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PURE SUBSTANCES
Prepared by – Manmeet Singh
Assistant Professor
Prepared By Manmeet Singh, Assistant
Professor
PV diagram for pure substances
• Heating of water from -10 degree Celsius to
100 degree Celsius boiling and above
• 1-2 – heating at constant pressure from -10 to
0 degree Celsius. Volume ice increases.
Temperature also increases.
• 2-3 – melting of ice. Volume decreases from 2
to 3 which is peculiarity of water. Temperature
and pressure remains constant.
• 3-4- Water is heated from 0 to 100 degree
Celsius. Volume of water increases. Pressure
constant at 1 atm.
• 4-5- Boiling of water at 1 atm pressure and
constant temperature of 100 degree Celsius.
Volume increases from 4 to 5 . Saturated liquid
converts to saturated vapor.
• 5-6- Superheating at constant pressure.
Volume increases from 5 to 6. Temperature
increases from 100 to some other temperature
say 250 degree Celsius.
Prepared By Manmeet Singh, Assistant
Professor
PV diagram for pure substances
•Water existed in
•Solid phase between 1 and 2.
•In liquid phase between 3 and 4
•In vapor phase between 5 and 6
or above
•Between 2 and 3 – Latent heat of
fusion (Solid to liquid)
•Between 4 and 5- Latent heat of
vaporization (liquid to vapor)
•Both phase change at constant
temperature and constant
pressure.
•State 2,3,4 and 5 are known as
saturation states-
•Saturation state is a state from
which change of phase may
occur without change of
temperature and pressure.
State 2 is saturated solid state.
State 3 and 4 are saturated liquid. State 3
liquid is saturated wrt to solidification and
state 4 liquid is saturated wrt to
vaporization
State 5 – saturated vapor
Prepared By Manmeet Singh, Assistant
Professor
PV diagram for pure substances
• If heating of ice from -10 degree
celsius to 250 degree celsius or
above is done at different constant
pressure, similar saturation states
are obtained with different
temperature ,volume and other
different properties.
• And all these can be plotted on P-V
coordinates, when heated at
different constant pressure.
• All saturation solid states (i.e 2) are
joined by a line- Saturation solid
line
• All saturated liquid states (i.e. 3 and
4) are joined – Saturated liquid
lines
• The line passing through saturated
vapor states – Saturated vapor line
Prepared By Manmeet Singh, Assistant
Professor
PV diagram for pure substances
Prepared By Manmeet Singh, Assistant
Professor
PV diagram for pure substances
• Triple point – all
three phases exists in
equilibrium.
• Below triple point
pressure , the
substance cannot
exist in the liquid
phase, and substance
when heated
transform into solid
to vapor – called
Sublimation
Prepared By Manmeet Singh, Assistant
Professor
Triple point
• Sublimation
• Dry ice, sometimes referred to as
"cardiceis the solid form of carbon
dioxide.
• It is used primarily as a cooling
agent. Its advantages include lower
temperature than that of water ice
and not leaving any residue (other
than incidental frost from moisture
in the atmosphere). It is useful for
preserving frozen foods
where mechanical cooling is
unavailable.
• Dry ice sublimates at −78.5 °C
(−109.3 °F) at Earth atmospheric
pressures. This extreme cold makes
the solid dangerous to handle
without protection due to burns
caused by freezing (frostbite).
Prepared By Manmeet Singh, Assistant
Professor
PV diagram for pure substances
• As working fluid in power
cycles is generally liquid –
vapor ,so solid region is
omitted.
• And P-V diagram become
as shown.
Prepared By Manmeet Singh, Assistant
Professor
PV diagram for pure substances
• State A –vapor is compressed
slowly and isothermally.
Pressure rise until the vapor
become saturated.
• If compression continued temp.
and pressure remaining
constant, condensation takes
place between B and C. Btw B
and C liuid and vapor are in
equilibrium.
• After C since a large pressure is
required to compress liquid, CD
is almost vertical with very less
change in volume.
• ABCD is typical isotherm of a
pure substance on PV diagram.
Prepared By Manmeet Singh, Assistant
Professor
PV diagram for pure substances
• As temperature
increases, transition
zone decreases (BC)
and becomes zero at
critical point.
• Above critical point
liquid suddenly
flashes into vapor or
vapor on cooling
suddenly condenses
into liquid.
