Equation of state of a rubber band.
Rubber band equation of state.
A rubber band is a single molecule as is a latex glove.
When the bands are stretched the energy is increased and the polymers untangle until they reach a local maximum of their length and a local minimum of entropy.
Rubber band 6 their experiment is used to teach data analysis methods by using multiple approaches to extract the parameters in an equation of state for the rubber band.
Individual 4 carbon backbone units are forced into rotational conformations that have longer end to end distances and this restricts the number of conformations states that are thermally accessible.
In this paper we introduce.
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3 consider a rubber band under tension f with length per mole lln.
Rubber band as a function of temperature and extension using a space heater to change the temperature of the rubber band 6 their experiment is used to teach data analysis methods by using multiple approaches to extract the parameters in an equation of state for the rubber band.
When a rubber band is stretched some of the network chains are forced to become straight.
However there is no.
However there is no thermodynamic analysis of the resulting values nor do they address the applicabil ity of the equation of state.
For this system it has been suggested that the entropy s is related to the energy e 0 and the length according to scnengll 2 o where llo 1 c 0 and gx x 1 2 γ x 1 a determine as a function of temperature and length per mole the constant.
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I have done part a but i am having difficulties in part b when i proceed according to the book.
3 begingroup i have the following question that i attached in png format.
We show and analyze the variables thermodynamic formulation of rubber band heat engine to accommodate the experimental data so that the equation of state heat work and efficiency are not only.
So we have the first law.
2 if the equation of state for a rubber band is given by where θ is a constant and l is the length of the rubber band determine the chemical potential θ e s l n 2 2 μ t l n.
Du t ds fdl dq dw the work done on the elastic band is 0 as it is held at a fixed length.
I have non zero tension at equilibrium.
The cross linked polymers of a rubber band begin in a chaotic low energy tangled state.