This problem pertains to poly(ethylene oxide) (PEO) chains having a molecular weight of 10,000 g/mol. For PEO, use an estimate for a PEO Kuhn length of 1.5 nm and a molecular weight of the statistical Kuhn of about 90 g/ mol. A) Calculate the root mean square end-end distance of a PEO chain. B) Calculate the spring constant and the force needed to stretch a single PEO coil to an end-end extension of 15 nm. Recalculate the force for an extension of 30 nm. Recall that kT (which appears in the formula for the spring constant, is equal to 4.11 x 10-21 J at room temperature.) C) Calculate the spring constant for a PEO chain having a molecular weight of 100,000 g/mol. D) Now consider the stretching force to maintain a chain having 10,000 g/mol at an extension of 30 nm. If there were many chains weighing a total of a gram, all of which are stretched to the same exent, you might be able to the material deform. (When al the chains stretch the same way, it is called affine deformation.) How much stretching force would be needed to hold a gram of chains at an end-end distance of 30 nm