Reference no: EM13952657
1) Polymers, like rubber, are made of very long molecules, usually tangled up. Another very crude model of a rubber band is that each link is either crumbled up or stretched. If it is crumbled up, its length is negligible and it is in the lowest energy state, call it E = 0. If it is stretched, then its length is L and it is in its high energy state of E = Eo. Consider a rubber band made of N links. The total length, Ltot, of the rubber band is the net displacement from the beginning of the first link to the end of the last link.
a) How many microstates are there when the energy of the system is nEo. Here, n is an integer that is less than the total number of links, N.
b) What is the length of the rubber band if it has N links and the total energy is nEo?
c) If N = 3 and the temperature is T, what is the partition function for this system? Your answer can depend (but it doesn't have to depend on all of these) on any of the quantities already given in this problem such as L, T, Eo, N, and n (the number of stretched polymers).
d) What is the average length of rubber band when it has N links and is at a temperature of T? This answer requires you to do a summation. Just set up the summation symbolically; do not try to do it. Just give a symbolic formula and explain what it means and give your reasoning. Your answer can depend (but it doesn't have to depend on all of these)on any of the quantities already given in this problem such as L, T, Eo, N, and n (the number of stretched polymers).
|
Prepare a net-present-value analysis of the purchase
: Prepare a net-present-value analysis of the purchase and installation of the material-handling system using the revised estimates obtained by Leland Forrest
|
|
Find the electric field inside the diaelectric
: Consider a charge distribution enclosed in a box with the same geometry as the box in question 2(a) and 2(b), but rather than having a constant charge density, the charge density varies inside the box with z as p(z) = k(z + d/2), where k is a con..
|
|
The securities and exchange commission
: The Securities and Exchange Commission (SEC) regulates public companies. The SEC has found that some of these companies have violated GAAP by using creative accounting practices to mislead investors and creditors regarding the health of their comp..
|
|
Search for a contemporary example of breaches
: Search for a contemporary example of breaches of the standards for ethical and legal research.Please add citation and refernce
|
|
What is the average length of rubber band
: What is the average length of rubber band when it has N links and is at a temperature of T? This answer requires you to do a summation. Just set up the summation symbolically; do not try to do it. Just give a symbolic formula and explain what ..
|
|
Assume that sales for each quarter
: Assume that sales for each quarter in 2012 will be 25 percent higher than they were in 2011 and the selling price per lock is $15.Prepare a sales budget by quarter for 2012.
|
|
Select different construction materials
: Select different construction materials found in the built environment at your choice except concretes and timber.
|
|
Determine location of the center of mass of this molecule
: The carbon monoxide molecule (CO) consists of a carbon atom and an oxygen atom separated by a distance of 1.13 * 10^-10 m. The mass of mc = 0.750 mo. Determine the location of the center of mass of this molecule relative to the carbon atom.
|
|
Indicate the impact of the transaction
: Indicate the impact of the transaction on the corresponding ratio (increase, decrease, or no effect).
|