latent heat physics montwood high school r. casao

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Latent Heat Physics Montwood High School R. Casao

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Page 1: Latent Heat Physics Montwood High School R. Casao

Latent Heat

Physics

Montwood High School

R. Casao

Page 2: Latent Heat Physics Montwood High School R. Casao

Change of StateMatter exists in 3 states:

•Solid

•Liquid

•Gas

water steam

fusion (at melting point)

vaporization (takes place at boiling point)

solidification condensation

Consider water:

at freezing point at boiling point

ice

Page 3: Latent Heat Physics Montwood High School R. Casao

Heats of Transformation

When energy is absorbed as heat by a solid or liquid, the temperature of the object does not necessarily rise.

The thermal energy may cause the mass to change from one phase, or state, to another.

The amount of energy per unit mass that must be transferred as heat when a mass undergoes a phase change is called the heat of transformation, L.

Page 4: Latent Heat Physics Montwood High School R. Casao

Heat of Fusion To melt a solid means to change its

from the solid state to the liquid state. This process requires energy because the molecules of the solid must be freed from their rigid structure.

To freeze a liquid to form a solid is the reverse of melting and requires that energy be removed from the liquid so that the molecules can settle into a rigid structure.

Page 5: Latent Heat Physics Montwood High School R. Casao

Heat of Fusion When the phase change is from

solid to liquid, the sample must absorb heat; when the phase change is from a liquid to solid, the sample must release heat.

The heat of transformation for these phase changes is called the heat of fusion, Lf.

Water: Lf = 334 J/g = 79.5 cal/g

fLmQ

Page 6: Latent Heat Physics Montwood High School R. Casao

Heat of Vaporization To vaporize a liquid means to change it from the

liquid state to the vapor or gas state. This process requires energy because the molecules must be freed from the liquid state.

Condensing a gas to a liquid is the reverse of vaporizing; it requires that energy be removed from the gas so that the molecules can cluster together instead of flying away from each other.

The heat of transformation for these phase changes is called the heat of vaporization, Lv.

Water: Lv = 2256 J/g = 539 cal/g

vLmQ

Page 7: Latent Heat Physics Montwood High School R. Casao

Phase Changes

Page 8: Latent Heat Physics Montwood High School R. Casao

Copyright 1999, PRENTICE HALL

Chapter 118

Gas-Liquid Equilibration

Page 9: Latent Heat Physics Montwood High School R. Casao
Page 10: Latent Heat Physics Montwood High School R. Casao

Copyright 1999, PRENTICE HALL

Chapter 1110

Phase ChangesPhase Changes

Energy Changes Accompanying Phase Energy Changes Accompanying Phase ChangesChanges

Page 11: Latent Heat Physics Montwood High School R. Casao
Page 12: Latent Heat Physics Montwood High School R. Casao

Copyright 1999, PRENTICE HALL

Chapter 1112

Phase ChangesPhase Changes

Heating CurvesHeating Curves

Page 13: Latent Heat Physics Montwood High School R. Casao

Copyright 1999, PRENTICE HALL

Chapter 1113

Heating Curve Illustrated

Page 14: Latent Heat Physics Montwood High School R. Casao
Page 15: Latent Heat Physics Montwood High School R. Casao
Page 16: Latent Heat Physics Montwood High School R. Casao

Phase Change Diagram - Water

Page 17: Latent Heat Physics Montwood High School R. Casao

vaporization

energy in

2260 kJ

fusion

energy in

334 kJ

condensation

energy out

2260 kJ

solidification

energy

out 334 kJ

steam(1 kg)

water(1 kg)

ice(1 kg)

Summary: Change of State

Page 18: Latent Heat Physics Montwood High School R. Casao

Energy involved in heating 1 kg of water

icesteam(ice and water) melting

(334) (420)water

boiling

(water and stream)(2260) energy /

kJ

Summary: from ice to steam

0

100

Page 19: Latent Heat Physics Montwood High School R. Casao

Heat of Combustion (HC)

The amount of heat released per unit mass or unit volume of a substance when the substance is completely burned.

Heats of combustion are used as a basis for comparing the heating value of fuels, since the fuel that produces the greater amount of heat for a given cost is the more economic.

Equation:

CHmQ

Page 20: Latent Heat Physics Montwood High School R. Casao

Phase Change Example Heat is added to 0.5 kg of water at 20° C.

How many joules of heat energy are required to change the water to steam at 110° C?

Heat has to be added to the water to raise its temperature from 20° C to the boiling point 100° C.

Heat has to be added to vaporize all of the water that is at 100° C.

JQ

CCCkg

JkgTcmQ oo

o

167440

2010041865.0

Page 21: Latent Heat Physics Montwood High School R. Casao

Phase Change Example

Heat has to be added to raise the temperature of all of the steam from 100° C to 110° C.

Total heat energy: Q = 167440 J + 1130000 J + 10050 J = 1307490 J

J1130000Q

kgJ

2260000kg5.0LvmQ

J10050Q

C100C110Ckg

J2010kg5.0TcmQ oo

o

Page 22: Latent Heat Physics Montwood High School R. Casao

Final Temperature Example A 0.3 kg piece of ice at 0° C is placed in 1 kg of

water at 40° C in an insulated container. If no heat is lost to the container, what is the final temperature of the water?

Q lost water = Q gained ice + Q gained ice water (m·c·T)water = m·Lf + (m·c·T)ice water

FFo

oFo

Fo

o

TkgJ

1255.8J100200TCJ

4186J167440

C0TCkg

J4186kg0.3

kgJ

334000kg0.3TC40Ckg

J4186kg1

Page 23: Latent Heat Physics Montwood High School R. Casao

Final Temperature Example

C.

CJ

5441.8

JT

TCJ

5441.8J

TCJ

4186TCJ

1255.8J100200J167440

o

o

F

Fo

FoFo

4251267240

67240