The Significance of the Mechanical Equivalent of Heat

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SUMMARY

The mechanical equivalent of heat is defined as the amount of work done in joules to produce 1 calorie of energy, specifically 4.2 J = 1 cal. This relationship serves as a conversion factor between mechanical energy and thermal energy, highlighting the principle of energy conservation. The significance lies in the ability to convert mechanical energy into thermal energy, which was demonstrated by James Prescott Joule in his 1843 experiment. This concept is foundational in thermodynamics, emphasizing that all forms of energy are equivalent.

PREREQUISITES
  • Understanding of thermodynamics principles
  • Familiarity with energy units: Joules and Calories
  • Basic knowledge of mechanical work and energy conversion
  • Awareness of historical experiments in physics, particularly Joule's experiment
NEXT STEPS
  • Research the historical context and details of Joule's 1843 experiment
  • Explore the implications of energy conservation in thermodynamics
  • Study the relationship between gas pressure and thermal energy
  • Investigate quantum mechanics (QM) applications in solid-state energy conversion
USEFUL FOR

Students and professionals in physics, particularly those studying thermodynamics, energy conversion, and the historical development of energy concepts.

miss photon
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we define mech equivalent of heat as the amount of work done in joules in order to provide 1 cal of energy.
4.2 J= 1 cal
is mech equiv of heat simply a conversion factor or does it have any other physical significance?
 
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the Joule and the Calorie are both units of measures of energy, but defined differently, so with the necessary analysis (or experiment), they can be (and are) related by a conversion factor.
 
An example: If pushing an object against friction requires 4.2J, it will generate 1 cal of heat. Thermodynamics is basically the study of converting energy between heat and mechanical.
 
russ_watters said:
An example: If pushing an object against friction requires 4.2J, it will generate 1 cal of heat. Thermodynamics is basically the study of converting energy between heat and mechanical.

that doesn't answer my question, is there any physical significance of mechanical equivalent of heat?
 
miss photon said:
that doesn't answer my question, is there any physical significance of mechanical equivalent of heat?
The particular value is just a conversion factor, but the fact that you can "convert" mechanical energy to thermal energy at all is extremely significant. This led the way to the modern concept of energy conservation and the idea that while it takes various forms, all "energy" is equivalent. Joule performed a classic experiment in 1843 to demonstrate the equivalence of "heat" energy and mechanical work: http://en.wikipedia.org/wiki/Mechanical_equivalent_of_heat"
 
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miss photon:
is mech equiv of heat simply a conversion factor or does it have any other physical significance?

Yes, it have any other physical significance.
Because heat is just the mechanical energy of atoms or molecules there must be a way to derive 1 cal from 1 Joule.
In a gas there must be a simple way of doing that, if you define 1 cal in function of pressure of the gas.
In solids, I think you must apply QM.
 

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