For a linear molecule of PE with Mn=200,000, calculate the following values. Round the nearest integer for bond number. 1. Contour length. 2. End-to-end distance by assuming PE is the Gaussian chain. 3. If PE is at 200C, calculate how the ratio of trans and gauche (+/-) state changes from 140C. Assume the potential energy A doesn't change. 4. Based on the result from #3, calculate the end-to-end distance in fully stretched state. 5. Rg from #2 and #4. In the calculations, end groups can be neglected. The length of C-C is 1.54 and valence angle is 109.5