg.
β„Ž=β„Žπ‘“+π‘₯(β„Žπ‘”βˆ’β„Žπ‘“)=β„Žπ‘“+π‘₯β„Žπ‘“π‘”=486.97+0.0189Γ—2213.6=528.8π‘˜π½/π‘˜π‘” C
𝑉𝑔=π‘šπ‘”*𝑣𝑔 π‘šπ‘”=π‘₯*π‘šπ‘‘=0.0189Γ—4=0.0756π‘˜π‘”
𝑉𝑔=0.0756Γ—1.0036=0.07587π‘š3 D

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  • 1. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
  • 2. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
  • 3. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
  • 4. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com is the ratio of the mass of vapor to the total mass of the mixture Between 0 and1. 𝑣=𝑣𝑓+π‘₯(π‘£π‘”βˆ’π‘£π‘“)=𝑣𝑓+π‘₯𝑣𝑓𝑔 β„Ž=β„Žπ‘“+π‘₯(β„Žπ‘”βˆ’β„Žπ‘“)=β„Žπ‘“+π‘₯β„Žπ‘“π‘” 𝑒=𝑒𝑓+π‘₯(π‘’π‘”βˆ’π‘’π‘“)=𝑒𝑓+π‘₯𝑒𝑓𝑔 𝑠=𝑠𝑓+π‘₯𝑠(π‘”βˆ’π‘ π‘“)=𝑠𝑓+π‘₯𝑠𝑓𝑔 π‘₯= (π‘£βˆ’π‘£π‘“) (π‘£π‘”βˆ’π‘£π‘“) = (π‘£βˆ’π‘£π‘“) 𝑣𝑓𝑔
  • 5. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
  • 6. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
  • 7. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
  • 8. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
  • 9. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
  • 10. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
  • 11. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
  • 12. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
  • 13. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com
  • 14. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com 𝑇𝑔𝑖𝑣𝑒𝑛>π‘‡π‘ π‘Žπ‘‘@𝑃𝑔𝑖𝑣𝑒𝑛 or 𝑃𝑔𝑖𝑣𝑒𝑛<π‘ƒπ‘ π‘Žπ‘‘@𝑇𝑔𝑖𝑣𝑒𝑛 Superheated Steam
  • 15. Ahmed Medhat - Thermodynamics 1 - ahmedhatfa@hotmail.com An80-Lvessel contains 4 kg of water at a pressure of 175kPa. Determine (a)The saturation temperature,(b)the quality,(c)the enthalpy of the water, and(d)the volume occupied by the vapor phase. Solution At 175kPa βΈͺ𝒗𝒇=𝟎.πŸŽπŸŽπŸπŸŽπŸ“πŸ• π’ŽπŸ‘/π’Œπ’ˆ , π’—π’ˆ=𝟏.πŸŽπŸŽπŸ‘πŸ” π’ŽπŸ‘/π’Œπ’ˆ 𝒗=𝑽/π’Ž=𝟎.πŸŽπŸ–/πŸ’=𝟎.𝟎𝟐 π’Ž3πŸ‘ water is in the saturated mixture region. π‘‡π‘ π‘Žπ‘‘@0.175π‘€π‘ƒπ‘Ž=116.06℃ a π‘₯= (π‘£βˆ’π‘£π‘“) (π‘£π‘”βˆ’π‘£π‘“) = (π‘£βˆ’π‘£π‘“) 𝑣𝑓𝑔 = 0.02βˆ’0.001057 1.0036βˆ’0.001057 =0.0189 b GET hf=486.97kJ/kg , hfg=2213.6kJ/kg. β„Ž=β„Žπ‘“+π‘₯(β„Žπ‘”βˆ’β„Žπ‘“)=β„Žπ‘“+π‘₯β„Žπ‘“π‘”=486.97+0.0189Γ—2213.6=528.8π‘˜π½/π‘˜π‘” C 𝑉𝑔=π‘šπ‘”*𝑣𝑔 π‘šπ‘”=π‘₯*π‘šπ‘‘=0.0189Γ—4=0.0756π‘˜π‘” 𝑉𝑔=0.0756Γ—1.0036=0.07587π‘š3 D