Prepared By Manmeet Singh, Assistant
Professor
Vaporization
• Evaporation
• In evaporation, molecules on the surface of a liquid which
have enough kinetic energy to overcome intermolecular
forces between water molecules escape the surface of the
liquid to become gaseous. Some of these molecules may
eventually rejoin water molecules on the liquid surface and
become a part of the liquid again (condensation).
Eventually, the condensation rate would be equal to the
evaporation rate, and a constant vapor pressure is
established. In this situation, the air above the liquid surface
is saturated with molecules that have been evaporated.
• Evaporation is responsible for drying clothes and
transpiration in plants. Water never comes to a “boil” in
these cases but rather evaporate away.
• Boiling
• This is vaporization that happens when the liquid is at
its boiling temperature. Boiling occurs when the vapor
pressure is equal to the external pressure. In this condition,
liquid molecules below the surface which have enough
kinetic energy to overcome intermolecular forces can join
up to form bubbles, which can then rise through the liquid.
Prepared By Manmeet Singh, Assistant
Professor
Phase change
• Phase change occur at constant temperature and pressure
called saturation temperature and saturation pressure.
Prepared By Manmeet Singh, Assistant
Professor
P-T diagram for pure substance
• Upon slow heating at different
constant pressure as shown on P-
V plane. If these were plotted on
P-T coordinates , the diagram as
shown here is obtained.
• At 1 atm heating of ice from -10
to 250 degree Celsius
• 1-2 –solid ice heating from -10 to
0 degree Celsius
• 2-3- melting of ice at 0 degree
Celsius.
• 3-4- liquid heating (0 to 100)
• 4-5- vaporization of water at 100
degree Celsius.
• 5-6 – heating in vapor phase.Prepared By Manmeet Singh, Assistant
Professor
P-T diagram for pure substance
• Curve passing through 2,3 points is
called – Fusion Curve
• Curve passing through 4,5 points is
called – Vaporization Curve
• If the vapor pressure of a solid is
measured at different
temperatures and these are
plotted, the Sublimation curve will
be obtained.
• All three above curve meet at
triple point
• For water 4.58 mm Hg and 273.16
K Prepared By Manmeet Singh, Assistant
Professor
• For substances like water which expand on freezing
,slope of fusion curve is negative.
P-T diagram for pure substance
Prepared By Manmeet Singh, Assistant
Professor
P-V-T Surface
Prepared By Manmeet Singh, Assistant
Professor
P-V-T Surface
Prepared By Manmeet Singh, Assistant
Professor
Temperature –
Entropy plot
Prepared By Manmeet Singh, Assistant
Professor
h-s or Mollier diagram
Consider heating of ice from -5 degree
Celsius to 250 degree Celsius
Similarly, isobars at different
pressure are drawn on h-s
diagram
Constant
temperature heating
them slope is
constant
Prepared By Manmeet Singh, Assistant
Professor
H-s or Mollier diagram
Prepared By Manmeet Singh, Assistant
Professor
Quality or dryness fraction
Prepared By Manmeet Singh, Assistant
Professor
Quality or dryness fraction
Prepared By Manmeet Singh, Assistant
Professor
Constant property lines T-s diagram
Prepared By Manmeet Singh, Assistant
Professor
Constant property lines h-s diagram
Prepared By Manmeet Singh, Assistant
Professor
Prepared By Manmeet Singh, Assistant
Professor
Steam tables
Prepared By Manmeet Singh, Assistant
Professor
Steam tables
Prepared By Manmeet Singh, Assistant
Professor
Steam tables
Prepared By Manmeet Singh, Assistant
Professor
Steam tables
Prepared By Manmeet Singh, Assistant
Professor
Steam tables
Prepared By Manmeet Singh, Assistant
Professor
Steam tables
Prepared By Manmeet Singh, Assistant
Professor
Steam tables
Prepared By Manmeet Singh, Assistant
Professor
Practice questions steam table
Prepared By Manmeet Singh, Assistant
Professor
Practice questions steam table
Prepared By Manmeet Singh, Assistant
Professor
Practice questions steam table
Prepared By Manmeet Singh, Assistant
Professor
Questions 2
Prepared By Manmeet Singh, Assistant
Professor
Question no 3
Prepared By Manmeet Singh, Assistant
Professor
Question no. 4
Prepared By Manmeet Singh, Assistant
Professor
39
Exercises

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Pure substances

  • 1. PURE SUBSTANCES Prepared by – Manmeet Singh Assistant Professor Prepared By Manmeet Singh, Assistant Professor
