Please answer number one! September 12, 2018 HW4 Solutions (due by September 19)
ID: 145832 • Letter: P
Question
Please answer number one!
September 12, 2018 HW4 Solutions (due by September 19) 1. Force-induced protein unfolding was measured in an aqueous glycerol solution (the distance to the TS for this process is 4A). The unfolding rate constant measured under 5 pN equilibrium force applied to the ends of the protein was 10 s1 a) (4 points) Calculate the rate constant you expect to observe under 10 pN of applied force. You can assume that unfolding of this protein proceeds as a single barrier crossing. b) (1 point) How would you modify the experiment to determine the height of the activation barrier? 2. (5 points) Knowing dimensions of dsDNA (a worm-like cylinder with persistence length = 50 bp 16.5 nm); diameter ~2.37 nm) calculate the volume of solvent and the fraction of unoccupied volume within globule of 50 kb and 200 kb long dsDNA.Explanation / Answer
1
a) The rate constant to observe uner 10pN of applied force =>
(Distance to the TS X unfolding rate constantx Equilibrium force )/ Applied force
=>4 x5 x10/10=>20 s^-1
b)To determine the height of the activation barrier we will find the slope of the equilibirum solution and find it using tan thets over the height and the distance to the TS which will easily give the height.