(c) Shown below are the molecule structures for pentane and hexane: Given that the b=0.1451L/mol for pentane, express the value of b for pentane in units of A3(1A=100pm) (d) Using your answers, solve for the minimum allowed intermolecular distance (distance between pentane molecules) R in units of A. (e) R is the internuclear separation at which electronic core repulsions occur. This distance is twice the radius of the individual molecules: R=2R. With this information, calculate the estimated molecular radius of pentane. (f) The radius of the hexane molecule is 2.589A. If we consider that pentane contains four CC bonds, and hexane contains five CC bonds, what is the calculated average bond length of the CC bonds in each molecule? The average length of a CC bond is 1.540A. How does this compare to the length you calculated? Please provide a reason for any observed discrepancies. (a) Consider a system in the gas phase with the following idealized intermolecular potential energy surface. Assuming the molecules are spherical, evaluate the excluded volume for a pair of molecules Vpair as a function of the minimum allowed intermolecular distance R. (b) In order to calculate the excluded volume per molecule b we must divide the excluded volume for a pair of molecules by a factor of 2 , thus assigning half of the excluded volume to each individual molecule. Write an equation for b in terms of the intermolecular distance, R