  • 2. PV diagram for pure substances • Heating of water from -10 degree Celsius to 100 degree Celsius boiling and above • 1-2 – heating at constant pressure from -10 to 0 degree Celsius. Volume ice increases. Temperature also increases. • 2-3 – melting of ice. Volume decreases from 2 to 3 which is peculiarity of water. Temperature and pressure remains constant. • 3-4- Water is heated from 0 to 100 degree Celsius. Volume of water increases. Pressure constant at 1 atm. • 4-5- Boiling of water at 1 atm pressure and constant temperature of 100 degree Celsius. Volume increases from 4 to 5 . Saturated liquid converts to saturated vapor. • 5-6- Superheating at constant pressure. Volume increases from 5 to 6. Temperature increases from 100 to some other temperature say 250 degree Celsius. Prepared By Manmeet Singh, Assistant Professor
  • 3. PV diagram for pure substances •Water existed in •Solid phase between 1 and 2. •In liquid phase between 3 and 4 •In vapor phase between 5 and 6 or above •Between 2 and 3 – Latent heat of fusion (Solid to liquid) •Between 4 and 5- Latent heat of vaporization (liquid to vapor) •Both phase change at constant temperature and constant pressure. •State 2,3,4 and 5 are known as saturation states- •Saturation state is a state from which change of phase may occur without change of temperature and pressure. State 2 is saturated solid state. State 3 and 4 are saturated liquid. State 3 liquid is saturated wrt to solidification and state 4 liquid is saturated wrt to vaporization State 5 – saturated vapor Prepared By Manmeet Singh, Assistant Professor
  • 4. PV diagram for pure substances • If heating of ice from -10 degree celsius to 250 degree celsius or above is done at different constant pressure, similar saturation states are obtained with different temperature ,volume and other different properties. • And all these can be plotted on P-V coordinates, when heated at different constant pressure. • All saturation solid states (i.e 2) are joined by a line- Saturation solid line • All saturated liquid states (i.e. 3 and 4) are joined – Saturated liquid lines • The line passing through saturated vapor states – Saturated vapor line Prepared By Manmeet Singh, Assistant Professor
  • 5. PV diagram for pure substances Prepared By Manmeet Singh, Assistant Professor
  • 6. PV diagram for pure substances • Triple point – all three phases exists in equilibrium. • Below triple point pressure , the substance cannot exist in the liquid phase, and substance when heated transform into solid to vapor – called Sublimation Prepared By Manmeet Singh, Assistant Professor
  • 7. Triple point • Sublimation • Dry ice, sometimes referred to as "cardiceis the solid form of carbon dioxide. • It is used primarily as a cooling agent. Its advantages include lower temperature than that of water ice and not leaving any residue (other than incidental frost from moisture in the atmosphere). It is useful for preserving frozen foods where mechanical cooling is unavailable. • Dry ice sublimates at −78.5 °C (−109.3 °F) at Earth atmospheric pressures. This extreme cold makes the solid dangerous to handle without protection due to burns caused by freezing (frostbite). Prepared By Manmeet Singh, Assistant Professor
  • 8. PV diagram for pure substances • As working fluid in power cycles is generally liquid – vapor ,so solid region is omitted. • And P-V diagram become as shown. Prepared By Manmeet Singh, Assistant Professor
  • 9. PV diagram for pure substances • State A –vapor is compressed slowly and isothermally. Pressure rise until the vapor become saturated. • If compression continued temp. and pressure remaining constant, condensation takes place between B and C. Btw B and C liuid and vapor are in equilibrium. • After C since a large pressure is required to compress liquid, CD is almost vertical with very less change in volume. • ABCD is typical isotherm of a pure substance on PV diagram. Prepared By Manmeet Singh, Assistant Professor
  • 10. PV diagram for pure substances • As temperature increases, transition zone decreases (BC) and becomes zero at critical point. • Above critical point liquid suddenly flashes into vapor or vapor on cooling suddenly condenses into liquid. Prepared By Manmeet Singh, Assistant Professor
