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    Physics 1220/1320

    Thermodynamics

    AndElectromagnetism

    T1-T7 ~ Thermodynamics ch 17, 18

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    oF oC oK

    Water boils 212 100 373

    Room Temperature 72 23 296

    Water Freezes 32 0 273

    Absolute Zero -460 -273 0

    Temperature Scales-

    How to define temperature?

    Four scales: two relative, two absolute

    Centigrade/ Celsius vs. Fahrenheit

    Kelvin vs. Rankine absolute zero

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    Fixed temperature

    calibration points

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    Production of very low temperatures

    Use of cryogenics :

    boiling points

    Pumpingon liquid surface

    For mK, K, nK

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    What is Heat? What causes heat transfer?

    http://coolcosmos.ipac.caltech.edu/cosmic_classroom/light_lessons/thermal/heat.html

    Infrared images show Q/T:

    http://coolcosmos.ipac.caltech.edu/cosmic_classroom/light_lessons/thermal/heat.htmlhttp://coolcosmos.ipac.caltech.edu/cosmic_classroom/light_lessons/thermal/heat.html
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    What is the difference between

    temperature and heat?Heat is the total energy of molecular motion in a

    substance

    while temperature is a measure of the

    average energy of molecular motion in a substance.

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    How does heat travel?Three ways: Conduction

    Convection

    Radiation

    http://www.kangwon.ac.kr/~sericc/sci_lab/physics/conduction/conduction.html

    http://hea-www.harvard.edu/~efortin/thesis/html/ExploreSun.shtml

    http://www.kangwon.ac.kr/~sericc/sci_lab/physics/conduction/conduction.htmlhttp://hea-www.harvard.edu/~efortin/thesis/html/ExploreSun.shtmlhttp://hea-www.harvard.edu/~efortin/thesis/html/ExploreSun.shtmlhttp://hea-www.harvard.edu/~efortin/thesis/html/ExploreSun.shtmlhttp://hea-www.harvard.edu/~efortin/thesis/html/ExploreSun.shtmlhttp://www.kangwon.ac.kr/~sericc/sci_lab/physics/conduction/conduction.html
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    Mechanisms of Heat Transfer

    Stefan Boltzmann Law of Heat Radiation:

    Black body = an object that absorbs all radiation that falls on it

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    Thermal Expansion

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    Quantity of HeatSpecific Heat

    Unit: the calorie 1 [cal] = 4.186 [J]

    [BTU] = 1055 [J]

    http://www.chem.iastate.edu/group/Greenbowe/sections/projectfolder/flashfiles/thermochem/heat_metal.html

    Chemistry: a mole of any substance contains the same

    amount of molecules: NA(Avogadro constant, 6.0221367 1023)

    Heat required for temperature change of mass m:

    This quantity c is called specific heat

    For water: heating 1[g] by 1 degree C requires 1[kcal]

    http://www.chem.iastate.edu/group/Greenbowe/sections/projectfolder/flashfiles/thermochem/heat_metal.htmlhttp://www.chem.iastate.edu/group/Greenbowe/sections/projectfolder/flashfiles/thermochem/heat_metal.html
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    Phase Changes (Transitions)

    Heat is required to change ice into water:

    heat of fusion

    Similar: heat of vaporization

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    Equations of StateIdeal Gas Law

    Certain properties of matter are directly linked to the

    thermodynamic state of a substance: volume V, pressure p,

    temperature T

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    Often, the mass is constant in a process. Then:

    p1V1/T1= p2V2/T2

    Variation pressure with elevation

    Constant T

    Elevation (meters) Pressure (millibars)

    0 1013.25

    1000 898.76

    2000 795.013000 701.21

    4000 616.60

    5000 540.48

    How can we understand that behavior?

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    Van der Waals Equation

    The ideal gas equation neglectsvolume of molecules

    - attractive forces between mol.

    Approximate corrections: (empirically found)

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    Kinetic Gas Theory Ideal Gas

    Model assumptions: large number identical particlespoint size

    : move by Newtons law and have elastic collisions

    : perfect container

    P momentum, p pressure!

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    Another important concept is the mean free path of a moleculebetween collisions:

    Collisions between molecules which

    are both in cylinder.

    Number of molecules with center in

    cylinder:

    dN = 4pr2v dt N/V dN/dt

    Correction for all molecules moving:

    dN/dt = 4p20.5 r2v N / V

    With tmeanthe mean free time between

    collisions

    Wh ti h i d l l ti th

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    The 12 degrees of freedom for a roughly dumbbell-shapedhydrogen molecule (CM = Center of Mass).

    When connecting mechanics and molecular motion, the

    degrees of freedom of the motion need to be considered.

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    H2gas:

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    Solids:

    Ph Di

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    Phase Diagrams

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    WaterAn easy case?

    http://www.lsbu.ac.uk/water/phase.html

    http://www.lsbu.ac.uk/water/phase.htmlhttp://www.lsbu.ac.uk/water/phase.html