The Significance of the Mechanical Equivalent of Heat

In summary, the mechanical equivalent of heat is the amount of work done in joules to provide 1 cal of energy. It is a conversion factor that relates the units of energy, but it also has significant implications in the understanding of energy conservation and the equivalence of different forms of energy. This concept was first demonstrated by Joule in his classic experiment in 1843. While the physical significance of the mechanical equivalent of heat may vary in different states of matter, its existence serves as a fundamental principle in thermodynamics and the conversion of energy between heat and mechanical forms.
  • #1
miss photon
23
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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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  • #2
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.
 
  • #3
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.
 
  • #4
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?
 
  • #5
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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  • #6
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.
 

What is the mechanical equivalent of heat?

The mechanical equivalent of heat is a physical constant that relates the amount of work done to the amount of heat produced. It states that 1 calorie of heat is equivalent to 4.186 joules of work.

Who discovered the mechanical equivalent of heat?

The mechanical equivalent of heat was discovered by James Prescott Joule in the 19th century through his famous paddle-wheel experiment.

Why is the mechanical equivalent of heat important?

The mechanical equivalent of heat is important because it provides a connection between two different forms of energy - heat and mechanical work. This relationship is crucial in understanding the principles of thermodynamics and the conversion of energy from one form to another.

How is the mechanical equivalent of heat calculated?

The mechanical equivalent of heat is calculated by measuring the amount of work done (in joules) and the amount of heat produced (in calories) in a given system. The ratio of these two values gives the value of the mechanical equivalent of heat.

What is the significance of the mechanical equivalent of heat in modern science?

The mechanical equivalent of heat is still used in modern science to understand and quantify the relationship between heat and work. It is also used in various fields such as thermodynamics, engineering, and physics to calculate energy conversions and efficiency of systems.

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