the probability distribution of Ree (vector) was of the following form: A P(Ree) -3Ree/2nl (nl2)3/20 e Where A is a constant for normalization. A. (4pts) Please show that Helmholtz free energy F is dependent on Ree^2 and how force is linearly related to Ree (ie entropic spring!) Hint: we did this in class! B. (4pts) What constraints apply to your final answers for part A? (ie, when is force no longer linear?) Please explain thoroughly the assumptions behind this C. (4pts) If I increase temperature, does the entropic spring constant increase or decrease? Why? Explain using thermodynamics