Rubber Band Equation Of State
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Rubber band equation of state. So we have the first law. Viewed 4k times 3. 3 consider a rubber band under tension f with length per mole lln. I have done part a but i am having difficulties in part b when i proceed according to the book.
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. 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 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. 3 begingroup i have the following question that i attached in png format.
When a rubber band is stretched some of the network chains are forced to become straight. In this paper we introduce. Implies du dq dt c. I have non zero tension at equilibrium.
The cross linked polymers of a rubber band begin in a chaotic low energy tangled state. A rubber band is a single molecule as is a latex glove. However there is no thermodynamic analysis of the resulting values nor do they address the applicabil ity of the equation of state. 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.
Du t ds fdl dq dw the work done on the elastic band is 0 as it is held at a fixed length. 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. Also show this equation of state satisfies the gibbs duhem equation.
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.
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