The Significance of the Mechanical Equivalent of Heat

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The mechanical equivalent of heat defines the relationship between mechanical work and thermal energy, specifically that 4.2 joules equals 1 calorie. This conversion factor is not merely a numerical value; it signifies the fundamental principle of energy conservation, illustrating that different forms of energy can be interconverted. The ability to convert mechanical energy into thermal energy is crucial for understanding thermodynamics. Historical experiments, such as Joule's in 1843, provided empirical evidence for this equivalence. Overall, the mechanical equivalent of heat has significant implications in both classical and quantum mechanics.
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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