Energy Unit Calorie and calorie_ by nyut545e2


									                                                                                   C + O2          CO2 + Energy

                                                        6 million
                                                      light bulbs
                                                                       Thus, note that for every atom of carbon, we produce one
                                                    $13 million of     molecule of CO2.
                                                        bulbs          This will turn out to be one of the major factors in the
                                                     Saving 60         increase in carbon dioxide in the atmosphere (a greenhouse
                                                      MWatts           gas).

Does this sound like a good idea?
A) Yes       B) No

                                                                     Clicker Question
Each reaction with a carbon atom (in the coal for example), has       With this energy (107 Joules), approximately how many feet
an energy of 10-18 Joules.                                            can we raise a 3000 lb car? Assume 100% efficient use of
                                                                      this energy.
This seems like a tiny number! But it is only one carbon atom.                                     Unit Conversions:
                                                                      A) 4 feet
                                                                      B) 10 feet                   1 Joule = 0.74 foot-pounds
How many atoms are there in 12 grams of carbon?                                                    1 Joule = 0.0009 Btu
                                                                      C) 200 feet
                                                                      D) 2300 feet                 1 Joule = 0.24 calories
Avagadro’s Number = 6 x 1023 atoms per mole
                                   per 12 grams of carbon
                                                                                                                             ⎛ 0.74 ftlbs ⎞
A 1 pound lump of coal has about 1025 atoms of carbon. Thus                                             Energy = (10 7 J ) × ⎜            ⎟
the total energy from this chemical reaction is:                                                                             ⎝     J      ⎠
                                                                                                        Energy = 7 ×10 6 ft − lbs
Total Energy = (Energy per Carbon Atom )× (# Carbon Atoms)

                (                   )
Total Energy = 10 -18 Joules/Atom × (10 25 Atoms) = 10 7 Joules
                                                                                                          Thus, the work that can be
                                                                                                          done is lifting a 3000 lbs car
                                                                                                          x 2300 feet ~ 7 x 106 ft-lbs.

                                                                                Energy Unit Calorie and calorie!
                     Where is the energy given on this label?
                     New Energy Unit = Food Calorie or Calorie
                                                                                                Energy to change the
                     1 Food Calorie = 4184 Joules                                               temperature of 1 gram of water
                                                                                                by 1 °C

                                                                                             Calorie or Food Calorie (or kilo-

                                                                                                Energy to change the temperature
                                                                                                     kilo-                 1°
                                                                                                of 1 kilo-gram of water by 1°C

                                                                      * Thus a Food Calorie is actually the same as 1000 calories
                                                                      (which is the physics or chemistry term).

                                                                    British Thermal Unit (BTU)

                                                                        Energy required to change the
                                                                        temperature of 1 pound of water by 1°F

                                So really that is 1000
                                  physics calories!

Clicker Question
   Table 2.6 says that the best coal (Anthracite) which is
   88% carbon, has an energy content of 13,300 Btu / lb.

   So how many degrees can you raise the temperature of
   260 pounds of water with the energy from one pound of
                                                                     1 Jelly donut
                                                                                                   CO2 + H2O + Energy
   A)   5 degrees Fahrenheit                                         (250 Calories)
   B)   50 degrees Fahrenheit
   C)   250 degrees Fahrenheit
                                                                    How many Joules of energy is this?
   D)   3000 degrees Fahrenheit
   E)   40 degrees Celsius                                                         ⎛ 1000 calories ⎞ ⎛ 4.184 Joules ⎞
                                                                    250 Calories × ⎜               ⎟×⎜              ⎟   = 106 Joules !
 13,300 Btu raises the temperature of 1 lbs of water by 13,300 0F                  ⎝ 1 Calorie ⎠ ⎝ 1 calorie ⎠
 13,300 Btu raises the temperature of 260 lbs of water by
 13,300/260 = 50 0F

 What if we compare this 1 million Joules from the donut, to the                      Other forms of Energy?
 Potential Energy of a 60 kg object at a given height (H).

