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Heat Energy

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Although the discoverer or inventor of the heat energy equation is unknown, the French chemist Antoine Lavoisier was one of the first scientists to be known for using this formula. In the mid 1780's, Lavoisier first used the formula to determine how much heat was given off by an animal. He kept the guinea pig in an enclosed container in order to melt ice and used the heat energy formula to determine his objective.

Heat energy formula

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Where:

is heat energy,
is mass,
is change in temperature,
is specific heat.

Table of specific heat capacities

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Table of specific heat capacities at 25 °C (298 K) unless otherwise noted Notable minima and maxima are shown in maroon
Substance Phase (mass) specific
heat capacity
cp or cm
J·g−1·K−1
Constant
pressure molar
heat capacity
Cp,m
J·mol−1·K−1
Constant
volume molar
heat capacity
Cv,m
J·mol−1·K−1
Volumetric
heat capacity

Cv
J·cm−3·K−1
Constant vol.
atom-molar
heat capacity
in units of R
Cv,m(atom)
atom-mol−1
Air (Sea level, dry,
0 °C (273.15 K))
gas 1.0035 29.07 20.7643 0.001297 ~ 1.25 R
Air (typical
room conditionsA)
gas 1.012 29.19 20.85 0.00121 ~ 1.25 R
Aluminium solid 0.897 24.2 2.422 2.91 R
Ammonia liquid 4.700 80.08 3.263 3.21 R
Animal tissue
(incl. human)
[1]
mixed 3.5 3.7*
Antimony solid 0.207 25.2 1.386 3.03 R
Argon gas 0.5203 20.7862 12.4717 1.50 R
Arsenic solid 0.328 24.6 1.878 2.96 R
Beryllium solid 1.82 16.4 3.367 1.97 R
Bismuth[2] solid 0.123 25.7 1.20 3.09 R
Cadmium solid 0.231 26.02 3.13 R
Carbon dioxide CO2[3] gas 0.839* 36.94 28.46 1.14 R
Chromium solid 0.449 23.35 2.81 R
Copper solid 0.385 24.47 3.45 2.94 R
Diamond solid 0.5091 6.115 1.782 0.74 R
Ethanol liquid 2.44 112 1.925 1.50 R
Gasoline (octane) liquid 2.22 228 1.64 1.05 R
Glass[2] solid 0.84
Gold solid 0.129 25.42 2.492 3.05 R
Granite[2] solid 0.790 2.17
Graphite solid 0.710 8.53 1.534 1.03 R
Helium gas 5.1932 20.7862 12.4717 1.50 R
Hydrogen gas 14.30 28.82 1.23 R
Hydrogen sulfide H2S[3] gas 1.015* 34.60 1.05 R
Iron solid 0.450 25.1[citation needed] 3.537 3.02 R
Lead solid 0.129 26.4 1.44 3.18 R
Lithium solid 3.58 24.8 1.912 2.98 R
Lithium at 181 °C[4] liquid 4.379 30.33 2.242 3.65 R
Magnesium solid 1.02 24.9 1.773 2.99 R
Mercury liquid 0.1395 27.98 1.888 3.36 R
Methane at 2 °C gas 2.191 35.69 0.66 R
Methanol (298 K)[5] liquid 2.14 68.62 1.38 R
Nitrogen gas 1.040 29.12 20.8 1.25 R
Neon gas 1.0301 20.7862 12.4717 1.50 R
Oxygen gas 0.918 29.38 21.0 1.26 R
Paraffin wax
C25H52
solid 2.5 (ave) 900 2.325 1.41 R
Polyethylene
(rotomolding grade)[6][7]
solid 2.3027
Silica (fused) solid 0.703 42.2 1.547 1.69 R
Silver[2] solid 0.233 24.9 2.44 2.99 R
Sodium solid 1.230 28.23 3.39 R
Steel solid 0.466
Tin solid 0.227 27.112 3.26 R
Titanium solid 0.523 26.060 3.13 R
Tungsten[2] solid 0.134 24.8 2.58 2.98 R
Uranium solid 0.116 27.7 2.216 3.33 R
Water at 100 °C (steam) gas 2.080 37.47 28.03 1.12 R
Water at 25 °C liquid 4.1813 75.327 74.53 4.1796 3.02 R
Water at 100 °C liquid 4.1813 75.327 74.53 4.2160 3.02 R
Water at −10 °C (ice)[2] solid 2.11 38.09 1.938 1.53 R
Zinc[2] solid 0.387 25.2 2.76 3.03 R
Substance Phase Cp
J/(g·K)
Cp,m
J/(mol·K)
Cv,m
J/(mol·K)
Volumetric
heat capacity

J/(cm3·K)

Food energy calculation method

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1. Use the measuring cylinder to measure 20 cm3 of water into the boiling tube.

2. Clamp the boiling tube to the clamp-stand.

3. Measure the temperature of the water with the thermometer. Record the temperature in a suitable results table.

4. Choose a piece of dry food and find its mass using the balance. Record the mass in the table.

5. Impale the piece of food carefully on a mounted needle.

6. Light the Bunsen burner and hold the food in the flame until it catches alight.

7. As soon as the food is alight, put it under the boiling tube of water as shown. Try to make sure that as much of the heat from the burning food as possible is transferred to the water. Do this by keeping the flame under the tube.

8. Hold the food in place until the food has burnt completely. If the flame goes out, but the food is not completely burnt, quickly light it again using the Bunsen burner and replace the food beneath the tube.

9. As soon as the food has burned away completely and the flame has gone out, measure the temperature of the water again. Before measuring, stir the water carefully with the thermometer and note down the highest temperature reached in the results table.

10. Repeat the procedure for other foods.

11. Calculate the rise in temperature each time.

12. Calculate the energy released from each food by using this formula.

Where:

is food energy,

is water mass,

is change in temperate,

is the food mass.

References

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  1. ^ Page 183 in: Cornelius, Flemming (2008). Medical biophysics (6th ed.). ISBN 1-4020-7110-8. (also giving a density of 1.06 kg/L)
  2. ^ a b c d e f g "Table of Specific Heats".
  3. ^ a b Young; Geller (2008). Young and Geller College Physics (8th ed.). Pearson Education. ISBN 0-8053-9218-1.
  4. ^ "Materials Properties Handbook" (PDF). UCLA.
  5. ^ "HCV (Molar Heat Capacity (cV)) Data for Methanol". Dortmund Data Bank Software and Separation Technology.
  6. ^ Crawford, R. J. Rotational molding of plastics. ISBN 1-59124-192-8.
  7. ^ Gaur, Umesh; Wunderlich, Bernhard (1981). "Heat capacity and other thermodynamic properties of linear macromolecules. II. Polyethylene" (PDF). Journal of Physical and Chemical Reference Data. 10: 119. Bibcode:1981JPCRD..10..119G. doi:10.1063/1.555636.