  • 11. Vaporization • Evaporation • In evaporation, molecules on the surface of a liquid which have enough kinetic energy to overcome intermolecular forces between water molecules escape the surface of the liquid to become gaseous. Some of these molecules may eventually rejoin water molecules on the liquid surface and become a part of the liquid again (condensation). Eventually, the condensation rate would be equal to the evaporation rate, and a constant vapor pressure is established. In this situation, the air above the liquid surface is saturated with molecules that have been evaporated. • Evaporation is responsible for drying clothes and transpiration in plants. Water never comes to a “boil” in these cases but rather evaporate away. • Boiling • This is vaporization that happens when the liquid is at its boiling temperature. Boiling occurs when the vapor pressure is equal to the external pressure. In this condition, liquid molecules below the surface which have enough kinetic energy to overcome intermolecular forces can join up to form bubbles, which can then rise through the liquid. Prepared By Manmeet Singh, Assistant Professor
  • 12. Phase change • Phase change occur at constant temperature and pressure called saturation temperature and saturation pressure. Prepared By Manmeet Singh, Assistant Professor
  • 13. P-T diagram for pure substance • Upon slow heating at different constant pressure as shown on P- V plane. If these were plotted on P-T coordinates , the diagram as shown here is obtained. • At 1 atm heating of ice from -10 to 250 degree Celsius • 1-2 –solid ice heating from -10 to 0 degree Celsius • 2-3- melting of ice at 0 degree Celsius. • 3-4- liquid heating (0 to 100) • 4-5- vaporization of water at 100 degree Celsius. • 5-6 – heating in vapor phase.Prepared By Manmeet Singh, Assistant Professor
  • 14. P-T diagram for pure substance • Curve passing through 2,3 points is called – Fusion Curve • Curve passing through 4,5 points is called – Vaporization Curve • If the vapor pressure of a solid is measured at different temperatures and these are plotted, the Sublimation curve will be obtained. • All three above curve meet at triple point • For water 4.58 mm Hg and 273.16 K Prepared By Manmeet Singh, Assistant Professor
  • 15. • For substances like water which expand on freezing ,slope of fusion curve is negative. P-T diagram for pure substance Prepared By Manmeet Singh, Assistant Professor
  • 16. P-V-T Surface Prepared By Manmeet Singh, Assistant Professor
  • 17. P-V-T Surface Prepared By Manmeet Singh, Assistant Professor
  • 18. Temperature – Entropy plot Prepared By Manmeet Singh, Assistant Professor
  • 19. h-s or Mollier diagram Consider heating of ice from -5 degree Celsius to 250 degree Celsius Similarly, isobars at different pressure are drawn on h-s diagram Constant temperature heating them slope is constant Prepared By Manmeet Singh, Assistant Professor
  • 20. H-s or Mollier diagram Prepared By Manmeet Singh, Assistant Professor
  • 21. Quality or dryness fraction Prepared By Manmeet Singh, Assistant Professor
  • 22. Quality or dryness fraction Prepared By Manmeet Singh, Assistant Professor
  • 23. Constant property lines T-s diagram Prepared By Manmeet Singh, Assistant Professor
  • 24. Constant property lines h-s diagram Prepared By Manmeet Singh, Assistant Professor
  • 25. Prepared By Manmeet Singh, Assistant Professor
  • 26. Steam tables Prepared By Manmeet Singh, Assistant Professor
  • 27. Steam tables Prepared By Manmeet Singh, Assistant Professor
  • 28. Steam tables Prepared By Manmeet Singh, Assistant Professor
  • 29. Steam tables Prepared By Manmeet Singh, Assistant Professor
  • 30. Steam tables Prepared By Manmeet Singh, Assistant Professor
  • 31. Steam tables Prepared By Manmeet Singh, Assistant Professor
  • 32. Steam tables Prepared By Manmeet Singh, Assistant Professor
  • 33. Practice questions steam table Prepared By Manmeet Singh, Assistant Professor
  • 34. Practice questions steam table Prepared By Manmeet Singh, Assistant Professor
  • 35. Practice questions steam table Prepared By Manmeet Singh, Assistant Professor
  • 36. Questions 2 Prepared By Manmeet Singh, Assistant Professor
  • 37. Question no 3 Prepared By Manmeet Singh, Assistant Professor
  • 38. Question no. 4 Prepared By Manmeet Singh, Assistant Professor