4. T4 is a bacterial virus. The virus has a head group that is roughly spherical, and which contains DNA. The virus head particles were found to have the following properties at T=293 K and in water solution: s=1025 S, D=3.6×10-8 cm²/s, and 2 for the unhydrated head group is 0.605 mL/g. Calculate the following: a. The molar weight of the head group. b. The volume of the unhydrated head group. c. The frictional coefficient of the hydrated head group. d. From your result in part c), calculate the radius and volume of hydrated head group. Assume the viscosity of water is 0.001 kg/(m s). e. From your results in parts a), b), and c), calculate the number of grams of water that hydrate each gram of head group