Part II (3) Boltzmann Distribution on Bubble Formation (20 pts) Assurne the energy cost to form...
Part II (3) Boltzmann Distribution on Bubble Formation (20 pts) Assurne the energy cost to form a bubble of radius r in a cell is Er-4TT2σ where the constant σ denotes the surface tension. Given the temperature T of the cell, answer the following questions: (a) (5 pts) What is the probability to form a bubble of radius r? (b) (5 pts) What is the average bubble energy? (c) (5 pts) What is the average bubble radius? (d) (5 pts) If we assume the surface tension will be order of one in terms of the proper scales of pN (pico Newton) and nm (nano meter) in the nanobio context, what is the numerical value of the average bubble radius? Note: Gaussian integral: ev2Ta2.