Rubber Band Equation Of State

3 begingroup i have the following question that i attached in png format. Active 5 years 10 months ago. So we have the first law.

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3 consider a rubber band under tension f with length per mole lln.

Rubber band equation of state.

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. 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. Viewed 4k times 3. Also show this equation of state satisfies the gibbs duhem equation.

I have done part a but i am having difficulties in part b when i proceed according to the book. A rubber band is a single molecule as is a latex glove. 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. However there is no thermodynamic analysis of the resulting values nor do they address the applicabil ity of the equation of state.

Du t ds fdl dq dw the work done on the elastic band is 0 as it is held at a fixed length. Equation of state of a rubber band. In this paper we introduce. 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.

The cross linked polymers of a rubber band begin in a chaotic low energy tangled state. When a rubber band is stretched some of the network chains are forced to become straight. 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. 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.

Ask question asked 6 years 11 months ago. 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. However there is no. I have non zero tension at equilibrium.

Implies du dq dt c.

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