Physics 101: Lecture 25 Heat

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Physics 101 Lecture 25 Heat

• Todays lecture will cover Textbook Chapter
  14.1-14.5

• Discussion quiz Thermal expansion and sound
• Hour Exam
• Next Monday, Dec. 3, 7pm
• Lectures 17-23
• Sign up online
• Review, Dec 2, 8pm, 141 Loomis
• Conflicts Prof. Ben Wandelt, bwandelt_at_uiuc.edu
• Rooms different from last two exams. Check web
  page
• Extended office hours Dec 2,3

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Suggested Practice Problems for Exam III
Chapter 9 Examples 9.1, 9.2, 9.3, 9.7, 9.9,
9.11 Problems 9.5, 9.9, 9.11, 9.13, 9.15, 9.17,
9.23, 9.29, 9.35, 9.39, 9.41, 9.49, 9.51, 9.73,
9.75, 9.88, 9.89, 9.93, 9.97 Chapter
10 Examples 10.6, 10.7, 10.8, 10.9 Problems
10.27, 10.29, 10.35, 10.43, 10.45, 10.49, 10.53,
10.57, 10.59, 10.63, 10.71, 10.75, 10.81, 10.87,
10.97 Chapter 11 Examples 11.1, 11.3, 11.7,
11.8 Problems 11.3, 11.9, 11.11, 11.13, 11.19,
11.21, 11.23, 11.25, 11.29, 11.31, 11.47, 11.51,
11.53, 11.57, 11.67, 11.69, 11.75, 11.77,
11.79 Chapter 12 Examples 12.1, 12.2, 12.3,
12.5, 12.6, 12.7, 12.8, 12.9 Problems 12.1,
12.3, 12.9, 12.11, 12.15, 12.19, 12.21, 12.23,
12.25, 12.29, 12.31, 12.33, 12.35, 12.37, 12.41,
12.57, 12.59, 12.65
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Internal Energy

• Energy of all molecules including
• Random motion of individual molecules
• ltKtrgt 3/2 kBT for ideal gas
• Vibrational energy of molecules and atoms
• Chemical energy in bonds and interactions
• DOES NOT INCLUDE
• Macroscopic motion of object
• Potential energy due to interactions w/ other
  objects

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Heat

• Definition Flow of energy between two objects
  due to difference in temperature
• Note similar to WORK
• Object does not have heat (it has energy)
• Symbol Q
• Units calorie
• Amount of energy needed to raise 1g of water 1ºC
• 1 calorie 4.186 Joules 10-3 Calories

cork popper demo
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Specific Heat

• Heat adds energy to object/system
• IF system does NO work then
• Heat increases internal energy. Q DU
• Heat increases temperature!
• Q c m DT
• Specific heat c, units J/kgC
• Heat required to increase Temp depends on amount
  of material (m) and type of material (c)
• ?T Q/cm

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Act

• After a grueling work out, you drink a liter
  (1kg) of cold water (0 C). How many Calories does
  it take for your body to raise the water up to
  body temperature of 36 C? (Specific Heat of water
  is 1 calorie/gram C)
• 1) 36 2) 360 3) 3,600 4) 36,000

1 liter 1,000 grams of H20 1000 g x 1
calorie/(gram degree) x (36 degree) 36,000
calories 36,000 calories 36 Calories!
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Preflight 1 2

• Suppose you have two insulated buckets containing
  the same amount of water at room temperature. You
  also happen to have two blocks of metal of the
  same mass, both at the same temperature, warmer
  than the water in the buckets. One block is made
  of aluminum and one is made of copper. You put
  the aluminum block into one bucket of water, and
  the copper block into the other. After waiting a
  while you measure the temperature of the water in
  both buckets. Which is warmer?
• 1. The water in the bucket containing the
  aluminum block
• 2. The water in the bucket containing the copper
  block
• 3. The water in both buckets will be at the same
  temperature

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Aluminum has a higher specific heat, so it
contains more energy than the copper block. So
the bucket with the aluminum block will have more
energy transferred than the bucket containing the
copper block. Also, I got a cat over break. His
name is Andre...
specific heat demo
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Specific Heat ACT
Suppose you have equal masses of aluminum and
copper at the same initial temperature. You add
1000 J of heat to each of them. Which one ends
up at the higher final temperature A)
aluminum B) copper C) the same
?T Q/cm
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Specific Heat for Ideal Gas

• Monatomic Gas (single atom)
• All energy is translational Kinetic
• At constant Volume work 0
• Q DKtr 3/2 NkBDT
• CV 3/2 R 12.5 J/(K mole)
• Diatomic Gas (two atoms)
• Can also rotate
• CV 5/2 R 20.8 J/(K mole)

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Latent Heat L

• As you add heat to water, the temperature
  increases for a while, then it remains constant,
  despite the additional heat!
• Latent Heat L J/kg is heat which must be added
  (or removed) for material to change phase
  (liquid-gas).

evaporation demo
melting demo
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Ice Act

• Which will do a better job cooling your soda, a
  cooler filled with water at 0C, or a cooler
  filled with ice at 0 C.
• A) Water B) About Same C) Ice

Latent Heat L J/kg is heat which must be
added (or removed) for material to change phase
(liquid-gas).
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Cooling Act

• During a tough work out, your body sweats (and
  evaporates) 1 liter of water to keep cool (37 C).
  How much water would you need to drink (at 2C) to
  achieve the same thermal cooling? (recall CV
  4.2 J/g for water, Lv2.2x103 J/g)
• A) 0.15 liters B) 1.0 liters C) 15 liters
  D) 150 liters

Qevaporative L m 2.2x106 J Qc C M Dt 4.2
x 35 x M M 2.2x106 / 147 15,000 g or 15
liters!
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Preflight 3

• Summers in Phoenix Arizona are very hot (125 F is
  not uncommon), and very dry. If you hop into an
  outdoor swimming pool on a summer day in Phoenix,
  you will probably find that the water is too warm
  to be very refreshing. However, when you get out
  of the pool and let the sun dry you off, you find
  that you are quite cold for a few minutes
  (yes...you will have goose-bumps on a day when
  the air temperature is over 120 degrees).
• How can you explain this?

Water evaporates taking the latent heat of the
surface of your body resulting in cooling.
Latent heat is required for the water to
evaporate. It is the loss of this heat that makes
you feel cold.
As the water evaporates, latent heat is lost. As
the heat is lost, you feel colder.
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Phase Diagrams
CO2 sublimation demo
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Cooling ACT

• What happens to the pressure in the beaker when
  placed in ice-water
• 1) Increases 2) Decreases 3) Same

PV NkBT
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Cooling ACT continued

• What will happen to the water in the container
  when I pour ice water over the container
• 1) cool down 2) Boil 3) Both 4) Neither

cold water over hot beaker demo
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Example

• How much ice (at 0 C) do you need to add to 0.5
  liters of water at 25 C, to cool it down to 10 C?
• (L 80 cal/g, c 1 cal/g C)

Key ideas 1) Q leaving water goes into heating
ice. 2) Final temps are same
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Summary

• Heat is FLOW of energy
• Flow of energy may increase temperature
• Specific Heat
• Dt Q / (c m)
• Monatomic IDEAL Gas CV 3/2 R
• Diatomic IDEAL Gas CV 5/2 R
• Latent Heat
• heat associated with change in phase