 What is that height H?

           PE = mgH
                   PE    (10 6 Joules)
           H=         =
                   mg (60kg × 9.8m / s 2 )
                   PE    (106 Joules)                                Demonstration with hammering a nail into a board.
           H=         =
                   mg (60kg × 9.8m / s 2 )                           1. Work is done by the person to give Kinetic Energy to the
          H = 1700 meters or 5000 feet                               2. The hammer then does work on the nail to give it kinetic
                                                                     energy (the nail moves with some velocity).
  Biological mechanism needed for efficient conversion.              3. When the nail stops moving, where did the energy go?

             New From of Energy = Heat !
                                                                 Thus, when we convert energy into heat or thermal energy,
Heat was not considered a form of energy until the mid-          the kinetic energy is not seen as the net motion of a large
1800’s. Prior to that it was thought of as some type of          object (like a car or a nail), but instead as an increase in the
fluid that made things hot.                                      velocity of individual particles with random motion.

In fact heat energy (also called thermal energy) is really       Since the motion is random, the object does not appear to
just a microscopic form of kinetic energy.                       move, but just has a higher temperature.

                                                                 Temperature is typically proportional to the average Kinetic
                                                                 Energy of particles in a material.

                                                                 Note that thermal energy can be hard to use (get at) or
                                                                 convert into other forms.

     Another Energy                Mass Energy                   Here is me lecturing….

Over 100 years ago, Albert Einstein                              How much energy do I have?
discovered that mass is just another
form of energy.                                                          Weight = 185 pounds

        E = mc 2
                                                                         Convert weight in earth’s gravity to mass         84 kg

                                                                         E = mc 2 = (84kg )× (3 ×108 m / s ) 2
                                                                         E = 8 ×1018 Joules !
m is mass in kilograms (SI Units) and c is the speed of
light (3 x 108 meters/second).                                   Consider that the entire USA uses 100 QBtu or 1020 Joules
                                                                 each year.
                                                                 Thus the energy in my body could “run all the lights” for 29
                                                                 out of 365 days in a year.
                                                                 What is the problem with this idea?

                                                               Clicker Question
However, in nuclear reactions, we sometimes observe that                      Fission Energy Release
there was a little more mass before compared with
                                                                             U235 + n          Ba141 + Kr92 + 3n
                                                                             U235 + n          Te139 + Zr94 + 3n
 Fission Reaction (Splitting)       Fusion Reaction (Adding)
                                                                 If you add the masses before and after, you find that you lost
                                                                 about 3 x 10-28 kilograms in the process!
                                                                 Recalling that E=mc2 (where c = 3 x 108 m/s), what is the
                                                                 ratio of energy from 235 grams of Uranium (1023 atoms)
                                                                 compared to that from a 1 pound lump of coal (107 Joules)?
                                                                 A)   Uranium and coal energies are about equal
                                                                 B)   Uranium energy is 1/100 of the coal energy
                                                                 C)   Uranium energy is 1000 times the coal energy
                                                                 D)   Uranium energy is 100,000 times the coal energy

                                                                E (Uranium) = mc 2 = (10 23 × (3 × 10 −28 kg ))(3 ×108 m / s) 2 ~ 1012 J

                                                                                  Nuclear fission chain reactions are
                                                                                  the current power source for
                                                                                  nuclear reactors. Isotopes of
                                                                                  Uranium for example are the fuel.

                                                         Nuclear weapons now utilize
                                                         both fission and fusion
  Chemical Reactions        Nuclear Reactions involve
involve atomic electrons.   proton and neutrons in the
   Typical energy per
 reaction ~ 10-18 Joules       Typical energy per                            The sun is powered by fusion
        (or 10 eV)           reaction ~ 10-11 Joules                         reactions in the core. The sun will
                                 (or 200 MeV)                                continue to “burn” for a few billion
                                                                             more years before it runs out of fuel.


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