The theory of rubber elasticity and the theory of ideal gas dynamics show that the two...

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Mechanical Engineering

The theory of rubber elasticity and the theory of ideal gasdynamics show that the two equations, G = nRT and PV = n'RT, sharecertain common thermodynamic ideas.
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Significance of volume changesstates that in an extension carried out at constant volume bysuitable adjustment of the surrounding pressurethe internal energy change should be zero The implication is thatthe changes of internal energy which are actually observed in anextension at constant pressure arise from the accompanying changeof volume Following up this conclusion and assuming the classicalrelation between internal energy and volume for a pure dilatationto be applicable Gee derived an expression for the total change ofvolume in an extension from an unstrained length lG to a length 1at constant pressurenamelywhere K is the volume compressibility Direct measurements ofvolume changes during extension Gee et al 1950 though somewhatinaccurate were found to be consistent with this equationAnisotropic compressibility Both Gee andElliott and Lippman assumed therubber sample acted on by a tensile forcef to See Answer

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