announcements 9/12/11
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Announcements 9/12/11. Prayer I’ve got extra copies of the class directory On Wednesday I will go back and regrade all of the old clicker quizzes. As long as your clicker is registered by then, all of your quizzes will count. Unregistered clickers:. 1151FBBB 11A3D26 13C413C4 1416FEFC - PowerPoint PPT PresentationTRANSCRIPT
Announcements 9/12/11 Prayer I’ve got extra copies of the class directory On Wednesday I will go back and regrade all of
the old clicker quizzes. As long as your clicker is registered by then, all of your quizzes will count.
Unregistered clickers:
Make sure your clicker number is not on this list!
(If it is, register it on the class website ASAP!)
190E8D9A1A3B1E3F1AEE0CF81B4955071DAE9D2E26395C43D68FB9E
1151FBBB11A3D2613C413C41416FEFC147107621473197E160B0B1616B89D33
Characterizing velocities Recall bouncing balls in jar. Focus on one
type of molecule. Lots of questions, such as :
a. What’s the average velocity? b. What’s the most popular velocity?c. What’s the velocity that corresponds to
the average kinetic energy?d. How many molecules have velocities
within a given range?How to answer: use statistical distributions, aka histograms
Height Histogram (made up data): Total students = 49 Round heights to closest
integer, plot histogram What is the combined area
of all bars? If I pick a student at random,
what are chances he/she will be 68 inches tall?
What is the area of the bar at 68 inches divided by the total area?
How many students will be exactly 68.000000 inches tall?
If I pick a student at random, what are chances he/she will be 61.5-64.5 inches tall?
What is average height of all students? (At least, how would you figure that out?)
“Normalized” Histogram: Total students = 49 Y-axis now divided by
total # of students. What is combined
area of all bars? If I pick a student at
random, what are chances he/she will be 61.5-64.5 inches tall? (At least, how would you figure that out?)
How many students have heights between 61.5 and 64.5 inches?
What is average height of all students?
Probability Distribution Function
Imagine total # =10 billion. Tiny “bins”. Connect peaks of curve with line… becomes a function
What is combined area of all bars? If I pick a person at random, what are chances he/she will
be 63.6-67.2 inches tall? How many people have heights between 63.6 and 67.2
inches? What is average height of all people? (If a non-symmetric
curve, this is not just the peak of the curve.)
Velocity Distribution: “Maxwell-Boltzmann”
At 600K, how many molecules with speeds between 400 and 600 m/s?
What is “vmost probable”? What is “vaverage”? What is “vrms”? How many molecules
are at exactly the “most probable” velocity?
2122( ) Bmv k Tf v v e
with some constants out in front to normalize it
Where does this eqn come from? Wait a few weeks.
Calvin and Hobbes, Bill Watterson
Calvin and Hobbes, Bill Watterson
Calvin and Hobbes, Bill Watterson
Heat = not a fluid!
Sir Benjamin Thompson, Count Rumford, 1753-1814
a. Boiling water with a cannon
Image credit: Wikipedia
James Joule, 1818-1889
Image credit: Wikipedia
Demo/Video
Demo: Boiling water with a vacuum
Video: Boiling water in a paper cup
Reading Quiz What name do we give to the heat
capacity per unit mass? a. entropy b. internal energyc. mass-pacityd. normalized heat capacitye. specific heat
Specific Heat
Q=mcT
Thought Question If you add 500 J of
heat to a mass of water, and 500 J of heat to the same mass of copper, which one increases the most in temperature?
a. Waterb. Copperc. Same
Reading Quiz
Thermal energy that is used to melt or freeze something is called:
a. latent heatb. mass heatc. melty heatd. molar heate. specific heat
Phase Changes
T
Heat energy added (Q)
100o C Water boils
0o C Ice melts
Ice warming
Ice melting
Water warming
Water boiling
Steam warming
Latent Heats
Thought Question If you want to melt a cube of ice
that’s initially at -40C, you must first raise its temperature to 0C, and then you must melt it. Which part takes the most energy?
a. Raising the temperature b. Meltingc. Same
Calorimetry
Worked problem (class designed):____ grams of hot iron at _____ C is added to ____ g of water at _____ C in a styrofoam insulated container. What is the final temperature of the mixture? (Neglect the container.)
ciron = 448 J/kgC cwater = 4186 J/kgC Lwater-steam = 2.26 106 J/kg