For a id system like a linear polymer, we write d sigma = du-fdl, where is the "natural" temperature r = k_b t, f is the external force on the line, and l is the extension of the line. from this, we get f= - . consider a polymer chain in id with n links of length a, where each link can be oriented to the left or the right with equal probability. the total end-to-end extension of the polymer is given by l = 2|s|a, where. v is the excess oflengths pointing to the right. show that for |s| n, we can write the entropy as sigma(l) = ln[2g(n, 0)] -l^2/(2na^2) where g(n, s) - n! /(1/2 n+s)! {1/2n-s)! ] analogously to the spin system studied in class. show that the force at extension l is given by f = l/(na^2). what does this mean physically will happen to the polymer as the temperature is increased?

While studying chemical reactions and conservation of matter, sarah's class conducted a variety of experiments. sarah and her lab partner found the mass of a wax candle and placed the candle in a flask. the students lit the candle and let it burn to completion. all that was left was wax and charred candle wick. per their teacher's instructions, the students found the mass of the products. their data can be seen in the data table. formulate a hypothesis the students could test to explain why the experiment did not support the law of conservation of matter. a) the students could repeat the experiment using different candles; there might have been a flaw in the candle. b) the experiment should be repeatable. the students should run several trials and then take an average of the after mass in each trial. c) the students should have someone in the class check their measurement skills as they repeat the experiment. they may have made an error using the balance. d) the students should burn the candle in a container that has some type of lid so that any gas that is a product of the reaction can be contained and massed. submit

What is the temperature in degrees celsius of a substance with a tempature of 49k

Newtons view of arrangement of the universe